| Class / Patent application number | Description | Number of patent applications / Date published |
|---|
| 708443000 | Differentiation | 9 |
| 20090083356 | FINITE DIFFERENCES METHODS - The application of finite differences methods to solve boundary value problems typically involves a discretization of such a problem across an orthogonal array of discrete grid points. This leads to an array of difference equations which is solved numerically within the constraints of the boundary conditions to yield solutions at the grid point locations. However, the accuracy of the solutions is limited with conventional finite differences methods when the boundary conditions are not represented exactly within the orthogonal array of discrete grid points, as when the boundary conditions are curved or slanted surfaces. The invention described herein provides finite differences methods for solving boundary value problems more accurately than with conventional finite differences methods, particularly when curved or slanted boundary surfaces correspond to terminations of a known analytical function. | 03-26-2009 |
| 20090132626 | METHOD AND SYSTEM FOR DETECTING DIFFERENCE BETWEEN PLURAL OBSERVED RESULTS - A method and system for analyzing time series data. In an embodiment, a loop is executed and terminated upon a specified maximum number of iterations of the loop being performed or upon a difference between scores in successive iterations of the loop not being greater than a specified tolerance, wherein the score in each iteration is calculated as function of an absolute value of a difference between respective cumulative probability values of first and second cumulative probability distributions which are generated from respectively first and second time series data sets. In an embodiment, time series data is processed in a sequence of time periods, wherein a combined cumulative probability distribution is generated in each time period by combining a cumulative probability distribution of new time series data with previously combined cumulative probability distribution data according to a ratio of the number of new to previous observed values. | 05-21-2009 |
| 20090265408 | METHODS AND APPARATUS FOR PERFORMING CALCULATIONS USING REDUCED-WIDTH DATA - Methods, apparatus, and articles of manufacture for performing calculations using reduced-width data are disclosed. In particular, an example method determines reduced-width data values associated with generating and evaluating functions. Some of the reduced-width data values are stored within instructions in an instruction memory during a compile phase and retrieved from instruction memory during a runtime phase. | 10-22-2009 |
| 20120047192 | NUMERICAL ANALYSIS DEVICE AND NUMERICAL ANALYSIS PROGRAM - A second derivative of a second-order differential equation is calculated at a reference variable value. The second derivative is multiplied by an analytical small variable value, the first derivative at the reference variable value is added, and a result is output as a first derivative after an increment of the analytical small variable value. The first derivative after an increment of the analytical small variable value is multiplied by the analytical small variable value, a physical value at the reference variable value is added, and a result is output as a physical value after an increment of the analytical small variable value. | 02-23-2012 |
| 20120226729 | POWER PLANT HAVING A CHEMICAL REACTION CYCLE - Disclosed is a method for measuring change in closed system, characterized in that, (the thesis): the partial differential equation the closed system ƒ(z) as a substitution or map onto a fixed point space such as closed band gap J, | 09-06-2012 |
| 20120259902 | DETERMINING LYAPUNOV EXPONENTS - Systems and methods for calculating the Lyapunov exponent of a chaotic system are described. In one particular embodiment, a Lyapunov exponent calculating method includes obtaining a value indicative of a condition of a chaotic system and assigning the value to first and second precision levels, the second precision level having a higher level of precision than the first precision level. The method also includes iterating the chaotic system over time and comparing the value at the first precision level with the value at the second precision level. From the comparison of values at the first and second precision levels, the method calculates the Lyapunov exponent for the chaotic system. | 10-11-2012 |
| 20120331027 | TRAJECTORY GENERATION SYSTEM AND TRAJECTORY GENERATION METHOD - A specified function p is generated to satisfy a first condition that an integral value of an evaluation function over a specified period is minimal. The evaluation function denotes a magnitude of an absolute value of a third order specified function p | 12-27-2012 |
| 20140046992 | PARALLELIZATION METHOD, SYSTEM, AND PROGRAM - A segment including a set of blocks necessary to calculate blocks having internal states and blocks having no outputs is extracted by tracing from blocks for use in calculating inputs into the blocks having internal states and from the blocks having no outputs in the reverse direction of dependence. To newly extract segments in which blocks contained in the extracted segments are removed, a set of nodes to be temporarily removed is determined on the basis of parallelism. Segments executable independently of other segments are extracted by tracing from nodes whose child nodes are lost by removal of the nodes in the upstream direction. Segments are divided into upstream segments representing the newly extracted segments and downstream segments representing nodes temporarily removed. Upstream and downstream segments are merged so as to reduce overlapping blocks between segments such that the number of segments is reduced to the number of parallel executions. | 02-13-2014 |
| 20140297707 | INFORMATION PROCESSING APPARATUS, INFORMATION PROCESSING METHOD AND STORAGE MEDIUM - There is provided an information processing apparatus. A multidimensional input vector is input. For each dimension of the input vector, a function value of a single-variable function with an element of the dimension as a variable is derived, by referring to a lookup table indicating a correspondence between a variable and a function value of the single-variable function. A product of the single-variable functions approximates a function value of a multiple-variable function. For each dimension of the input vector, a product of the function value derived by the derivation unit and a predetermined coefficient corresponding to the dimension is calculated. A value calculated using the total of the products calculated by the product calculation unit for each dimension of the input vector is output as a classification index indicating a class of the input vector. | 10-02-2014 |
