Word 2007 Vergelijkingseditor
Paul Verheyen, generated with
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<div class="WordSection1"> <p style="TEXT-ALIGN: center" class="MsoTocHeading" align="center"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Calibri','sans-serif'; COLOR: blue; FONT-SIZE: 24pt" lang="NL-BE">Wiskundige formules in Word 2007 en Office 2010 (Engelstalig)</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE">© Paul Verheyen (</span><span lang= "EN-US"><a href="mailto:paul.verheyen@lessius.eu"><span style= "TEXT-DECORATION: none" lang= "NL-BE">paul.verheyen@lessius.eu</span></a></span>)</p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Verdana','sans-serif'; FONT-SIZE: 22pt" lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img border="0" src="Word_2007_vgl_files/image001.png" width="105" height="86" alt="image"></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img border="0" alt="WE8.jpg" src= "Word_2007_vgl_files/image002.jpg" width="579" height="97"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: right" class="MsoNormal" align="right"> <span lang="NL-BE"> </span></p> <h1><span lang="NL-BE">Inleiding</span><a name="NODO0" id= "NODO0"></a></h1> <p class="MsoNormal"><span lang="NL-BE">Tot en met Office 2003 gebruikte Word standaard de door Microsoft meegeleverde “Equation Editor”, een gratis maar beperktere versie van het (betalende) programma MathType van Design Science, Inc (zie</span> <span lang= "EN-US"><a href="http://www.dessci.com/"><span lang= "NL-BE">http://www.dessci.com</span></a></span><span lang= "NL-BE">). In Word 2007 introduceerde Microsoft  een vernieuwd systeem om formules in een Word document te plaatsen. Dit werd in Office 2010 uitgebreid tot o.a. Powerpoint en Excel.</span></p> <p class="MsoNormal"><span lang="NL-BE">Een belangrijk voordeel hiervan is dat de formules ingebouwd zijn in en effectief deel uitmaken van Office, en niet zoals vroeger extern ingebed als een OLE-object (OLE = “Object Linking and Embedding”). Bovendien is een gratis invoegtoepassing beschikbaar (Microsoft Wiskundehulp [Engelstalig “Microsoft Mathematics”]) die CAS-uitbreidingen geeft zoals het oplossen van vergelijkingen en tekenen van grafieken (CAS = “Computer Algebra System”). Een beperking bestaat erin dat op dit moment principieel enkel het lettertype Cambria Math beschikbaar is voor deze vernieuwde formule editor.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">In wat volgt beschrijven we beknopt hoe je deze nieuwe vergelijkingseditor gebruikt via het invoegen in een formulegebied vanaf het Lint. Vervolgens gaan we in op de mogelijkheden om deze vergelijkingen ook in te brengen door het intypen van codes en lineaire formuleopbouw via het gebruik van ingebouwde (en zelf te definiëren) AutoCorrectiemogelijkheden.  We bespreken het gebruik van de Wiskundehulp add-in en het corresponderende stand-alone programma.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">We merken op dat wanneer je een formule opstelt, de lettergrootten, tekenafstand en opmaak automatisch aangepast worden aan wiskundige typografische conventies. Zo is het karakterformaat voor een variabele standaard cursief en worden namen van functies wel als normale standaard tekst neergeschreven. In dit document volgen we de ingebouwde standaardrichtlijnen voor de opmaak van wiskundeonderdelen.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <h1><a name="_Toc307064738"><span lang="NL-BE">1. Formules invoegen via het Lint</span></a></h1> <p class="MsoNormal"><span lang="NL-BE">Op het tabblad</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Insert</span></b> <span lang="NL-BE">van de</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Ribbon</span></b> <span lang="NL-BE">(“het</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Lint</span><span lang="NL-BE">”) in Word 2007 of Word 2010 zie je uiterst rechts de groep</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Symbols</span></b> <span lang="NL-BE">met opties</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Equation</span></b> <span lang="NL-BE">en</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Symbol</span><span lang="NL-BE">:</span></p> <p class="MsoNormal"><i><span lang="NL-BE">Word 2007 Engelstalig</span></i><span lang="NL-BE">:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img border="0" src="Word_2007_vgl_files/image003.jpg" width="614" height="140" alt="image"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE"> </span></p> <p class="MsoNormal"><i><span lang="NL-BE">Word 2007 Nederlands</span></i><span lang="NL-BE">:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 1" border="0" src= "Word_2007_vgl_files/image004.jpg" width="605" height="130" alt= "image" name="Picture 1"></p> <p class="MsoNormal"><span lang="NL-BE">Via de commando’s</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Equation</span></b> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">(“Vergelijking”)</span> <span lang="NL-BE">en</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Symbol</span></b> <span lang="NL-BE">(“</span><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Symbool</span><span lang="NL-BE">”) kan je respectievelijk formules en symbolen invoegen in een Word document. Je kan indien gewenst (één van) deze commando’s op de</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Quick Access toolbar</span></b> <span lang="NL-BE">(“de werkbalk</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Snelle Toegang”</span><span lang="NL-BE">) plaatsen om sneller te werken. Alternatief kan je een toetsencombinatie gebruiken (</span><b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Alt</span></b> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">+ <b>=</b>,</span> <span lang="NL-BE">zie infra).</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <h2><a name="_Toc307064739"></a><a name="_Toc271185490"><span lang= "NL-BE">Een nieuwe formule invoegen</span></a></h2> <p class="MsoNormal"><span lang="NL-BE">Als je klikt op het commando</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Equation</span> <span lang="NL-BE">wordt een wiskundig invoervak in het Word document geplaatst:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img border="0" alt="WEEq.jpg" src= "Word_2007_vgl_files/image005.jpg" width="196" height="58"></p> <p class="MsoNormal"><span lang="NL-BE">Hierin kan je zowel tekst als wiskundige formules invoeren. Men spreekt over een</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">math zone</span></b> <span lang= "NL-BE">(“</span><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">formulegebied</span><span lang="NL-BE">”). Indien de invoegpositie zich bevindt in een formulegebied, verschijnt in het</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Lint</span> <span lang="NL-BE">een contextueel hulpmiddel: het tabblad</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Design</span></b> <span lang="NL-BE">(“</span><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Ontwerpen”)</span><span lang="NL-BE">.</span></p> <p class="MsoNormal"><span lang="NL-BE">Je kan via het toetsenbord een dergelijk gebied creëren door tegelijkertijd de toets Alt en de toets = in te drukken (notatie:</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Alt</span></b> <span lang="NL-BE">+</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">=</span></b><span lang="NL-BE">).</span></p> <p class="MsoNormal"><span lang="NL-BE">Afhankelijk van de plaats waar je deze formule invoegt, krijg je een ‘</span><b><i><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">inline</span></i></b><b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">’</span></b> <span lang="NL-BE">formule of een ‘<b><i>display</i></b><i>‘</i></span> <span lang= "NL-BE">(“</span><i><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">weergave</span></i><i><span lang="NL-BE">”)</span></i> <span lang="NL-BE">formule die op een aparte lijn staat (en die je vervolgens kan centreren of wijzigen qua uitlijning [‘aligneren’]).</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Gebruik je de pijl bij dit Ribbon commando</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Equation</span><span lang="NL-BE">, dan zie je een (aanpasbare) <b>galerie met ingebouwde formules</b> die je onmiddellijk kan invoegen of waarbij je onderaan kan kiezen voor het invoegen van een nieuwe vergelijking.</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 6" border="0" alt="WE4.jpg" src= "Word_2007_vgl_files/image006.jpg" width="277" height="407" name= "Picture 6"></p> <h2><a name="_Toc307064740"></a><a name="_Toc271185491"><span lang= "NL-BE">Contextueel hulpmiddel: het tabblad Design</span></a></h2> <p class="MsoNormal"><span lang="NL-BE">Indien de invoegpositie zich bevindt in een formulegebied, kan je in het dan getoonde contextuele hulpmiddel</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Equation Tools <i>Design</i> tab</span></b> <span lang= "NL-BE">(“</span><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Hulpmiddelen voor vergelijkingen</span><span lang= "NL-BE">: tabblad </span><i><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Ontwerpen”</span></i><span lang="NL-BE">) verdere opties selecteren om de voor de hand liggende formules in te brengen.</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img border="0" alt="WE5.jpg" src= "Word_2007_vgl_files/image007.jpg" width="605" height="66"></p> <p class="MsoNormal"><span lang="NL-BE">Dit contextueel hulpmiddel bestaat uit drie groepen, nl. Tools, Symbols en Structures.</span></p> <p style="TEXT-INDENT: -18pt; MARGIN-BOTTOM: 10pt" class= "MsoListParagraph"><span style="FONT-FAMILY: Symbol" lang= "NL-BE">·<span style= "FONT: 7pt 'Times New Roman'">        </span></span> <span class="Heading4Char"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Calibri','sans-serif'; FONT-SIZE: 13pt" lang="NL-BE">Tools</span></span> <i><span lang= "NL-BE">(“</span></i><i><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Extra</span></i><i><span lang= "NL-BE">”)</span></i><span lang="NL-BE">:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img border="0" alt="WE6.jpg" src= "Word_2007_vgl_files/image008.jpg" width="155" height= "92"><span lang="NL-BE"><br> <br></span></p> <p style="TEXT-INDENT: -18pt; MARGIN-BOTTOM: 10pt" class= "MsoListParagraph"><span style="FONT-FAMILY: Symbol" lang= "NL-BE">·<span style= "FONT: 7pt 'Times New Roman'">        </span></span> <span class="Heading4Char"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Calibri','sans-serif'; FONT-SIZE: 13pt" lang="NL-BE">Symbols</span></span> <i><span lang= "NL-BE">(“</span></i><i><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Symbolen</span></i><i><span lang= "NL-BE">”)</span></i><span lang="NL-BE">:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 9" border="0" alt="WE7.jpg" src= "Word_2007_vgl_files/image009.jpg" width="579" height="90" name= "Picture 9"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE"> </span></p> <p style="TEXT-INDENT: -18pt; MARGIN-BOTTOM: 10pt" class= "MsoListParagraph"><span style="FONT-FAMILY: Symbol" lang= "NL-BE">·<span style= "FONT: 7pt 'Times New Roman'">        </span></span> <span class="Heading4Char"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Calibri','sans-serif'; FONT-SIZE: 13pt" lang="NL-BE">Structures</span></span> <i><span lang= "NL-BE">(“</span></i><i><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Structuren</span></i><i><span lang= "NL-BE">”)</span></i><span lang="NL-BE">:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img border="0" alt="WE8.jpg" src= "Word_2007_vgl_files/image010.jpg" width="579" height="97"></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">De volledige groep Symbolen kan je zien door te klikken op de ‘gestreepte pijl naar beneden’ (‘More’)</span> <img id="Picture 224" border="0" src= "Word_2007_vgl_files/image011.png" width="18" height="20" alt= "image" name="Picture 224"> <span lang="NL-BE">rechts onderaan deze groep, wat leidt tot</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 24" border="0" alt="screen1.jpg" src= "Word_2007_vgl_files/image012.jpg" width="441" height="199" name= "Picture 24"></p> <p class="MsoNormal"><span lang="NL-BE">Als je in de titelbalk van dit nieuwe venster klikt op de pijl naar beneden naast</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Basic Math</span><span lang="NL-BE">, kan je uit meerdere vensters een optie kiezen nl.</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Basic Math, Greek Letters, Letter-Like Symbols, Operators, Arrows, Negated Relations, Scripts</span> <span lang="NL-BE">en</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Geometry</span> <span lang="NL-BE">(Nederlands:</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Elementaire wiskunde</span><span lang="NL-BE">,</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Griekse letters</span><span lang="NL-BE">,</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Letterachtige symbolen</span><span lang="NL-BE">,</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Operators</span><span lang="NL-BE">,</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Pijlen</span><span lang="NL-BE">,</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Ontkende relaties</span><span lang="NL-BE">,</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Schrifttypen</span> <span lang="NL-BE">en</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Geometrie)</span><span lang="NL-BE">:</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 26" border="0" alt="screen2.jpg" src= "Word_2007_vgl_files/image013.jpg" width="441" height="220" name= "Picture 26"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE"> </span></p> <p class="Voorbeeld"><a name="_Toc271185492"><span lang= "NL-BE">Voorbeeld</span></a></p> <p class="MsoNormal"><span lang="NL-BE">We geven als beginvoorbeeld de formule</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image014.png" width="83" height="44" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">in op een aparte lijn, d.w.z. via zogenaamde ‘display equation’ (“</span><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">weergave</span> <span lang="NL-BE">stijl”).</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpFirst" align="left"><span lang= "NL-BE">1.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Zorg dat de invoegpositie zich in een formulegebied bevindt op een aparte lijn (via bv.</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Alt</span></b><span lang="NL-BE">+</span><b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">=</span></b><span lang="NL-BE">),<br></span><img border="0" alt="WEEq.jpg" src="Word_2007_vgl_files/image005.jpg" width="196" height="58"></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpLast" align="left"><span lang= "NL-BE">2.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Kies in de tab</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Design</span></b><span lang="NL-BE">, bij de groep</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Structures</span></b><span lang="NL-BE">, in</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Fraction</span></b> <span lang="NL-BE">voor</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Stacked Fraction</span></b><span style= "FONT-FAMILY: 'Cambria Math','serif'" lang= "NL-BE">,<br></span><img id="Picture 30" border="0" alt= "screen4.jpg" src="Word_2007_vgl_files/image015.jpg" width="343" height="218" name="Picture 30"></p> <p style="MARGIN-LEFT: 35.45pt" class="MsoNormal"><span lang= "NL-BE">wat leidt tot</span></p> <p style="MARGIN-LEFT: 35.45pt" class="MsoNormal"><span lang= "NL-BE"> </span><img id="Afbeelding 14" border="0" alt= "screen8.jpg" src="Word_2007_vgl_files/image016.jpg" width="72" height="78" name="Afbeelding 14"></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpFirst" align="left"><span lang= "NL-BE">3.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Plaats de invoegpositie in de teller<br></span> <img id="Afbeelding 15" border="0" alt="screen9.jpg" src= "Word_2007_vgl_files/image017.jpg" width="77" height="87" name= "Afbeelding 15"><span lang="NL-BE"><br> en kies in het tabblad</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Design</span></b><span lang="NL-BE">, bij de groep</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Structures</span></b><span lang="NL-BE">, in</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Radical</span></b> <span lang="NL-BE">voor</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Square Root</span></b><span lang= "NL-BE">,</span><span style="FONT-FAMILY: 'Cambria Math','serif'" lang="NL-BE"><br></span><img id="Picture 225" border="0" alt= "screen5.jpg" src="Word_2007_vgl_files/image018.jpg" width="436" height="195" name="Picture 225"></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpMiddle" align="left"><span lang= "NL-BE">4.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Plaats de invoegpositie onder het wortelteken in de teller en kies in het tabblad</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Design</span></b><span lang="NL-BE">, bij de groep</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Structures</span></b><span lang="NL-BE">, in</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Script</span></b> <span lang="NL-BE">voor</span> <b><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Superscript</span></b><span lang= "NL-BE"><br></span><img id="Picture 226" border="0" alt= "screen6.jpg" src="Word_2007_vgl_files/image019.jpg" width="395" height="195" name="Picture 226"></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpMiddle" align="left"><span lang= "NL-BE">5.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span style= "Z-INDEX: 3; POSITION: absolute; MARGIN-TOP: 67px; WIDTH: 19px; HEIGHT: 19px; MARGIN-LEFT: 239px; LEFT: 0px"> <img src="Word_2007_vgl_files/image020.png" width="19" height="19" alt="image"></span><span style= "Z-INDEX: 2; POSITION: absolute; MARGIN-TOP: 67px; WIDTH: 19px; HEIGHT: 19px; MARGIN-LEFT: 131px; LEFT: 0px"><img src="Word_2007_vgl_files/image020.png" width="19" height="19" alt="image"></span><span lang="NL-BE">Typ in de plaatshouders (invulvakjes) van deze superscript x als basis en 2 als exponent</span><span style= "FONT-FAMILY: 'Cambria Math','serif'" lang="NL-BE">,</span> <span style="FONT-FAMILY: 'Cambria Math','serif'" lang="NL-BE"><br> </span><span style="FONT-FAMILY: 'Cambria Math','serif'" lang= "NL-BE"> </span> <span style= "FONT-FAMILY: 'Cambria Math','serif'"><img id="Afbeelding 231" border="0" alt="screen1.jpg" src="Word_2007_vgl_files/image021.jpg" width="66" height="51" name="Afbeelding 231"></span><span style= "FONT-FAMILY: 'Cambria Math','serif'" lang= "NL-BE">  </span><span style= "FONT-FAMILY: 'Cambria Math','serif'" lang= "NL-BE">      </span><span style= "FONT-FAMILY: 'Cambria Math','serif'"><img id="Afbeelding 233" border="0" alt="screen3.jpg" src="Word_2007_vgl_files/image022.jpg" width="79" height="58" name="Afbeelding 233"></span><span style= "FONT-FAMILY: 'Cambria Math','serif'" lang= "NL-BE">      </span><span style= "FONT-FAMILY: 'Cambria Math','serif'"><img id="Afbeelding 228" border="0" alt="screen2.jpg" src="Word_2007_vgl_files/image023.jpg" width="67" height="50" name="Afbeelding 228"></span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpMiddle" align="left"><span lang= "NL-BE">6.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Zorg ervoor dat de invoegpositie zich in de teller onder het wortelteken na de tweedemacht bevindt (via de muis of door bv. de</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">pijl naar rechts</span> <span lang="NL-BE">te gebruiken via het toetsenbord: je ziet achter de tweedemacht een knipperende invoegpositie verschijnen). Typ daar + 1 in, wat leidt tot<br></span><img id="Afbeelding 229" border="0" alt="screen4.jpg" src="Word_2007_vgl_files/image024.jpg" width="96" height="49" name= "Afbeelding 229"></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpMiddle" align="left"><span lang= "NL-BE">7.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Zorg ervoor dat de invoegpositie zich in de teller na het wortelteken bevindt (door bv. de</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">pijl naar rechts</span> <span lang="NL-BE">te gebruiken op je toetsenbord) en typ daar - 1 in, <br></span> <span style= "FONT-FAMILY: 'Cambria Math','serif'"><img id="Afbeelding 230" border="0" alt="screen1.jpg" src="Word_2007_vgl_files/image025.jpg" width="125" height="49" name="Afbeelding 230"></span><span style= "FONT-FAMILY: 'Cambria Math','serif'" lang= "NL-BE"><br></span><span lang="NL-BE">Belangrijk is dat je heel duidelijk de streep bovenaan het wortelteken correct ziet verschijnen!</span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpLast" align="left"><span style="COLOR: black" lang="NL-BE">8.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Plaats de invoegpositie in de noemer (via de muis of door bv. de</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">pijl naar onder</span> <span lang="NL-BE">te gebruiken) en typ daar x in, </span> <span style="FONT-FAMILY: 'Cambria Math','serif'" lang="NL-BE"><br></span><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image014.png" width="83" height="44" alt="image"></span><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE">                                                                                                                                   </span> <span style="FONT-FAMILY: 'MS Mincho'; COLOR: red" lang= "NL-BE">●</span></p> <p class="MsoNormal"><span lang="NL-BE">Je hoeft je geen zorgen te maken over de opmaak betreffende cursivering en spatiëring. Daarvoor zorgt Word volgens de standaard typografische conventies met betrekking tot wiskundige teksten.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <h2><a name="_Toc307064741"></a><a name="_Toc271185493"><span lang= "NL-BE">Lettertype voor formules</span></a></h2> <p class="MsoNormal"><span lang="NL-BE">Standaard staat het lettertype voor formules ingesteld op “</span><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Cambria Math</span><span lang="NL-BE">” waarbij Word 2007 en 2010 gebruik maken van Unicode om formules op te bouwen en weer te geven.</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img border="0" alt="WE11.jpg" src= "Word_2007_vgl_files/image026.jpg" width="318" height="502"></p> <p class="MsoNormal"><span lang="NL-BE">Unicode is een internationale standaard voor de codering van binaire codes naar grafische tekens en symbolen (vergelijkbaar met de ASCII-standaard [“American Standard Code for Information Interchange”]). De Unicode standaard kent aan elk teken een volgnummer toe, dat geschreven wordt als U+xxxx, waarin xxxx de 4- tot 6-cijferige hexadecimale waarde van het volgnummer is. In Word kan je deze hexadecimale waarde zien door onmiddellijk na een symbool</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Alt</span></b><span lang="NL-BE">+</span><b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">x</span></b> <span lang="NL-BE">te typen. Deze toetsencombinatie is een aan/uitschakelaar: nogmaals gebruiken converteert de hexadecimale waarde naar het symbool.</span></p> <p class="MsoNormal"><span lang="NL-BE">Het aantal te gebruiken lettertypes voor de vergelijkingseditor is dan ook beperkt tot de ingebouwde types. Voorlopig is in feite slechts Cambria Math beschikbaar in Word (maar zie ook 4. Lettertypen).</span></p> <p class="MsoNormal"><span lang="NL-BE">Dit maakt het natuurlijk moeilijk om een ander soort lettertype in je gewone Word tekst te hanteren als standaard. In deze tekst werd Cambria als standaard tekst gehanteerd.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Merk op dat je bovenstaand dialoogvenster oproept door in het contextuele menu het</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">startpictogram</span> <span lang="NL-BE">bij</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Extra</span> <span lang="NL-BE">te gebruiken.</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 4" border="0" src= "Word_2007_vgl_files/image027.jpg" width="326" height="188" alt= "image" name="Picture 4"></p> <h2><a name="_Toc307064742"></a><a name="_Toc271185494"><span lang= "NL-BE">De twee voorstellingswijzen (“modes”): “professioneel” en “lineair</span></a><span lang="NL-BE">”</span></h2> <p class="MsoNormal"><span lang="NL-BE">Zoals je ziet bij</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img border="0" alt="WE6.jpg" src= "Word_2007_vgl_files/image008.jpg" width="155" height="92"></p> <p class="MsoNormal"><span lang="NL-BE">zijn er twee voorstellingswijzen, nl.</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">professional</span></b> <span lang= "NL-BE">(“professioneel”) en</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">linear</span></b> <span lang="NL-BE">(“lineair” ). Bovenstaand (“professioneel” getoond) voorbeeld</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image014.png" width="83" height="44" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">ziet er “lineair” uit als volgt:</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image028.png" width= "136" height="23" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">waarbij je merkt dat de plaatsing van de haakjes belangrijk is.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Je kan omzetten naar een andere voorstellingswijze of ‘mode’ door in een formule te klikken en op de pijl rechts onderaan het formulegebied te klikken:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img border="0" src="Word_2007_vgl_files/image029.jpg" width="376" height="309" alt="image"></p> <p class="MsoNormal"><span lang="NL-BE">Op deze wijze kan je nog andere instellingen ingeven, zoals ‘Justification’ (uitvulling =  uitlijning).</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <h2><a name="_Toc307064743"><span lang="NL-BE">“Weergave” (‘Display’) versus ‘Inline’ plaatsing</span></a></h2> <p class="MsoNormal"><span lang="NL-BE">Je kan de formule ook</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">inline</span> <span lang="NL-BE">plaatsen d.w.z. binnen een tekstregel, zoals bij</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">De breuk</span> <span style="POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 9pt" lang="EN-US"><img src="Word_2007_vgl_files/image030.png" width="50" height="34" alt="image"></span><span lang="NL-BE"> heeft als noemer x.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Merk op dat Word de grootte automatisch aanpast t.o.v. de Display opmaak. Indien gewenst kan je de tekengrootte in Word zelf via de tab</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Home</span><span lang="NL-BE">, groep</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Font</span><span lang="NL-BE">, via de optie</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Font Size</span> <span lang="NL-BE">aanpassen na ergens in de vergelijking te klikken en zo bv.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">De breuk</span> <span style="POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 11.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image031.png" width="68" height="46" alt="image"></span><span lang="NL-BE"> heeft als noemer x.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">bekomen</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Vanaf het moment dat een formulegebied zich op een tekstregel bevindt met andere tekens, wordt dit gebied automatisch geconverteerd naar de inline voorstelling.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <h1 style= "TEXT-ALIGN: left; TEXT-INDENT: -45.35pt; MARGIN-LEFT: 1cm" align= "left"><a name="_Toc307064744"><span lang="NL-BE">2.  Wiskundige AutoCorrectie en Unicode:<br> lineair een formule opbouwen</span></a></h1> <p class="MsoNormal"><span lang="NL-BE">De huidige vergelijkingseditor in Word 2007 en Office 2010 steunt op Unicode. Microsoft heeft hiermee een methode geïmplementeerd om wiskundeteksten te beheren en formules op te bouwen, naast bv. de al bestaande</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image032.png" width="58" height="22" alt="image"></span><span lang="NL-BE">en MathML systemen. In zeker opzicht zijn er gelijkenissen met de onderliggende codes voor</span><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image033.png" width="58" height="22" alt="image"></span><span lang="NL-BE">.</span></p> <p class="MsoNormal"><span lang="NL-BE">Het lettertype Cambria Math werd specifiek uitgewerkt voor deze implementatie.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">In Word bestaat al sinds 1993 (Word 6) het</span> <span class="Heading4Char"><span style= "LINE-HEIGHT: 115%; FONT-SIZE: 13pt" lang= "NL-BE">AutoCorrectie</span></span> <span lang="NL-BE">systeem, waardoor Word automatisch tekst corrigeert en opmaakt tijdens het typen. Selecteer in Word 2007 de</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Office knop</span> <span lang="NL-BE">en kies via</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Word Options</span><span lang="NL-BE">, in het verschijnende dialoogvenster rechts, voor</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Proofing</span> <span lang="NL-BE">(of ga in Word 2010 via</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">File</span><span lang="NL-BE">,</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Options</span> <span lang="NL-BE">naar</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Backstage view</span><span lang="NL-BE">). Klik op de knop</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">AutoCorrect-options.</span> <span lang="NL-BE">Je merkt dat er een standaard ingebouwde autocorrectie is, naast een wiskundige autocorrectie.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 231" border="0" alt="screen8.jpg" src= "Word_2007_vgl_files/image034.jpg" width="622" height="508" name= "Picture 231"></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img border="0" src="Word_2007_vgl_files/image035.jpg" width="485" height="295" alt="image"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Het principe van AutoCorrectie is dat bepaalde tekstfragmenten in de achtergrond automatisch omgezet worden in andere teksten. Zo gebruikt Word een woordenlijst om typfouten of woorden te corrigeren. Dit gebeurt automatisch wanneer je verder typt of wanneer je een spatie invoert. Je kan hiermee ook veelvoorkomende tekstfragmenten automatisch invoeren. Daarmee is de woordenlijst tevens een 'opslagplaats' voor teksten die je meerdere malen wil gebruiken.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span class="Heading4Char"><span style= "LINE-HEIGHT: 115%; FONT-SIZE: 13pt" lang="NL-BE">Math AutoCorrect</span></span> <span lang="NL-BE">werkt op dezelfde wijze, maar in een formulegebied wordt na bv. het intypen van een spatie deze autocorrectie uitgevoerd en de spatie verdwijnt.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="Voorbeeld"><span lang="NL-BE">Voorbeeld revisited</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image014.png" width="83" height="44" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">kan je eenvoudig met het toetsenbord invoeren als volgt</span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpFirst" align="left"><span lang= "NL-BE">1.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Creëer een formulegebied (<b>Alt</b>+<b>=</b>) en typ <b>\sqrt</b> :<br></span><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image036.png" width="38" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpMiddle" align="left"><span lang= "NL-BE">2.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Vervolg met een spatie<br></span><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image037.png" width="11" height="23" alt="image"></span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpMiddle" align="left"><span lang= "NL-BE">3.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Typ vervolgens  (x^2+1)<br></span><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image038.png" width="68" height="23" alt="image"></span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpMiddle" align="left"><span lang= "NL-BE">4.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Vervolg weer met een spatie<br></span><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image039.png" width="56" height="26" alt="image"></span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpMiddle" align="left"><span lang= "NL-BE">5.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Ga door met het typen van -1<br></span><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image040.png" width="84" height="26" alt="image"></span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpMiddle" align="left"><span lang= "NL-BE">6.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Plaats binnen dit formulegebied de volledige uitdrukking tussen haken door de haken vooraan en achteraan te typen<br></span><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image041.png" width="98" height="26" alt="image"></span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpMiddle" align="left"><span lang= "NL-BE">7.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Typ achter de eindhaak ) achtereenvolgens / en x in:<br></span><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image042.png" width= "114" height="26" alt="image"></span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpLast" align="left"><span lang= "NL-BE">8.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Druk op de spatiebalk<br></span><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image014.png" width="83" height="44" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">Indien je in stap 3 de haken niet hebt ingetypt, kan je dit achteraf eenvoudig corrigeren. Dit kan binnen de professionele weergave door de +1 onder het wortelteken te plaatsen na de tweedemacht.</span></p> <p style="MARGIN-LEFT: 14.2pt" class="MsoNormal"><span lang= "NL-BE">Bij</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image043.png" width="56" height="27" alt="image"></span></p> <p style="MARGIN-LEFT: 14.2pt" class="MsoNormal"><span lang= "NL-BE">knip je de uitdrukking +1 via Ctrl+</span><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">x</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image044.png" width="28" height="27" alt="image"></span></p> <p style="MARGIN-LEFT: 14.2pt" class="MsoNormal"><span lang= "NL-BE">en druk je vervolgens op de toets met de</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">pijl links</span> <span lang="NL-BE">om de invoegpositie correct te plaatsen, waarna je deze +1 plakt:</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image039.png" width="56" height="26" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Dit kan ook eenvoudig gebeuren door over te gaan op de lineaire voorstelling.</span></p> <p style="MARGIN-LEFT: 14.2pt" class="MsoNormal"><span lang= "NL-BE">Wijzig</span></p> <p style="TEXT-ALIGN: center; MARGIN-LEFT: 18pt" class="MsoNormal" align="center"><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image045.png" width="55" height="24" alt="image"></span><span lang="NL-BE"> </span></p> <p style="MARGIN-LEFT: 14.2pt" class="MsoNormal"><span lang= "NL-BE">in lineaire voorstelling:</span></p> <p style="TEXT-ALIGN: center; MARGIN-LEFT: 18pt" class="MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image046.png" width="82" height="23" alt="image"></span></p> <p style="MARGIN-LEFT: 14.2pt" class="MsoNormal"><span lang= "NL-BE"> en verplaats de +1 zodat die binnen de haken verschijnt:</span></p> <p style="TEXT-ALIGN: center; MARGIN-LEFT: 18pt" class="MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image047.png" width="82" height="23" alt="image"></span></p> <p style="MARGIN-LEFT: 14.2pt" class="MsoNormal"><span lang= "NL-BE">Ga terug naar professionele weergave:</span></p> <p style="TEXT-ALIGN: center; MARGIN-LEFT: 18pt" class="MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image039.png" width="56" height="26" alt="image"></span></p> <p style="TEXT-ALIGN: left; MARGIN-LEFT: 18pt" class="MsoNormal" align="left"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE">                                                                                                                                                 </span> <span style= "FONT-FAMILY: 'MS Mincho'; COLOR: red" lang="NL-BE">●</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">De meeste wiskundige autocorrectie codes starten met een backslash (\): dit is naar analogie met</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image032.png" width="58" height="22" alt="image"></span><span lang="NL-BE">.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Zo levert \alpha gevolgd door een spatie in een formulegebied</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image048.png" width="10" height="22" alt="image"></span><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">op. Elke Griekse letter kan je zo creëren.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Probeer even</span> <span style="FONT-FAMILY: 'Cambria Math','serif'" lang= "NL-BE">\doubleR</span> <span lang="NL-BE"> gevolgd door een spatie:</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image049.png" width="12" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Let op voor het feit dat deze AutoCorrect codes tot op zekere hoogte hoofdlettergevoelig zijn! Concreet betekent dit het volgende:</span></p> <p style="TEXT-INDENT: -18pt" class="MsoListParagraphCxSpFirst"> <span lang="NL-BE">-<span style= "FONT: 7pt 'Times New Roman'">         </span></span> <span lang="NL-BE">als je een codenaam bij de creatie invoert met allemaal kleine letters, dan wordt de AutoCorrectie actie uitgevoerd ongeacht hoe je de code typt,</span></p> <p style="TEXT-INDENT: -18pt" class="MsoListParagraphCxSpLast"> <span lang="NL-BE">-<span style= "FONT: 7pt 'Times New Roman'">         </span></span> <span lang="NL-BE">als je een codenaam bij de creatie invoert met minstens een hoofdletter,  dan wordt de AutoCorrectie actie slechts uitgevoerd wanneer de code op dezelfde wijze wordt ingevoerd.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Je kan zelfs deze wiskundige AutoCorrectie in Word buiten een formulegebied laten uitvoeren door de optie</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Use Math AutoCorrect rules outside of math regions</span> <span lang= "NL-BE">aan te vinken.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 241" border="0" alt="screen10.jpg" src= "Word_2007_vgl_files/image050.jpg" width="441" height="148" name= "Picture 241"></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Enkele ingebouwde codes worden in de volgende tabel gegeven:</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <div align="center"> <table style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; BORDER-COLLAPSE: collapse; BORDER-TOP: medium none; BORDER-RIGHT: medium none" class="Lichtearcering-accent11" border="1" cellspacing="0" cellpadding="0"> <tbody> <tr> <td style= "BORDER-BOTTOM: #4f81bd 1pt solid; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 1pt solid; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><b><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">Voor:</span></b></p> </td> <td style= "BORDER-BOTTOM: #4f81bd 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 1pt solid; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><b><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">Typ je:</span></b></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: #4f81bd 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 1pt solid; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><b><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">Voor:</span></b></p> </td> <td style= "BORDER-BOTTOM: #4f81bd 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 1pt solid; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><b><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">Typ je:</span></b></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">α</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\alpha</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">∞</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\infty</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">≈</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\approx</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">∫</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\int</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">⋅</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\cdot</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">{</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\lbrace</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">⋯</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\cdots</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">[</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\lbrack</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">ℂ</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\doubleC</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">≤</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\le  of  \leq of <=</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">ℕ</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\doubleN</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">↔</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\leftrightarrow</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">ℚ</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\doubleQ</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">⇔</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\Leftrightarrow</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">ℝ</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\doubleR</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><b><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></b></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">ℤ</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\doubleZ</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">↦</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\mapsto</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">↓</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\downarrow</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">≠</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">/= of \ne</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">⇓</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\Downarrow</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">→</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\rightarrow</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">∅</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\emptyset</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">⇒</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\Rightarrow</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">∃</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\exists</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">√</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\sqrt</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">∀</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\forall</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">⊂</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\subset</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">≥</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "EN-US">\ge of \geq of >=</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "EN-US"> </span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">×</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BACKGROUND: #d3dfee; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\times</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: windowtext 1pt solid; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">∈</span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">\in</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 26.95pt; PADDING-RIGHT: 5.4pt; BACKGROUND: white; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="36"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE"> </span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 38.4pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" valign="top" width="51"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">→ </span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 104.85pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1pt solid; PADDING-TOP: 0cm" valign="top" width="140"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: #365f91" lang= "NL-BE">-></span></p> </td> </tr> </tbody> </table> </div> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">In Word 2010 kan je voor de groep</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Symbols</span> <span lang="NL-BE">bij</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Insert</span><span lang="NL-BE">,</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Equation</span> <span lang="NL-BE">eenvoudig de code zien door de muis over een symbool te plaatsen bij deze groep. Dit is niet het geval in Word 2007.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Soms kan je op specifieke wijze symbolen vormen: zo ontstaat</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image051.png" width="22" height="23" alt="image"></span><span lang="NL-BE"> via \sqrt(n&x).</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <h2><a name="_Toc307064745"><span lang="NL-BE">Eigen autocorrectie items creëren</span></a></h2> <p class="MsoNormal"><span lang="NL-BE">In het</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">AutoCorrectie dialoogvenster</span><span lang="NL-BE">, kan je eigen items toevoegen. Indien je bv. sommige namen te lang vindt, kan je deze wijzigen. Je dient daartoe eerst het gewenste tekstfragment te selecteren.</span></p> <h2><a name="_Toc307064746"><span lang="NL-BE">Haken en spaties in een formulegebied</span></a></h2> <h3><a name="_Toc307064747"><span lang="NL-BE">Aantal spaties</span></a></h3> <p class="MsoNormal"><span lang="NL-BE">Sommige spaties die je typt veroorzaken de toepassing van wiskundige autocorrectie en de spatie wordt vervolgens niet weergegeven. Je moet bv. een dergelijke spatie plaatsen om een functie in te voeren die met de juiste typografie wordt getoond:</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image052.png" width="24" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 182" border="0" src= "Word_2007_vgl_files/image053.png" width="45" height="20" alt= "image" name="Picture 182"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image054.png" width="38" height="22" alt="image"></span><span lang= "EN-US"> of  </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image055.png" width="54" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="EN-US">lineair:</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image056.png" width="45" height="22" alt="image"></span><span lang= "EN-US"> of  </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image057.png" width="92" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="EN-US"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Indien je een extra spatie of meerdere extra spaties intypt die geen autocorrectie triggert, zal Word die tonen in de weergegeven vergelijking.</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Plaats bv. bij</span> <span lang= "NL-BE"> </span><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image055.png" width="54" height="22" alt="image"></span><span lang="NL-BE"> één spatie na (, twee spaties na 2 en één spatie na x:</span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: 36pt" class="MsoNormal" align="left"><span lang="NL-BE">Lineair:                                                          </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image058.png" width= "113" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: 36pt" class="MsoNormal" align="left"><span lang="NL-BE">Professioneel met underbraces:                </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 8.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image059.png" width= "106" height="26" alt="image"></span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: 36pt; MARGIN-LEFT: 36pt" class="MsoNormal" align="left"><span lang="NL-BE">…+Unicode (</span><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Alt</span><span lang="NL-BE">+</span><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">x</span><span lang="NL-BE">)                           </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 9pt" lang="EN-US"><img src="Word_2007_vgl_files/image060.png" width= "214" height="32" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">Dit verschilt van bv.</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image032.png" width="58" height="22" alt="image"></span><span lang="NL-BE">en HTML waar overbodige spaties herleid worden tot één spatie.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <h3><a name="_Toc307064748"><span lang="NL-BE">Begrenzende tekens (‘delimiters’)</span></a></h3> <p class="MsoNormal"><span lang="NL-BE">Bij begrenzers denken we standaard aan haken zoals</span></p> <p style="TEXT-INDENT: -18pt" class="MsoListParagraph"><span style= "FONT-FAMILY: Symbol" lang="NL-BE">·<span style= "FONT: 7pt 'Times New Roman'">        </span></span> <span lang="NL-BE">ronde haken, ‘parentheses’</span></p> <p style="TEXT-INDENT: 18pt; MARGIN-LEFT: 198pt" class="MsoNormal"> <span lang="NL-BE">(                      </span></p> <p style="TEXT-INDENT: 36pt; MARGIN-LEFT: 180pt" class="MsoNormal"> <span lang="NL-BE">)                      </span></p> <p style="TEXT-INDENT: -18pt" class="MsoListParagraph"><span style= "FONT-FAMILY: Symbol" lang="NL-BE">·<span style= "FONT: 7pt 'Times New Roman'">        </span></span> <span lang="NL-BE">vierkante haken, ‘brackets’</span></p> <p style="TEXT-INDENT: 18pt; MARGIN-LEFT: 198pt" class="MsoNormal"> <span lang= "NL-BE">[                       \lbrack</span></p> <p style="TEXT-INDENT: 36pt; MARGIN-LEFT: 180pt" class="MsoNormal"> <span lang= "NL-BE">]                       \rbrack</span></p> <p style="TEXT-INDENT: -18pt" class="MsoListParagraph"><span style= "FONT-FAMILY: Symbol" lang="NL-BE">·<span style= "FONT: 7pt 'Times New Roman'">        </span></span> <span lang="NL-BE">en accolades, ‘braces’</span></p> <p style="MARGIN-LEFT: 54pt" class="MsoNormal"><span lang= "NL-BE">                                                     </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image061.png" width="6" height="22" alt="image"></span><span lang= "NL-BE">                       \lbrace</span></p> <p style="MARGIN-LEFT: 54pt" class="MsoNormal"><span lang= "NL-BE">                                                     </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image062.png" width="6" height="22" alt="image"></span><span lang= "NL-BE">                       \rbrace,</span></p> <p class="MsoNormal"><span lang="NL-BE">maar ook andere ‘delimiters’ zoals bv.</span></p> <p style="TEXT-INDENT: -18pt" class="MsoListParagraph"><span style= "FONT-FAMILY: Symbol" lang="NL-BE">·<span style= "FONT: 7pt 'Times New Roman'">        </span></span> <span lang="NL-BE">kantige haken</span></p> <p style="TEXT-INDENT: 18pt; MARGIN-LEFT: 198pt" class="MsoNormal"> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image063.png" width="6" height="22" alt="image"></span><span lang= "NL-BE">                       \bra</span></p> <p style="TEXT-INDENT: 36pt; MARGIN-LEFT: 180pt" class="MsoNormal"> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image064.png" width="6" height="22" alt="image"></span><span lang= "NL-BE">                       \ket</span></p> <p style="TEXT-INDENT: -18pt" class="MsoListParagraph"><span style= "FONT-FAMILY: Symbol" lang="NL-BE">·<span style= "FONT: 7pt 'Times New Roman'">        </span></span> <span lang="NL-BE">verticale lijnen</span></p> <p style="MARGIN-LEFT: 216pt" class="MsoNormal"><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image065.png" width="10" height="22" alt="image"></span><span lang= "NL-BE">                      \vbar</span></p> <p style="TEXT-INDENT: -18pt" class="MsoListParagraph"><span style= "FONT-FAMILY: Symbol" lang="NL-BE">·<span style= "FONT: 7pt 'Times New Roman'">        </span></span> <span lang="NL-BE">normtekens</span></p> <p style="MARGIN-LEFT: 216pt" class="MsoNormal"><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image066.png" width="8" height="22" alt="image"></span><span lang= "NL-BE">                      \norm  </span></p> <p style="TEXT-INDENT: -18pt" class="MsoListParagraph"><span style= "FONT-FAMILY: Symbol" lang="NL-BE">·<span style= "FONT: 7pt 'Times New Roman'">        </span></span> <span lang="NL-BE">floor of ceiling tekens</span></p> <p style="MARGIN-LEFT: 216pt" class="MsoNormal"><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image067.png" width="6" height="22" alt="image"></span><span lang= "NL-BE">                       \lfloor</span></p> <p style="MARGIN-LEFT: 216pt" class="MsoNormal"><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image068.png" width="6" height="22" alt="image"></span><span lang= "NL-BE">                       \lceil</span></p> <p style="MARGIN-LEFT: 216pt" class="MsoNormal"><span style= "FONT-FAMILY: 'Cambria Math','serif'" lang="NL-BE">⌋</span> <span lang= "NL-BE">                      \rfloor</span></p> <p style="MARGIN-LEFT: 216pt" class="MsoNormal"><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image069.png" width="6" height="22" alt="image"></span><span lang= "NL-BE">                       \rceil</span></p> <p class="MsoNormal"><span lang="NL-BE">en andere kunnen optreden.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">De meeste begrenzers kennen <b>een natuurlijke open en sluit</b> (‘close’) <b>toestand</b> (bv. [ voor open en ] voor sluiten). Wil je hiervan afwijken, kan je deze begrenzer laten voorafgaan door</span></p> <p class="MsoNormal"><span lang= "NL-BE">                                                                       </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image070.png" width="10" height="22" alt="image"></span><span lang= "NL-BE">                      \open</span></p> <p class="MsoNormal"><span lang="NL-BE">of</span></p> <p class="MsoNormal"><span lang= "NL-BE">                                                                       </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image071.png" width="10" height="22" alt="image"></span><span lang= "NL-BE">                      \close </span></p> <p class="MsoNormal"><span lang="NL-BE">waardoor ook ‘lege begrenzers’ kunnen gevormd worden. Het al dan niet gebruik van de open of sluit situatie beïnvloedt de grootte van de begrenzers.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Binnen begrenzers kunnen scheidingstekens gebruikt worden zoals een punt, komma, puntkomma,</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image065.png" width="10" height="22" alt="image"></span><span lang="NL-BE">(\vbar) of</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image072.png" width="5" height="22" alt="image"></span><span lang="NL-BE"> (\mid, gebruikt in bv. </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 9pt" lang="EN-US"><img src="Word_2007_vgl_files/image073.png" width="93" height="31" alt="image"></span><span lang="NL-BE">).</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Er zijn ook mogelijkheden om begrenzers bovenaan of onderaan te plaatsen, zoals bv.</span></p> <p class="MsoNormal"><span lang= "NL-BE">                                                                       </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image074.png" width="10" height="22" alt="image"></span><span lang= "NL-BE">                      \overbrace</span></p> <p class="MsoNormal"><span lang= "NL-BE">                                                                       </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image075.png" width="10" height="22" alt="image"></span><span lang= "NL-BE">                      \overparen  (overparenthesis)</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Een teken i.h.b. een begrenzer kan je letterlijk weergeven door het te laten voorafgaan door een backslash (\), bv.</span></p> <p class="MsoNormal"><span lang= "NL-BE">                                               </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image076.png" width="23" height="22" alt="image"></span><span lang= "NL-BE"> geeft</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image077.png" width="15" height="22" alt="image"></span></p> <p class="MsoNormal"><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image078.png" width="17" height="22" alt="image"></span><span lang= "NL-BE"> geeft</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image079.png" width="9" height="22" alt="image"></span><span lang="NL-BE"> zonder dat Word een poging onderneemt tot opbouw van een formule.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Bij de vorige topic (aantal haken) merk je ook al de begin en einde tekens</span></p> <p class="MsoNormal"><span lang= "NL-BE">                                                                       </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image080.png" width="16" height="22" alt="image"></span><span lang= "NL-BE">                    \begin</span></p> <p class="MsoNormal"><span lang= "NL-BE">                                                                       </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image081.png" width="16" height="22" alt="image"></span><span lang= "NL-BE">                    \end</span></p> <p class="MsoNormal"><span lang="NL-BE">op bij</span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: 36pt; MARGIN-LEFT: 36pt" class="MsoNormal" align="left"><span lang="NL-BE">Lineair:                        </span><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image082.png" width= "102" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <h3><a name="_Toc307064749"><span lang="NL-BE">Aantal begrenzers (“haken”)</span></a></h3> <p class="MsoNormal"><span lang="NL-BE">Je hebt waarschijnlijk reeds gemerkt dat sommige ronde haken die je plaatst rond een uitdrukking niet getoond worden in de professionele voorstelling, zoals bij</span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: 36pt; MARGIN-LEFT: 36pt" class="MsoNormal" align="left"><span lang= "NL-BE">Lineair:                      </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image083.png" width="66" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: 36pt; MARGIN-LEFT: 36pt" class="MsoNormal" align="left"><span lang= "NL-BE">Professioneel:                </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 11.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image084.png" width="31" height="40" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">Dit heeft te maken met herkenning van wiskundige uitdrukkingen.</span></p> <p class="MsoNormal"><span lang="NL-BE">Wil je uitzonderlijk toch haken tonen, dan plaats je dubbele haken:</span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: 36pt; MARGIN-LEFT: 36pt" class="MsoNormal" align="left"><span lang= "NL-BE">Lineair:                      </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image085.png" width="80" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: 36pt; MARGIN-LEFT: 36pt" class="MsoNormal" align="left"><span lang= "NL-BE">Professioneel:                </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 11.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image086.png" width="43" height="42" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <h3><a name="_Toc307064750"><span lang="NL-BE">Grootte van begrenzers</span></a></h3> <p class="MsoNormal"><span lang="NL-BE">Vergelijk de professionele voorstellingen links (rechts staat de lineaire weergave):</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <table style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; BORDER-COLLAPSE: collapse; BORDER-TOP: medium none; BORDER-RIGHT: medium none" class="MsoTableGrid" border="0" cellspacing="0" cellpadding="0"> <tbody> <tr> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image087.png" width="37" height="36" alt="image"></span></p> </td> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image088.png" width="51" height="22" alt="image"></span></p> </td> </tr> </tbody> </table> <p class="MsoNormal"><span lang="NL-BE">met</span></p> <table style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; BORDER-COLLAPSE: collapse; BORDER-TOP: medium none; BORDER-RIGHT: medium none" class="MsoTableGrid" border="0" cellspacing="0" cellpadding="0"> <tbody> <tr> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image089.png" width="40" height="36" alt="image"></span></p> </td> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image090.png" width="51" height="22" alt="image"></span></p> </td> </tr> </tbody> </table> <p class="MsoNormal"><span lang="NL-BE">en</span></p> <table style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; BORDER-COLLAPSE: collapse; BORDER-TOP: medium none; BORDER-RIGHT: medium none" class="MsoTableGrid" border="0" cellspacing="0" cellpadding="0"> <tbody> <tr> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image091.png" width="37" height="36" alt="image"></span></p> </td> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image092.png" width="72" height="22" alt="image"></span></p> </td> </tr> </tbody> </table> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Opdat de grootte van de haken zich aanpast aan de grootte van de inhoud, dien je bij een niet standaard open en sluiten begrenzing expliciet deze open of sluiten situatie aan te duiden. Zie ook</span></p> <table style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; BORDER-COLLAPSE: collapse; BORDER-TOP: medium none; BORDER-RIGHT: medium none" class="MsoTableGrid" border="0" cellspacing="0" cellpadding="0"> <tbody> <tr> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image093.png" width="37" height="36" alt="image"></span></p> </td> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image094.png" width="61" height="22" alt="image"></span></p> </td> </tr> <tr> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="NL-BE"> </span></p> </td> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="NL-BE"> </span></p> </td> </tr> <tr> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image095.png" width="37" height="36" alt="image"></span></p> </td> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image096.png" width="62" height="22" alt="image"></span></p> </td> </tr> </tbody> </table> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Andere begrenzers zijn op analoge wijze te gebruiken:</span></p> <table style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; BORDER-COLLAPSE: collapse; BORDER-TOP: medium none; BORDER-RIGHT: medium none" class="MsoTableGrid" border="0" cellspacing="0" cellpadding="0"> <tbody> <tr> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image097.png" width="69" height="36" alt="image"></span></p> </td> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image098.png" width="87" height="22" alt="image"></span></p> </td> </tr> </tbody> </table> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <h3><a name="_Toc307064751"><span lang="NL-BE">Sub- en superscripten bij begrenzers</span></a></h3> <p class="MsoNormal"><span lang="NL-BE">Je kan op de gewone wijze met _ en ^ resp. sub- en superscripten aanbrengen:</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <table style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; BORDER-COLLAPSE: collapse; BORDER-TOP: medium none; BORDER-RIGHT: medium none" class="MsoTableGrid" border="0" cellspacing="0" cellpadding="0"> <tbody> <tr> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image099.png" width= "104" height="61" alt="image"></span></p> </td> <td style= "PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 237.5pt; PADDING-RIGHT: 5.4pt; PADDING-TOP: 0cm" width="317"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image100.png" width= "198" height="23" alt="image"></span></p> </td> </tr> </tbody> </table> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Het teken</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image101.png" width="14" height="22" alt="image"></span><span lang= "NL-BE"> </span><span lang="NL-BE">staat voor de “n-aryand operator” Unicode</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image102.png" width="35" height="22" alt="image"></span><span lang="NL-BE">, autocorrectiecode \naryand (ook \of). Bij</span> <i><span style= "LINE-HEIGHT: 115%; FONT-SIZE: 11.5pt" lang= "NL-BE">n</span></i><span style= "LINE-HEIGHT: 115%; FONT-SIZE: 11.5pt" lang="NL-BE">-voudige operatoren zoals een integraal, som of product is er naast de sub/superscript of boven/onder agumenten een derde argument: de “<i>n</i>-aryand”. Voor een integraal is dit de integrand.</span></p> <p class="MsoNormal"><a name="_Toc307064752"><span lang= "NL-BE"> </span></a></p> <h1 style="TEXT-ALIGN: left" align="left"><span lang="NL-BE">3. De Microsoft Mathematics add-in<br>                    (invoegtoepassing “Microsoft Wiskundehulp”)</span><a name="NODO1" id="NODO1"></a></h1> <p class="MsoNormal"><span lang="NL-BE">Via de site van Microsoft</span></p> <p class="MsoNormal"><span lang="EN-US"><a href= "http://www.microsoft.com/download/en/details.aspx?id=17786"><span lang="NL-BE"> http://www.microsoft.com/download/en/details.aspx?id=17786</span></a></span></p> <p class="MsoNormal"><span lang="NL-BE">kan je de gratis invoegtoepassing Microsoft Wiskundehulp voor Word downloaden (voor de Nederlandse versie 2.0.040811.01, publicatiedatum 30-12-2010, zie</span> <span lang="EN-US"><a href= "http://www.microsoft.com/downloads/nl-nl/details.aspx?FamilyID=ca620c50-1a56-49d2-90bd-b2e505b3bf09"> <span style="LINE-HEIGHT: 115%" lang= "NL-BE">http://www.microsoft.com/downloads/nl-nl/details.aspx?FamilyID=ca620c50-1a56-49d2-90bd-b2e505b3bf09</span></a></span><span lang="NL-BE">). Hierdoor kan je in een Word document eenvoudig grafieken in 2D en 3D tekenen, numerieke uitkomsten berekenen, vergelijkingen oplossen en algebraïsche expressies vereenvoudigen. Deze invoegtoepassing vereist wel dat de betrokken uitdrukkingen in het formaat van de vergelijkingseditor van Word 2007-2010 staan.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Na installatie gebeuren er twee zaken in het</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Lint</span><span lang="NL-BE">:</span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraph" align="left"><span class= "Heading4Char"><span style= "LINE-HEIGHT: 115%; FONT-STYLE: normal; FONT-FAMILY: Symbol; COLOR: windowtext; FONT-WEIGHT: normal" lang="NL-BE">·<span style= "FONT: 7pt 'Times New Roman'">        </span></span></span> <span lang="NL-BE">er verschijnt een </span><span class= "Heading4Char"><span style="LINE-HEIGHT: 115%; FONT-SIZE: 13pt" lang="NL-BE">nieuw tabblad Mathematics (“Wiskunde”)</span></span></p> <p style="TEXT-ALIGN: center; MARGIN-LEFT: 18pt" class="MsoNormal" align="center"><img id="Picture 2" border="0" alt="screen1.jpg" src="Word_2007_vgl_files/image103.jpg" width="417" height="90" name="Picture 2"></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpFirst" align="left"><span style= "FONT-FAMILY: Symbol" lang="NL-BE">·<span style= "FONT: 7pt 'Times New Roman'">        </span></span> <span lang="NL-BE">en een vierde </span><span class= "Heading4Char"><span style="LINE-HEIGHT: 115%; FONT-SIZE: 13pt" lang="NL-BE">groep Math bij het contextuele tabblad Design</span></span><span lang="NL-BE">:</span></p> <p style="TEXT-INDENT: 36pt; MARGIN-LEFT: 180pt" class= "MsoListParagraphCxSpLast"><img id="Picture 3" border="0" alt= "screen2.jpg" src="Word_2007_vgl_files/image104.jpg" width="102" height="87" name="Picture 3"></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Wanneer je met de rechtermuisknop op een vergelijking klikt, verschijnt er een uitgebreid</span> <b><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">snelmenu</span></b> <span lang="NL-BE">aangepast aan de ingevoerde formule, waarmee je bv. berekeningen kan uitvoeren (zie infra bij de voorbeelden).</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p class="Voorbeeld"><span lang="NL-BE">Voorbeeld Wiskundehulp 1</span></p> <p class="MsoNormal"><span lang="NL-BE">Wil je bv.</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image105.png" width="28" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">numeriek uitrekenen, dan klik je op deze formule met de rechtermuisknop en selecteert</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Compute</span> <span lang="NL-BE">></span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Calculate</span> <span lang="NL-BE">(“</span><i><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Berekenen</span></i> <i><span lang="NL-BE">></span></i> <i><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Berekenen</span></i><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">”)</span><span lang="NL-BE">:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 5" border="0" alt="screen1.jpg" src= "Word_2007_vgl_files/image106.jpg" width="358" height="436" name= "Picture 5"></p> <p class="MsoNormal"><span lang="NL-BE"> zodat</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image107.png" width="39" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">wordt getoond. Je kan beide formulegebieden samenvoegen en tot</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image108.png" width="88" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">komen als volgt vanaf de beginsituatie</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image105.png" width="28" height="22" alt="image"></span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image107.png" width="39" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpFirst" align="left"><span lang= "NL-BE">1.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Typ = in het formulegebied achteraan de uitdrukking</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image105.png" width="28" height="22" alt="image"></span><span lang="NL-BE"><br> Je bekomt<br>                                                   </span> <img id="Afbeelding 134" border="0" alt="1.jpg" src= "Word_2007_vgl_files/image109.jpg" width="69" height="50" name= "Afbeelding 134"></p> <p style="TEXT-ALIGN: left; TEXT-INDENT: -18pt" class= "MsoListParagraphCxSpLast" align="left"><span lang= "NL-BE">2.<span style= "FONT: 7pt 'Times New Roman'">     </span></span> <span lang="NL-BE">Plaats de invoegpositie net achter dit gelijkheidsteken en druk op</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Delete</span><span lang="NL-BE">, waardoor de formulegebieden samensmelten tot één gebied:<br>                                                </span> <img id="Afbeelding 135" border="0" alt="1.jpg" src= "Word_2007_vgl_files/image110.jpg" width="136" height="40" name= "Afbeelding 135"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Je moet wel als decimale punt notatie een punt gebruiken en geen komma!</span></p> <p style="TEXT-ALIGN: left; MARGIN-LEFT: 18pt" class="MsoNormal" align="left"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE">                                                                                                                                                 </span> <span style= "FONT-FAMILY: 'MS Mincho'; COLOR: red" lang="NL-BE">●</span></p> <p class="MsoNormal"> </p> <p class="Voorbeeld"><span lang="NL-BE">Voorbeeld Wiskundehulp 2</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 11.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image111.png" width="9" height="40" alt="image"></span><span lang="NL-BE"> geeft analoog als numeriek resultaat</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image112.png" width= "127" height="22" alt="image"></span><span lang= "NL-BE">.</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Als je vooraf het aantal decimalen bepaalt in het tabblad</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Mathematics</span> <span lang="NL-BE">van het</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Lint,</span> <span lang="NL-BE">bekom je dit numeriek resultaat met het gewenste aantal bepaalde decimalen:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 7" border="0" alt="screen3.jpg" src= "Word_2007_vgl_files/image113.jpg" width="422" height="185" name= "Picture 7"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">leidt na de benadering met de rechtermuisknop te kiezen, tot</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image114.png" width="30" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: left; MARGIN-LEFT: 18pt" class="MsoNormal" align="left"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE">                                                                                                                                                 </span> <span style= "FONT-FAMILY: 'MS Mincho'; COLOR: red" lang="NL-BE">●</span></p> <p style="TEXT-ALIGN: left; MARGIN-LEFT: 18pt" class="MsoNormal" align="left"><span style="COLOR: red" lang= "NL-BE"> </span></p> <p class="Voorbeeld"><span lang="NL-BE">Voorbeeld Wiskundehulp 3</span></p> <p class="MsoNormal"><span style= "Z-INDEX: 1; POSITION: absolute; MARGIN-TOP: 31px; WIDTH: 95px; HEIGHT: 100px; MARGIN-LEFT: 340px; LEFT: 0px"> <img src="Word_2007_vgl_files/image115.png" width="95" height="100" alt="image"></span><span lang="NL-BE">Om goniometrische berekeningen uit te voeren, moet je de gewenste eenheden kiezen in</span> <span lang="NL-BE">het tabblad</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Mathematics:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 8" border="0" alt="screen4.jpg" src= "Word_2007_vgl_files/image116.jpg" width="424" height="86" name= "Picture 8"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Via</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Radians (“<i>Radialen</i>”)</span> <span lang="NL-BE">bekom je (via twee decimalen benadering)</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image117.png" width= "105" height="22" alt="image"></span><span lang="NL-BE"> en  </span><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image118.png" width="77" height="22" alt="image"></span><span lang="NL-BE">, terwijl je voor</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Degrees (“<i>Graden</i>”)</span> <span lang="NL-BE">(een standaardinstelling tenzij je die wijzigt) vindt dat</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image119.png" width="76" height="22" alt="image"></span><span lang="NL-BE"> en</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image120.png" width= "183" height="22" alt="image"></span><span lang= "NL-BE">.</span></p> <p style="TEXT-ALIGN: left; MARGIN-LEFT: 18pt" class="MsoNormal" align="left"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE">                                                                                                                                                 </span> <span style= "FONT-FAMILY: 'MS Mincho'; COLOR: red" lang="NL-BE">●</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="Voorbeeld"><span lang="NL-BE">Voorbeeld Wiskundehulp 4</span></p> <p class="MsoNormal"><span lang="NL-BE">Je laat Word via deze invoegtoepassing de vergelijking</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image121.png" width= "111" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">oplossen. Klik op deze formule met de rechtermuisknop en kies voor</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Compute</span> <span lang="NL-BE">></span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Solve for x          (“<i>Berekenen</i></span> <i><span lang="NL-BE">></span></i> <i><span style="FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">Oplossen voor x</span></i><span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang= "NL-BE">”)</span><span lang="NL-BE">:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 10" border="0" alt="screen5.jpg" src= "Word_2007_vgl_files/image122.jpg" width="421" height="408" name= "Picture 10"></p> <p class="MsoNormal"><span lang="NL-BE">Dit leidt tot</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Afbeelding 100" border="0" alt="m01.jpg" src= "Word_2007_vgl_files/image123.jpg" width="168" height="59" name= "Afbeelding 100"></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Wil je hierbij tekst invoegen en formulegebieden in één alinea plaatsen, kan je eenvoudig over gaan naar</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image124.png" width= "115" height="22" alt="image"></span><span lang= "NL-BE"> </span><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image125.png" width="19" height="22" alt="image"></span><span lang= "NL-BE"> </span><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image126.png" width= "114" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Voor</span> <span style= "FONT-FAMILY: 'Cambria Math','serif'" lang="NL-BE"><br> </span><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image127.png" width= "111" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">bekom je analoog</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image128.png" width= "211" height="43" alt="image"></span></p> <p style="TEXT-ALIGN: left; MARGIN-LEFT: 18pt" class="MsoNormal" align="left"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE">                                                                                                                                                 </span> <span style= "FONT-FAMILY: 'MS Mincho'; COLOR: red" lang="NL-BE">●</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="Voorbeeld"><span lang="NL-BE">Voorbeeld Wiskundehulp 5</span></p> <p class="MsoNormal"><span lang="NL-BE">Zelfs een algemene algebraïsche vorm van een vierkantsvergelijking kan je oplossen:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 12" border="0" alt="screen6.jpg" src= "Word_2007_vgl_files/image129.jpg" width="564" height="317" name= "Picture 12"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span class="Heading4Char"><span style= "LINE-HEIGHT: 115%; FONT-STYLE: normal; FONT-FAMILY: 'Calibri','sans-serif'; FONT-SIZE: 13pt"> Solve for voor x</span></span> <span lang="NL-BE">geeft in</span> <span style="FONT-FAMILY: 'Cambria Math','serif'" lang= "NL-BE">ℝ</span><span lang="NL-BE">:</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 17" border="0" alt="screen9.jpg" src= "Word_2007_vgl_files/image130.jpg" width="594" height="170" name= "Picture 17"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">of voor de Nederlandse versie</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Afbeelding 117" border="0" alt="m2.jpg" src= "Word_2007_vgl_files/image131.jpg" width="585" height="185" name= "Afbeelding 117"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">en bv.  </span><span class= "Heading4Char"><span style= "LINE-HEIGHT: 115%; FONT-STYLE: normal; FONT-FAMILY: 'Calibri','sans-serif'; FONT-SIZE: 13pt">Solve for voor</span></span> <span class="Heading4Char"><span style= "LINE-HEIGHT: 115%; FONT-STYLE: normal; FONT-FAMILY: 'Calibri','sans-serif'; FONT-SIZE: 13pt" lang="NL-BE">a</span></span> <span lang="NL-BE">geeft</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 19" border="0" alt="screen8.jpg" src= "Word_2007_vgl_files/image132.jpg" width="496" height="131" name= "Picture 19"></p> <p style="TEXT-ALIGN: left; MARGIN-LEFT: 18pt" class="MsoNormal" align="left"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE">                                                                                                                                                 </span> <span style= "FONT-FAMILY: 'MS Mincho'; COLOR: red" lang="NL-BE">●</span></p> <p class="Voorbeeld"><span lang="NL-BE">Voorbeeld Wiskundehulp 6</span></p> <p class="MsoNormal"><span lang="NL-BE">Sommige ongelijkheden worden automatisch opgelost:</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image133.png" width="74" height="22" alt="image"></span><span lang= "NL-BE"> </span><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image125.png" width="19" height="22" alt="image"></span><span lang= "NL-BE"> </span><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image134.png" width= "114" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE">Engelstalig natuurlijk:</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image135.png" width= "113" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style="FONT-FAMILY: 'Cambria Math','serif'" lang= "NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Afbeelding 119" border="0" alt="m4.jpg" src= "Word_2007_vgl_files/image136.jpg" width="444" height="300" name= "Afbeelding 119"></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image137.png" width= "135" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">Analoog:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image138.png" width="74" height="22" alt="image"></span><span lang= "NL-BE"> </span><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image139.png" width= "137" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image140.png" width="74" height="22" alt="image"></span><span lang= "NL-BE"> </span><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image125.png" width="19" height="22" alt="image"></span><span lang="NL-BE"> </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image141.png" width= "102" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">en soms bekom je</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 21" border="0" alt="screen10.jpg" src= "Word_2007_vgl_files/image142.jpg" width="458" height="126" name= "Picture 21"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Afbeelding 1" border="0" src= "Word_2007_vgl_files/image143.png" width="496" height="169" alt= "image" name="Afbeelding 1"></p> <p class="MsoNormal"><span lang="NL-BE">bv. bij</span></p> <p class="MsoNormal"><span lang= "NL-BE">                                               </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image144.png" width= "150" height="22" alt="image"></span><span lang= "NL-BE">                                                                </span> <span style= "FONT-FAMILY: 'MS Mincho'; COLOR: red" lang="NL-BE">●</span></p> <p class="Voorbeeld"><span lang="NL-BE">Voorbeeld Wiskundehulp 7</span></p> <p class="MsoNormal"><span lang="NL-BE">In tegenstelling tot de corresponderende ongelijkheid uit het vorige voorbeeld kan</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image145.png" width= "150" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">wel opgelost worden</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image146.png" width= "178" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Je kan zelfs</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image147.png" width= "121" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">in factoren ontbinden:</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image148.png" width= "158" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Afbeelding 121" border="0" alt="01.jpg" src= "Word_2007_vgl_files/image149.jpg" width="624" height="145" name= "Afbeelding 121"></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Ontwikkelen van een dergelijk ontbonden product</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image148.png" width= "158" height="22" alt="image"></span><span lang= "NL-BE"> </span><span lang="NL-BE">kan eveneens:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 25" border="0" alt="screen11.jpg" src= "Word_2007_vgl_files/image150.jpg" width="433" height="161" name= "Picture 25"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Afbeelding 122" border="0" alt="01.jpg" src= "Word_2007_vgl_files/image151.jpg" width="624" height="157" name= "Afbeelding 122"></p> <p style="TEXT-ALIGN: left; MARGIN-LEFT: 18pt" class="MsoNormal" align="left"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE">                                                                                                                                                 </span> <span style= "FONT-FAMILY: 'MS Mincho'; COLOR: red" lang="NL-BE">●</span></p> <p class="MsoNormal"> </p> <p class="Voorbeeld"><span lang="NL-BE">Voorbeeld Wiskundehulp 8</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Grafieken creëren gebeurt eenvoudig maar je moet verplicht x en y als variabelen gebruiken bij cartesische coördinaten:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 27" border="0" alt="screen12.jpg" src= "Word_2007_vgl_files/image152.jpg" width="526" height="341" name= "Picture 27"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Afbeelding 123" border="0" alt="01.jpg" src= "Word_2007_vgl_files/image153.jpg" width="624" height="70" name= "Afbeelding 123"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 29" border="0" alt="screen13.jpg" src= "Word_2007_vgl_files/image154.jpg" width="622" height="475" name= "Picture 29"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">wat in proportionele voorstelling, via</span> <img border="0" alt="screen15.jpg" src= "Word_2007_vgl_files/image155.jpg" width="20" height= "21"><span lang="NL-BE">  bij</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 242" border="0" alt="screen15.jpg" src= "Word_2007_vgl_files/image156.jpg" width="210" height="133" name= "Picture 242"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">  leidt tot</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 240" border="0" alt="screen14.jpg" src= "Word_2007_vgl_files/image157.jpg" width="622" height="475" name= "Picture 240"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Klik op Insert om deze grafiek in te voegen.</span></p> <p style="TEXT-ALIGN: left; MARGIN-LEFT: 18pt" class="MsoNormal" align="left"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE">                                                                                                                                                 </span> <span style= "FONT-FAMILY: 'MS Mincho'; COLOR: red" lang="NL-BE">●</span></p> <p class="MsoNormal"> </p> <p class="Voorbeeld"><span lang="NL-BE">Voorbeeld Wiskundehulp 9</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Afgeleiden en (on)bepaalde integralen zijn (soms) berekenbaar.</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image158.png" width= "273" height="39" alt="image"></span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 244" border="0" alt="screen16.jpg" src= "Word_2007_vgl_files/image159.jpg" width="336" height="163" name= "Picture 244"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Afbeelding 126" border="0" alt="01.jpg" src= "Word_2007_vgl_files/image160.jpg" width="607" height="164" name= "Afbeelding 126"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Via</span> <span style= "FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Integrate on x</span> <span lang="NL-BE">bekom je</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image161.png" width= "355" height="43" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">en</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 10pt" lang="EN-US"><img src="Word_2007_vgl_files/image162.png" width="72" height="35" alt="image"></span><span lang="NL-BE"> =</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image163.png" width="88" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">Let hierbij goed op: het gaat hier om de inverse functie</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image164.png" width="68" height="22" alt="image"></span><span lang="NL-BE"> als cyclometrische functie en niet om</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 10.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image165.png" width="34" height="32" alt="image"></span><span lang="NL-BE">.</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left; MARGIN-BOTTOM: 10pt" class="MsoNormal" align="left"><span lang="NL-BE">Soms verkrijg je ongebruikelijke (maar correcte) resultaten: zo levert het integreren van  </span><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 10.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image166.png" width="42" height="36" alt="image"></span><span style= "LINE-HEIGHT: 115%; FONT-SIZE: 14pt" lang="NL-BE"> </span> <span lang="NL-BE">naar x  het antwoord   </span><span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 9pt" lang="EN-US"><img src="Word_2007_vgl_files/image167.png" width= "115" height="32" alt="image"></span><span lang="NL-BE">  op.                                                        </span> <span style= "FONT-FAMILY: 'MS Mincho'; COLOR: red" lang="NL-BE">●</span></p> <p style="TEXT-ALIGN: left; MARGIN-BOTTOM: 10pt" class="MsoNormal" align="left"><span style="FONT-FAMILY: 'Cambria Math','serif'" lang="NL-BE"> </span></p> <p class="Voorbeeld"><span lang="NL-BE">Voorbeeld Wiskundehulp 10</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Bewerkingen met matrices zijn mogelijk, voor bv.</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image168.png" width="71" height="54" alt="image"></span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">kan je de inverse of de determinant berekenen.</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"><img id= "Picture 245" border="0" alt="screen17.jpg" src= "Word_2007_vgl_files/image169.jpg" width="561" height="549" name= "Picture 245"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"><img id= "Afbeelding 127" border="0" alt="01.jpg" src= "Word_2007_vgl_files/image170.jpg" width="613" height="218" name= "Afbeelding 127"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Je bekomt als determinant</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image171.png" width="18" height="22" alt="image"></span><span lang="NL-BE">,</span> <span lang="NL-BE">terwijl de inverse getoond wordt via ronde haken</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image172.png" width= "136" height="117" alt="image"></span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Kopieer (het binnengebied van) deze matrix naar een formule met de gedaante</span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image173.png" width="26" height="22" alt="image"></span><span lang="NL-BE">:</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image174.png" width= "123" height="117" alt="image"></span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">of vervang in de lineaire uitdrukking de buitenste ronde haken door vierkante haken</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image175.png" width= "506" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image176.png" width= "504" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">en creëer bv.</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image177.png" width= "230" height="117" alt="image"></span></p> <p style="TEXT-ALIGN: left; MARGIN-LEFT: 18pt" class="MsoNormal" align="left"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE">                                                                                                                                                 </span> <span style= "FONT-FAMILY: 'MS Mincho'; COLOR: red" lang="NL-BE">●</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Er is ook een gratis programma</span> <span class="Heading4Char"><span style= "LINE-HEIGHT: 115%; FONT-SIZE: 13pt" lang="NL-BE">Microsoft Mathematics 4.0</span></span> <span lang="NL-BE">downloadbaar via</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="EN-US"><a href= "http://www.microsoft.com/download/en/details.aspx?id=15702"><span lang="NL-BE"> http://www.microsoft.com/download/en/details.aspx?id=15702</span></a></span></p> <p class="MsoNormal"><span lang="NL-BE">of Nederlands</span></p> <p class="MsoNormal"><span lang="EN-US"><a href= "http://www.microsoft.com/downloads/nl-nl/details.aspx?FamilyID=9caca722-5235-401c-8d3f-9e242b794c3a"> <span lang= "NL-BE">http://www.microsoft.com/downloads/nl-nl/details.aspx?FamilyID=9caca722-5235-401c-8d3f-9e242b794c3a</span></a></span> <span lang="NL-BE">(versie 4.0, publicatiedatum 1-4-2011). Microsoft Wiskundehulp bevat een grafische rekenmachine waarmee je stap-voor-stap vergelijkingen kan oplossen, berekeningen maken en kan tekenen in 2D en 3D.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><img id="Picture 246" border="0" alt= "screen1.jpg" src="Word_2007_vgl_files/image178.jpg" width="595" height="478" name="Picture 246"></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 13" border="0" src= "Word_2007_vgl_files/image179.jpg" width="588" height="430" alt= "image" name="Picture 13"></p> <p style="TEXT-ALIGN: center; MARGIN-BOTTOM: 10pt" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Tahoma','sans-serif'; COLOR: black; FONT-SIZE: 8.5pt"> <img id="Picture 251" border="0" alt="screen3.jpg" src= "Word_2007_vgl_files/image180.jpg" width="236" height="618" name= "Picture 251"></span><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Tahoma','sans-serif'; COLOR: black; FONT-SIZE: 8.5pt" lang= "NL-BE">          </span> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Tahoma','sans-serif'; COLOR: black; FONT-SIZE: 8.5pt"> <img id="Picture 252" border="0" alt="screen4.jpg" src= "Word_2007_vgl_files/image181.jpg" width="235" height="619" name= "Picture 252"></span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Zowel de invoegtoepassing als het aparte programma “Math 4.0” werken enkel met de versie van de vergelijkingseditor zoals in Word 2007-2010. Met het programma Math 4.0 beschik je over meer mogelijkheden. Je kan zo o.a. stappen in een berekening tonen.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Voor bv.</span> <span style="FONT-FAMILY: 'Lucida Handwriting'" lang= "NL-BE">Voorbeeld Wiskundehulp 4</span> <span lang="NL-BE">bekom je, na het invoeren van</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image121.png" width= "111" height="22" alt="image"></span></p> <p class="MsoNormal"><span lang="EN-US">in Equation Solver</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 254" border="0" alt="screen6.jpg" src= "Word_2007_vgl_files/image182.jpg" width="440" height="400" name= "Picture 254"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">wat leidt tot</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 253" border="0" alt="screen5.jpg" src= "Word_2007_vgl_files/image183.jpg" width="410" height="310" name= "Picture 253"></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">De beide oplossingsstappen bekom je door het uitklappen van de opties in het werkblad.</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Bereken je met dit programma de integraal van</span><span lang="NL-BE"> </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 10.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image166.png" width="42" height="36" alt="image"></span><span style= "LINE-HEIGHT: 115%; FONT-SIZE: 14pt" lang="NL-BE"> </span> <span lang="NL-BE">naar x , dan bekom je als resultaat </span> <span style= "POSITION: relative; LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt; TOP: 5.5pt" lang="EN-US"><img src="Word_2007_vgl_files/image184.png" width="81" height="25" alt="image"></span><span lang="NL-BE">  (vergelijk dit met</span> <span style="FONT-FAMILY: 'Lucida Handwriting'" lang="NL-BE">Voorbeeld Wiskundehulp 9</span><span lang= "NL-BE">).</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="Voorbeeld"><span lang="NL-BE">Verder voorbeeld</span></p> <p class="MsoNormal"><span lang="NL-BE">Voor</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image185.png" width="96" height="30" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE"> geldt</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image186.png" width= "121" height="39" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">en</span></p> <p class="MsoNormal"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image187.png" width= "105" height="39" alt="image"></span></p> <p class="MsoNormal"><span lang="NL-BE">zodat het tekenschema</span></p> <p class="MsoNormal"><span lang="EN-US"> </span></p> <div align="center"> <table style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; BORDER-COLLAPSE: collapse; BORDER-TOP: medium none; BORDER-RIGHT: medium none" class="MsoTableGrid" border="1" cellspacing="0" cellpadding="0"> <tbody> <tr> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 51pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1.5pt solid; PADDING-TOP: 0cm" width="68"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><i><span lang="EN-US">x</span></i></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 2cm; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="76"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US"> </span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 1cm; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="38"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US">0</span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 2cm; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="76"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US"> </span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 37.35pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="50"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US">1</span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 2cm; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="76"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US"> </span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 51pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1.5pt solid; PADDING-TOP: 0cm" width="68"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image188.png" width="39" height="22" alt="image"></span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 2cm; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="76"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US">-</span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 1cm; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="38"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US">|</span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 2cm; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="76"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US">+</span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 37.35pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="50"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US">0</span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 2cm; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="76"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US">+</span></p> </td> </tr> <tr style="HEIGHT: 16.5pt"> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 51pt; PADDING-RIGHT: 5.4pt; HEIGHT: 16.5pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1.5pt solid; PADDING-TOP: 0cm" width="68"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image189.png" width="37" height="22" alt="image"></span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 2cm; PADDING-RIGHT: 5.4pt; HEIGHT: 16.5pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="76"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US">+</span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 1cm; PADDING-RIGHT: 5.4pt; HEIGHT: 16.5pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="38"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US">|</span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 2cm; PADDING-RIGHT: 5.4pt; HEIGHT: 16.5pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="76"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US">-</span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 37.35pt; PADDING-RIGHT: 5.4pt; HEIGHT: 16.5pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="50"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US">0</span></p> </td> <td style= "BORDER-BOTTOM: windowtext 1pt solid; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 2cm; PADDING-RIGHT: 5.4pt; HEIGHT: 16.5pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="76"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="EN-US">+</span></p> </td> </tr> <tr> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 51pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: windowtext 1.5pt solid; PADDING-TOP: 0cm" width="68"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image190.png" width="32" height="22" alt="image"></span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 2cm; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="76"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><b><span style= "FONT-FAMILY: 'Arial Unicode MS','sans-serif'" lang= "EN-US">➦</span></b></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 1cm; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="38"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="NL-BE">|</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 2cm; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="76"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'" lang="EN-US">⤷</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 37.35pt; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="50"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span lang="NL-BE">min</span></p> </td> <td style= "BORDER-BOTTOM: medium none; BORDER-LEFT: medium none; PADDING-BOTTOM: 0cm; PADDING-LEFT: 5.4pt; WIDTH: 2cm; PADDING-RIGHT: 5.4pt; BORDER-TOP: medium none; BORDER-RIGHT: medium none; PADDING-TOP: 0cm" width="76"> <p style="TEXT-ALIGN: center; LINE-HEIGHT: normal" class= "MsoNormal" align="center"><span style= "FONT-FAMILY: 'Cambria Math','serif'" lang="EN-US">⤴</span></p> </td> </tr> </tbody> </table> </div> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">leidt tot een grafiek van de vorm</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <img id="Picture 165" border="0" src= "Word_2007_vgl_files/image191.png" width="450" height="450" alt= "image" name="Picture 165"></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">De gekromde pijlen ontstaan als volgt via Unicode:</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="MARGIN-LEFT: 35.4pt" class="MsoNormal"><span lang= "NL-BE">2934 voor </span> <span style= "FONT-FAMILY: 'Cambria Math','serif'" lang= "EN-US">⤴</span><span style="FONT-FAMILY: 'Cambria Math','serif'" lang="NL-BE">, </span></p> <p style="MARGIN-LEFT: 35.4pt" class="MsoNormal"><span lang= "NL-BE">2935 voor </span> <span style= "FONT-FAMILY: 'Cambria Math','serif'" lang= "EN-US">⤵</span><span style="FONT-FAMILY: 'Cambria Math','serif'" lang="NL-BE">, </span></p> <p style="MARGIN-LEFT: 35.4pt" class="MsoNormal"><span lang= "NL-BE">2937 voor </span> <span style= "FONT-FAMILY: 'Cambria Math','serif'" lang="EN-US">⤷</span> <span style="FONT-FAMILY: 'Cambria Math','serif'" lang= "NL-BE">en</span></p> <p style="MARGIN-LEFT: 35.4pt" class="MsoNormal"><span lang= "NL-BE">21B1 voor </span> <span style= "FONT-FAMILY: 'Cambria Math','serif'" lang="NL-BE">↱ (of</span> <span style="FONT-FAMILY: 'Cambria Math','serif'" lang="NL-BE">27A6 in lettertype Arial Unicode MS voor</span> <span style= "FONT-FAMILY: 'Arial Unicode MS','sans-serif'" lang= "EN-US">➦</span> <span lang="NL-BE">). </span></p> <p style="MARGIN-LEFT: 70.8pt" class="MsoNormal"><span lang= "NL-BE">(2936 geeft </span> <span style= "FONT-FAMILY: 'Cambria Math','serif'" lang= "EN-US">⤶</span><span style="FONT-FAMILY: 'Cambria Math','serif'" lang="NL-BE">).</span></p> <p style="MARGIN-LEFT: 70.8pt" class="MsoNormal"><span style= "FONT-FAMILY: 'Cambria Math','serif'" lang= "NL-BE"> </span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Via de add-in kan je naast de grafiek van f ook de door jezelf berekende asymptoten plotten. Plaats daartoe de vergelijkingen van de betrokken grafische elementen in formulegebieden op aparte lijnen. Selecteer deze samen, rechtsklik en gebruik</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Graph > Plot in 2D:</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image192.png" width="67" height="30" alt="image"></span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image193.png" width="67" height="22" alt="image"></span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span style= "LINE-HEIGHT: 115%; FONT-FAMILY: 'Cambria','serif'; FONT-SIZE: 12pt" lang="EN-US"><img src="Word_2007_vgl_files/image194.png" width="39" height="22" alt="image"></span></p> <p class="MsoNormal"><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE"> </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red"><img id= "Picture 236" border="0" src="Word_2007_vgl_files/image195.png" width="450" height="450" alt="image" name= "Picture 236"></span><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE">       </span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <a name="_GoBack"></a><span style= "FONT-FAMILY: 'Cambria Math','serif'; COLOR: red" lang= "NL-BE">                                                                                                                                           </span> <span style= "FONT-FAMILY: 'MS Mincho'; COLOR: red" lang="NL-BE">●</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <h1><a name="_Toc307064753"><span lang="NL-BE">4. Lettertypes</span></a></h1> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Er zijn enkele</span> <span class= "Heading4Char"><span style="LINE-HEIGHT: 115%; FONT-SIZE: 13pt" lang="NL-BE">lettertypes</span></span> <span lang= "NL-BE">beschikbaar op het web ter vervanging van Cambria Math. Zo kan je de experimentele versies van de “free, open source” fonts</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">Asana-Math</span> <span lang="NL-BE">en</span> <span style="FONT-FAMILY: 'Calibri','sans-serif'" lang="NL-BE">XITS Math</span> <span lang="NL-BE">vinden op resp.</span> <span lang= "EN-US"><a href= "http://www.ctan.org/tex-archive/fonts/Asana-Math"><span lang= "NL-BE">http://www.ctan.org/tex-archive/fonts/Asana-Math</span></a></span> <span lang="NL-BE">en</span> <span lang="EN-US"><a href= "http://www.ctan.org/tex-archive/fonts/xits"><span lang= "NL-BE">http://www.ctan.org/tex-archive/fonts/xits</span></a></span> <span lang="NL-BE">(of</span> <span lang="EN-US"><a href= "https://github.com/khaledhosny/xits-math/downloads"><span lang= "NL-BE">https://github.com/khaledhosny/xits-math/downloads</span></a></span> <span lang="NL-BE">).</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Asana-Math is een Palatino-gelijkend OpenType font, waarin de meeste wiskundige Unicode symbolen beschikbaar zijn voor elke software die met de MATH OpenType tabel kan omgaan (zoals bv. Microsoft Word 2007).</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">XITS is een Times-achtig lettertype voor wiskundige en wetenschappelijke publicaties, gebaseerd op de STIX fonts (</span><span lang="EN-US"><a href= "http://www.stixfonts.org/"><span lang= "NL-BE">http://www.stixfonts.org/</span></a></span><span lang= "NL-BE">, [“Scientific and Technical Information eXchange”]).</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Het is in XITS mogelijk “slanted inequalities” te creëren via Unicode:</span></p> <p style="TEXT-ALIGN: center" class="MsoNormal" align="center"> <span lang="NL-BE">via 2A7D bekom je</span> <span style= "FONT-FAMILY: XITS" lang="NL-BE">⩽</span> <span lang="NL-BE">, en via 2A7E </span> <span style="FONT-FAMILY: XITS" lang= "NL-BE">⩾</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">(download vanaf</span> <span lang= "EN-US"><a href= "https://github.com/khaledhosny/xits-math/downloads"><span lang= "NL-BE">https://github.com/khaledhosny/xits-math/downloads</span></a></span> <span lang="NL-BE">of</span> <span lang="EN-US"><a href= "http://www.ctan.org/tex-archive/fonts/xits"><span lang= "NL-BE">http://www.ctan.org/tex-archive/fonts/xits</span></a></span>)<span lang="NL-BE">.</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Asana-Math laat dit ook toe, maar de alineahoogte is daar vrij groot.</span></p> <h1><a name="_Toc307064754"><span lang="NL-BE">5. De vergelijkingseditor in Office 2010</span></a></h1> <p class="MsoNormal"><span lang="NL-BE">Waar in Office 2007 de vergelijkingseditor enkel kon gebruikt worden in Word (en Outlook), is dit in Office 2010 uitgebreid tot Excel, Powerpoint en OneNote. In bv. Excel 2010 dien je wel een tekstvak in te voegen, waarbinnen de vergelijkingseditor kan gebruikt worden.</span></p> <h1><a name="_Toc307064755"><span lang="NL-BE">Meer informatie</span></a></h1> <p class="MsoNormal"><span lang="NL-BE">De vergelijkingseditor is tot op heden beperkt gedocumenteerd. Via de</span> <span class= "Heading4Char"><span style="LINE-HEIGHT: 115%; FONT-SIZE: 13pt" lang="NL-BE">helpfunctie</span></span> <span lang="NL-BE">in Office kan je</span> <span style="LINE-HEIGHT: 115%" lang="NL-BE">zoeken naar ‘equation’.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">In de</span> <span class= "Heading4Char"><span style="LINE-HEIGHT: 115%; FONT-SIZE: 13pt" lang="NL-BE">blog van Murray Sargent</span></span><span lang= "NL-BE">,</span> <span lang="EN-US"><a href= "http://blogs.msdn.com/b/murrays/"><span lang= "NL-BE">http://blogs.msdn.com/b/murrays/</span></a></span><span lang="NL-BE">, kan je informatie vinden over de doelstellingen en  historiek. Zie ook het interview/de video in </span> <span lang= "EN-US"><a href= "http://www.microsoft.com/presspass/features/2010/jun10/06-17mathinoffice.mspx"> <span lang= "NL-BE">http://www.microsoft.com/presspass/features/2010/jun10/06-17mathinoffice.mspx</span></a></span> <span lang="NL-BE">en bekijk de video op</span> <span lang= "EN-US"><a href="http://savas.me/blog/960"><span lang= "NL-BE">http://savas.me/blog/960</span></a></span> <span lang= "NL-BE">.</span></p> <p class="MsoNormal"><span lang="NL-BE"> </span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE">Het</span> <span class= "Heading4Char"><span style="LINE-HEIGHT: 115%; FONT-SIZE: 13pt" lang="NL-BE">lineaire formaat met formuleopbouw</span></span> <span lang="NL-BE">gebaseerd op Unicode wordt uitvoerig beschreven in</span> <span lang="EN-US"><a href= "http://www.unicode.org/notes/tn28/UTN28-PlainTextMath-v3.pdf"><span lang="NL-BE"> http://www.unicode.org/notes/tn28/UTN28-PlainTextMath-v3.pdf</span></a></span> <span lang="NL-BE">(voor Office 2010) . Dit is essentiële lectuur! De versie voor Word 2007 vind je in</span> <span lang= "EN-US"><a href= "http://www.unicode.org/notes/tn28/UTN28-PlainTextMath-v2.pdf"><span lang="NL-BE"> http://www.unicode.org/notes/tn28/UTN28-PlainTextMath-v2.pdf</span></a></span><span lang="NL-BE">.</span></p> <p style="TEXT-ALIGN: left" class="MsoNormal" align="left"> <span lang="NL-BE"> </span></p> <p class="MsoNormal"><span lang="NL-BE">Voor meer informatie over</span> <span class="Heading4Char"><span style= "LINE-HEIGHT: 115%; FONT-SIZE: 13pt" lang= "NL-BE">Unicode</span></span> <span lang="NL-BE">verwijzen we naar</span> <span lang="EN-US"><a href= "http://www.unicode.org/"><span lang= "NL-BE">http://www.unicode.org/</span></a></span> <span lang= "NL-BE">.</span></p> </div> <!-- And the content tree: --> <ul id="contentsTree" class="contentTree"> <li><a href="1.htm#NODO0">Inleiding</a></li> <li><a href="1.htm#_Toc307064738">1. Formules invoegen via het Lint</a> <ul> <li><a href="1.htm#_Toc307064739">Een nieuwe formule invoegen</a></li> <li><a href="1.htm#_Toc307064740">Contextueel hulpmiddel: het tabblad Design</a></li> <li><a href="1.htm#_Toc307064741">Lettertype voor formules</a></li> <li><a href="1.htm#_Toc307064742">De twee voorstellingswijzen (“modes”): “professioneel” en “lineair”</a></li> <li><a href="1.htm#_Toc307064743">“Weergave” (‘Display’) versus ‘Inline’ plaatsing</a></li> </ul> </li> <li><a href="1.htm#_Toc307064744">2. Wiskundige AutoCorrectie en Unicode: lineair een formule opbouwen</a> <ul> <li><a href="1.htm#_Toc307064745">Eigen autocorrectie items creëren</a></li> <li><a href="1.htm#_Toc307064746">Haken en spaties in een formulegebied</a> <ul> <li><a href="1.htm#_Toc307064747">Aantal spaties</a></li> <li><a href="1.htm#_Toc307064748">Begrenzende tekens (‘delimiters’)</a></li> <li><a href="1.htm#_Toc307064749">Aantal begrenzers (“haken”)</a></li> <li><a href="1.htm#_Toc307064750">Grootte van begrenzers</a></li> <li><a href="1.htm#_Toc307064751">Sub- en superscripten bij begrenzers</a></li> </ul> </li> </ul> </li> <li><a href="1.htm#NODO1">3. De Microsoft Mathematics add-in (invoegtoepassing “Microsoft Wiskundehulp”)</a></li> <li><a href="1.htm#_Toc307064753">4. Lettertypes</a></li> <li><a href="1.htm#_Toc307064754">5. De vergelijkingseditor in Office 2010</a></li> <li><a href="1.htm#_Toc307064755">Meer informatie</a></li> </ul>
