Multiple synchronized views for creating, analyzing, editing, and using mathematical formulas

A system for constructing, analyzing, displaying, and editing a mathematical formula entered by a user for use in a software application, said system comprising:

• a processor, responsive to processor instructions which, when executed by said processor, are configured for constructing, analyzing, editing, parsing, and synchronizing a mathematical formula, and for causing display of two or more views of a mathematical formula to a display device;
• said processor instructions including a mathematical formula receiver, for receiving, from said user, a mathematical formula entered into said software application for use by said software application;
• said display device, viewable by said user, coupled to said mathematical formula receiver and to said software application, and responsive to said received mathematical formula entered into said software application by said user, for displaying an application-preferred view of said mathematical formula, and one or more additional views of said user mathematical formula, wherein at least one of said one or more additional views of said mathematical formula displays a hierarchical diagram graphically clarifying the structure of said mathematical formula;
• said processor instructions further including:
• a mathematical formula parser, responsive to said received mathematical formula entered into said software application by said user, for determining the structure of said entered mathematical formula;
• and
• a view synchronizer, responsive to said mathematical formula parser and responsive to user interactions with a user input device that affect the display of at least one of said application-preferred and one or more additional views of said formula, for synchronizing the display, on said display device, of at least one other of said application-preferred and one or more additional views of said mathematical formula.