Abstract: This invention relates to an Extended Perception System that extends the perception of an object's surroundings. Three closely related primary sets of embodiments of this invention include: one set of embodiments is mounted on a set of one or more vehicles; a second set of embodiments is worn by a set of one or more persons and/or animals; and a third set of embodiments which can be in a location fixed with respect to terrestrial and/or other features. Improvements to head-mounted displays are disclosed.

Abstract: This invention relates to an Extended Perception System that extends the perception of an object's surroundings. Three closely related primary sets of embodiments of this invention include: one set of embodiments is mounted on a set of one or more vehicles; a second set of embodiments is worn by a set of one or more persons and/or animals; and a third set of embodiments which can be in a location fixed with respect to terrestrial and/or other features. Improvements to head-mounted displays are disclosed.

Abstract: This invention, the Equation Engine assists users to solve problems using equations. The Equation Engine helps users to select an equation from a local or remote database of equations, to collect values and units for the variables, and to solve for the unknown. The Equation Engine provides means for the user to solve problems by equating two equations. The Equation Engine provides means for a user to easily combine equations using equators. The Equation Engine provides one-button access to a tool for quickly solving the Quadratic Formula. The Equation Engine provides one-button access to a tool for quickly computing the mass for chemical species.

Abstract: This invention provides means to easily create, edit, and display documents that have very sophisticated capabilities. Every element, including for example, every pixel of every letter can edited by the most powerful and appropriate editor and can point to more information regarding that element. For example, spreadsheets in text documents have the full editing power of a native spreadsheet and text in spreadsheets to have the full editing power of word processing software and images in either to have access to the full image editing power of the best image editing software. Every element of a document such as text, numbers, images; video, etc. can invoke one or more form of Expanded Information, such as—a View, a Report, a document, website, etc. Expand Information includes educational materials on selected elements. The educational module also provides means to record, analyze and distribute the educational experiences of the user.