Math Editing And Display In Office 2007 : Math Editing And Display In Office 2007 Murray Sargent
Partner Software Design Engineer
Office Authoring Services
Microsoft Corporation
Overview : 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
Complex Project : 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
Eight Math Infrastructures : 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
Math Spacing : 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 + - . , :
Vagaries Of Math Notation : 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 ⋯
Math Input Methods : 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)
Autocorrect Examples : 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:
Formula Autobuildup : 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
Roles Of Space : 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
Font Math Tables : 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
Slide12 : Murray Sargent Partner SDE
Office Authoring Services
Conclusions : 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
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