Microsoft Technology Licensing, LLC

Said Abou-Hallawa

Ethan Joseph Bernstein

Jennifer P Michelstein

Malia Morioka Douglas

Caitlin E Ashley-Rollman

Andrew M Himberger

Peter Frem

Murray Sargent

Susan Baker

Murray Sargent, Iii

Isao Yamauchi

Techniques for the automatic animation of document content are described. An apparatus may comprise a difference component operative to receive an old layout of a document and a new layout of the document, the new layout corresponding to an application of one or more changes to the old layout of the document, the difference component operative to determine a set of differences between the old layout and the new layout, and an animation layer generation component operative to generate a set of animation layers from the set of differences. Other embodiments are described and claimed.

Techniques for the automatic animation of changes to document content

Systems and methods for manipulating mathematical expressions in a computer system. A system can include a builddown module programmed to builddown a mathematical expression from a two-dimensional format to a linear format, the builddown module being programmed to associate a special property of the two-dimensional format of the mathematical expression with a corresponding character of the linear format of the mathematical expression. A method can include receiving a request to builddown the mathematical expression from a two-dimensional format to a linear format, building down the mathematical expression to the linear format, and associating a special property of the two-dimensional format of the mathematical expression with a corresponding character of the linear format of the mathematical expression.

Mathematical expression buildup and builddown

Systems and methods for automatically building up an equation entered into a computer system can include an input module that accepts input of the equation in a linear string format, and an interpret module that interprets the input and automatically determines when a buildup point is reached. Systems can further include a formatting module that, upon reaching the buildup point, automatically formats at least a portion of the equation into a two-dimensional format. A display module can display the portion of the equation in the two-dimensional format. A revision module allows the equation to be edited.

Systems and methods for automated equation buildup

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Redmond, WA, United States of America

Said Abou-Hallawa