1. Math Editing And Display In Office 2007 Murray Sargent Partner Software Design Engineer Office Authoring Services Microsoft Corporation Murray Sargent Partner Software Design Engineer Office Authoring Services Microsoft Corporation

2. Overview 8 math infrastructures inside and outside of Microsoft enable better math display/editing New math edit/display environment Interoperate with popular mathematics programs such as Mathematica, MathCad and Matlab Incorporate into Office apps, Encarta calculator, eventually IE 8 math infrastructures inside and outside of Microsoft enable better math display/editing New math edit/display environment Interoperate with popular mathematics programs such as Mathematica, MathCad and Matlab Incorporate into Office apps, Encarta calculator, eventually IE

3. Complex Project Intricacies of math typesetting Creating/using myriad glyph variants Vagaries of math notation Embedding math zones into international text environments Interaction with complex scripts Math in other objects like links, ruby Input with nonASCII keyboards Intricacies of math typesetting Creating/using myriad glyph variants Vagaries of math notation Embedding math zones into international text environments Interaction with complex scripts Math in other objects like links, ruby Input with nonASCII keyboards

4. Eight Math Infrastructures [La]TeX: Current tech-doc standards Unicode: Includes ~2000 math symbols MathML 2.0: Math K – 12 and beyond OpenType font technology: Special math tables New math font (Cambria Math) Math layout handler Shared math input components MS Office environment, autocorrect [La]TeX: Current tech-doc standards Unicode: Includes ~2000 math symbols MathML 2.0: Math K – 12 and beyond OpenType font technology: Special math tables New math font (Cambria Math) Math layout handler Shared math input components MS Office environment, autocorrect

5. Math Spacing Operators have math spacing given by extended TeX spacing rules Function object gives correct spacing for math functions n-aryand object gives correct spacing for n-ary expressions Automate much TeX “tweaking” Handle context-dependent spacing of operators like + -., : Operators have math spacing given by extended TeX spacing rules Function object gives correct spacing for math functions n-aryand object gives correct spacing for n-ary expressions Automate much TeX “tweaking” Handle context-dependent spacing of operators like + -., :

6. Vagaries Of Math Notation Choice of subscript/superscript base Function arguments like Integrands and n-aryands Absolute value ambiguities like ||a|-|b||. Actually this example is unambiguous, but |a|b - c|d| has two possible meanings Context sensitive ellipses: … vs ⋯ Choice of subscript/superscript base Function arguments like Integrands and n-aryands Absolute value ambiguities like ||a|-|b||. Actually this example is unambiguous, but |a|b - c|d| has two possible meanings Context sensitive ellipses: … vs ⋯

7. Math Input Methods Linear format input and manual buildup Formula autobuildup (FAB) Math ribbons Recognition of handwritten formulae Hex code input WYSIWYG editing Hybrid editing (combination of WYSIWYG and FAB) Linear format input and manual buildup Formula autobuildup (FAB) Math ribbons Recognition of handwritten formulae Hex code input WYSIWYG editing Hybrid editing (combination of WYSIWYG and FAB)

8. Autocorrect Examples Type \delta and get δ, \Delta and get Δ Define \quadratic to be x = (-b ± √(b^2 - 4ac))/2a Then typing \quadratic inserts:

9. Formula Autobuildup User types formulas in linear format in a math zone Expressions are built up as soon as they’re syntactically unambiguous Expressions can be edited in built-up form or in linear form User types formulas in linear format in a math zone Expressions are built up as soon as they’re syntactically unambiguous Expressions can be edited in built-up form or in linear form

10. Roles Of Space Spaces are rarely needed inside math formulae, since spacing is automatic Use to terminate autocorrect entries and expressions Use as command to build up math objects A space builds up one subexpression; other operators build up as many as they can Spaces are rarely needed inside math formulae, since spacing is automatic Use to terminate autocorrect entries and expressions Use as command to build up math objects A space builds up one subexpression; other operators build up as many as they can

11. Font Math Tables Specialized math tables have been created to control glyph placements Position subscripts/superscripts horizontally using cut-ins and italic corrections Many math constants: axis height, fraction rule thickness, etc. Compare kerning of The math tables are formalized as OpenType tables Specialized math tables have been created to control glyph placements Position subscripts/superscripts horizontally using cut-ins and italic corrections Many math constants: axis height, fraction rule thickness, etc. Compare kerning of The math tables are formalized as OpenType tables

12. Murray Sargent Partner SDE Office Authoring Services Murray Sargent Partner SDE Office Authoring Services

13. Conclusions Eight infrastructures allow better math display and editing than ever before High quality math handler and font enable typography competitive with or better than TeX Methods such as Formula Autobuildup Incorporated into Word 2007, Math graphing calculator Plan to add to PPT, Excel. Hope to add to IE, …, and maybe future compilers Eight infrastructures allow better math display and editing than ever before High quality math handler and font enable typography competitive with or better than TeX Methods such as Formula Autobuildup Incorporated into Word 2007, Math graphing calculator Plan to add to PPT, Excel. Hope to add to IE, …, and maybe future compilers

14. © 2006 Microsoft Corporation. All rights reserved. Microsoft, Windows, Windows Vista and other product names are or may be registered trademarks and/or trademarks in the U.S. and/or other countries. The information herein is for informational purposes only and represents the current view of Microsoft Corporation as of the date of this presentation. Because Microsoft must respond to changing market conditions, it should not be interpreted to be a commitment on the part of Microsoft, and Microsoft cannot guarantee the accuracy of any information provided after the date of this presentation. MICROSOFT MAKES NO WARRANTIES, EXPRESS, IMPLIED OR STATUTORY, AS TO THE INFORMATION IN THIS PRESENTATION.