Abstract: A mathematical sketching system enables a user to intuitively investigate the relationship between mathematical expressions and diagrams in a user-friendly manner. In one embodiment, a mathematical sketching system enables a user to input handwritten mathematical expressions and hand-drawn drawing elements, form associations between the mathematical expressions and the drawing elements, and view an animation of the drawing elements as their movements are displayed based on the mathematical expressions.

Abstract: In a system that enables a user to gesturally input electronic ink on an input surface, a method of inputting a gesture command distinguishable from other marks includes inputting gesture command sequences on an input surface. In some embodiments, the gesture sequence includes forming a terminal gesture mark to instruct the system to perform an action.

Abstract: A mitre box particularly adapted for precise mitring of inside and outside corner molding includes a square base having a first saw guide mounted on the upper surface thereof along a diagonal of the base. A second saw guide is also mounted on the base and is comprised of a pair of blocks located adjacent two edges of the square; the pair of blocks terminating adjacent a corner on the diagonal in line with the first guide. A rectangularly shaped support block is mounted on the base on either side of each of the guide blocks for supporting the molding to be mitred in proper orientation. The lower portions of the ends of the guide blocks adjacent the corner are cut away to allow the end of the molding being mitred to pass therethrough.