Abstract: The current document is directed to methods and systems for accessing, searching, analyzing, and visualizing electronically stored information, including electronic documents. These methods and systems construct graph-like representations of information searches that can be visualized and manipulated in three dimensions. The three-dimensional rendering of search results allows for very large numbers of search results to be visualized conveniently using a graphical user interface displayed on an electronic display device. Methods and systems provide for three-dimensional manipulation of graph-like renderings of search results, visualization-assisted searching, and a large number of research tools for discovering and storing various types of links, connections, and relationships between electronically stored information entities.

Abstract: The current document is directed to methods and systems for accessing, searching, analyzing, and visualizing electronically stored information, including electronic documents. These methods and systems construct graph-like representations of information searches that can be visualized and manipulated in three dimensions. The three-dimensional rendering of search results allows for very large numbers of search results to be visualized conveniently using a graphical user interface displayed on an electronic display device. Methods and systems provide for three-dimensional manipulation of graph-like renderings of search results, visualization-assisted searching, and a large number of research tools for discovering and storing various types of links, connections, and relationships between electronically stored information entities.

Abstract: Embodiments of the disclosed invention include optimization methods and systems that receive a mathematical description of a system, in symbolic form, that includes decision variables of various types, including real-number-valued, integer-valued, and Boolean-valued decision variables, and that may also include a variety of constraints on the values of the decision variables, including inequality and equality constraints. The objective function and constraints are incorporated into a global objective function. The global objective function is transformed into a system of differential equations in terms of continuous variables and parameters, so that polynomial-time methods for solving differential equations can be applied to calculate near-optimal solutions for the global objective function.

Abstract: A method and apparatus for quantum computing. A computer-program source code, data, and unsubstantiated output variables are converted into a class of computable functions by a program compiler. The computable functions are encoded, and a continualization method is applied to the encoded functions to determine a first-order, time-dependent, differential equation. Variational calculus is employed to construct a Lagrangian whose minimum geodesic is the solution for the first-order, time-dependent, differential equation. The Lagrangian is converted into a quantum, canonical, Hamiltonian operator which is realized as an excitation field via an excitation generator. The excitation field is repeatedly applied to a quantum processor consisting of a lattice of polymer nodes to generate an intensity-versus-vibrational-frequency spectrum of the lattice nodes.

Abstract: Embodiments of the present invention include forecasting methods and systems and methods and systems for responding to forecasts. In one embodiment of the present invention, financial market trends are automatically forecast, allowing for automatic generation of specific market-transaction recommendations. An automated trading program embodiment of the present invention includes a short-term price forecaster and a controller that makes transaction recommendations.

Abstract: Embodiments of the disclosed invention include optimization methods and systems that receive a mathematical description of a system, in symbolic form, that includes decision variables of various types, including real-number-valued, integer-valued, and Boolean-valued decision variables, and that may also include a variety of constraints on the values of the decision variables, including inequality and equality constraints. The objective function and constraints are incorporated into a global objective function. The global objective function is transformed into a system of differential equations in terms of continuous variables and parameters, so that polynomial-time methods for solving differential equations can be applied to calculate near-optimal solutions for the global objective function.

Abstract: Embodiments of the disclosed inventinn include optimization methods and systems that receive a mathematical description of a system, in symbolic form, that includes decision variables of various types, including real-number-valued, integer-valued, and Bloolean-valued decision variables, and that may also include a variety of constraints on the values of the decision variables, including inequality and equality constraints. The objective function and constraints are incorporated into a global objective function. The global objective function is transformed into a system of differential equations in terms of continuous variables and parameters, so that polynomial-time methods for solving differential equations can be applied to calculate near-optimal solutions for the global objective function.

Abstract: Methods and systems for finding optimal or near optimal solutions for generic optimization problems by an approach to minimizing functions over high-dimensional domains that mathematically model the optimization problems. Embodiments of the disclosed invention receive a mathematical description of a system, in symbolic form, that includes decision variables of various types, including real-number-valued, integer-valued, and Boolean-valued decision variables, and that may also include a variety of constraints on the values of the decision variables, including inequality and equality constraints. The objective function and constraints are incorporated into a global objective function. The global objective function is transformed into a system of differential equations in terms of continuous variables and parameters, so that polynomial-time methods for solving differential equations can be applied to calculate near-optimal solutions for the global objective function.

Abstract: Method and system for determining a near optimal schedule of resources in linear time by providing an optimal resource ordering scheme that increases customer satisfaction and resource satisfaction and lowers operating costs. The present invention is embodied in a scheduling computer program. The method receives a set of resources and associated resource data. The method determines a resource-rank-function value for each resource, based on the associated resource data. Based on the resource-rank-function value associated with each resource, each resource is rank ordered. For each resource, the method determines a set of candidate shifts, based on the associated resource data. The method determines a weight value for the candidate shifts associated with each resource. Based on the weight values associated with each candidate shift, the method determines a schedule of shifts, for each resource in rank order.

Abstract: A method and apparatus for quantum computing. A computer-program source code, data, and unsubstantiated output variables are converted into a class of computable functions by a program compiler. The computable functions are encoded, and a continualization method is applied to the encoded functions to determine a first-order, time-dependent, differential equation. Variational calculus is employed to construct a Lagrangian whose minimum geodesic is the solution for the first-order, time-dependent, differential equation. The Lagrangian is converted into a quantum, canonical, Hamiltonian operator which is realized as an excitation field via an excitation generator. The excitation field is repeatedly applied to a quantum processor consisting of a lattice of polymer nodes to generate an intensity-versus-vibrational-frequency spectrum of the lattice nodes.

Abstract: The present invention provides a method and system that produces a near-optimum schedule in linear time by providing an optimal resource ordering scheme. The present invention is embodied in a scheduling computer program.

Abstract: A Multiple-Agent Hybrid Control Architecture (MAHCA) uses agents to analyze design, and implement intelligent control of distributed processes. A single agent can be configured to control a local process and a network of agents can be configured to control more complex distributed processes. Multiple agents interact through messages and can be either permanent or temporary. The network of agents interact to create an emergent global behavior. The network of agents support construction of closed-loop, autonomous systems which react to comply with two degrees of freedom: (1) a logic degree of freedom (useful for implementing switching between modes of control) and (2) an evolution degree of freedom (useful for implementing particular modes of control). Global behavior is emergent from individual agent behaviors and is achieved without central control through the imposition of global constraints on the network of individual agent behaviors (the logic agent network).

Abstract: A Multiple-Agent Hybrid Control Architecture (MAHCA) uses agents to analyze design, and implement intelligent control of distributed processes. A network of agents can be configured to control more complex distributed processes. The network of agents interact to create an emergent global behavior. Global behavior is emergent from individual agent behaviors and is achieved without central control through the imposition of global constraints on the network of individual agent behaviors. Agent synchronization can be achieved by satisfaction of an interagent invariance principle. At each update time, the active plan of each of the agents in the network encodes equivalent behavior modulo a congruence relation determined by the knowledge clauses in each agents's knowledge base. The Control Loop and the Reactive Learning Loop of each agent can be implemented separately. This separation results in an implementation runs faster and with less memory requirements than an unseparated arrangement.