Abstract: The present invention provides a set of analog circuit modules and procedures for assembling them into circuits that represent fundamental expressions and operations in mathematics, and more specifically to circuits for performing computations on problems formulated as constraints in Set Theory. In this invention, physical analogues of mathematical sets are realized by the current flowing through electronic circuit devices, or by the voltage across such devices. A circuit assembled from set analogue devices appropriately connected together can generate analogues of the basic operations in Set Theory, such as intersection, union, complement, difference, subset, etc. Using these basic circuit modules, the analogues of arbitrarily complex expressions and operations can be obtained by combination. A complete circuit that is the analogue of Set Theory expressions defining the problem specification can be assembled by requiring the circuit and the Set Theory expressions to have the same topology.

Abstract: The present invention provides a set of analog circuit modules and a procedure for assembling them into a complete circuit that can be used for simulating dynamical systems, especially periodic, complex, or chaotic systems. The circuit is an electronic analogue of an idealized geometric model of a topological structure (called the attractor) commonly used for representing dynamical systems. Each circuit module consists of one or more electrical paths, each carrying a voltage or current representing one of the dynamical variables of the attractor such as the independent physical variable of the dynamical system, the density of trajectories at every point on the attractor, and the time. Different modules allow for electronic transformations that are the analogues of pieces of the model attractor: extensions, expansions, shifts, bends, twists, turns, splits, and merges.

Abstract: A method and system for distributing computer simulations in a network environment at zero bandwidth. The system comprises four networked computers: a Generator, Manager, Client, and Server. The Generator creates the simulations in the form of components and assembly instructions. The Manager stores, manages, and distributes the components and instructions, and also references to those simulations on the Server. In operation, the Client requests a document from the Server, examines it for previously known indicators, and triggers the re-assembly of the simulation on the Client using locally stored components. Zero bandwidth results from doing the computer-intensive work at run time entirely on the Client. The invention has the additional advantage of requiring zero modification to the Server.