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

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

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

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

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 + - . , :

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 ⋯

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)

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

Type delta and get δ , Delta and get Δ

Define quadratic to be

x = (-b ± √(b^2 - 4ac))/2a

Then typing quadratic<space> inserts:

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

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

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

Murray Sargent Partner SDE Office Authoring Services

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

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