340 results about "Simultaneous equations" patented technology

The present invention comprises an intelligent gaming system that includes a game engine, simulation engine, and, in certain embodiments, a static evaluator. Embodiments of the invention include an intelligent, poker playing slot machine that allows a user to play poker for money against one or more intelligent, simulated opponents. In one embodiment, the invention generates card playing strategies by analyzing the expected return to players of a game. In one embodiment, a multi-dimensional model is used to represent possible strategies that may be used by each player participating in a card game. Each axis (dimension) of the model represents a distribution of a player's possible hands. Points along a player's distribution axis divide each axis into a number of segments. Each segment has associated with it an action sequence to be undertaken by the player with hands that fall within the segment. The dividing points delineate dividing points between different action sequences. The model is divided into separate portions each corresponding to an outcome determined by the action sequences and hand strengths for each player applicable to the portion. An expected return expression is generated by multiplying the outcome for each portion by the size of the portion, and adding together the resulting products. The location of the dividing points that result in the maximum expected return is determined by taking partial derivatives of the expected return function with respect to each variable, and setting them equal to zero. The result is a set of simultaneous equations that are solved to obtain values for each dividing point. The values for the optimized dividing points define optimized card playing strategies.

A method of full-field or “ping-based” Doppler ultrasound imaging allows for detection of Doppler signals indicating moving reflectors at any point in an imaging field without the need to pre-define range gates. In various embodiments, such whole-field Doppler imaging methods may include transmitting a Doppler ping from a transmit aperture, receiving echoes of the Doppler ping with one or more separate receive apertures, detecting Doppler signals and determining the speed of moving reflectors. In some embodiments, the system also provides the ability to determine the direction of motion by solving a set of simultaneous equations based on echo data received by multiple receive apertures.

A design process first determines a desired aperture distribution, then converts the electric power conservation law, Snell's law on the rear face side of a dielectric lens, and the formula representing light-path-length constraint, into simultaneous equations, and computes the shapes of the surface and rear face of the dielectric lens depending on the azimuthal angle θ of a primary ray from the focal point of the dielectric lens to the rear face of the dielectric lens, and then reduces the light path length in the formula showing light-path-length constraint by an integral multiple of the wavelength when the coordinates on the surface of the dielectric lens reach a predetermined restriction thickness position. A dielectric lens is designed by sequentially changing the lazimuthal angle θ from its initial value, and also repeating the second and third steps. Thus, downsizing and quantification is realized by zoning while keeping antenna properties at the time of constituting a dielectric lens antenna in a good condition.

A deformable holder, system, and process where long range errors (any of lithography, metrology, or overlay errors) between the image of a mask and an existing pattern on a wafer from a number of potential sources are corrected. The long range errors are determined using either a through-the-lens alignment metrology system or an around-the-lens metrology system. Deformation values are determined to compensate for the longe range errors. The deformation values are determined by either solving simultaneous equations or by finite-element linear-stress-analysis (FEA). The mask or wafer is then distorted, in-plane, by an amount related to the determined deformation values using an actuator such an a piezoelectric ceramic to push or pull the mask or wafer to substantially realign the projected image of the mask and the existing pattern on the wafer.

A three-dimensional shape measuring apparatus includes a line laser light source (1) and an image capturing device (2). A three-dimensional shape measuring method and apparatus is characterized by irradiating a line laser beam to an object (3) to be measured from a laser projecting device, imaging points (6) irradiated with the laser beam by the image capturing device (2, detecting points on taken images as intersections (8), each of the points being detected from the taken images and being detected as a common point where line laser beams pass, deriving equations including the positions of the laser planes and the three-dimensional positions of the intersections as unknowns based on the detected intersections, determining the three-dimensional positions of the intersections and the positions of the laser planes by solving the derived equations as simultaneous equations, calculating by triangulation the three-dimensional positions of the points irradiated with the laser beams other than the intersections by using the positions of laser planes, and obtaining the three-dimensional shape of the object by repeating the series of processes.

The invention relates to the technical field of testing of material complex permittivity, in particular to a method for measuring material complex permittivity based on substrate integrated waveguide round resonant cavities. The method comprises the steps that firstly, the substrate integrated waveguide round resonant cavities with different resonant frequencies (work frequencies) are machined; secondly, for the substrate integrated waveguide round resonant cavities with the same resonant frequency, a sample with material identical to that of a dielectric layer 2, a standard sample with the known complex permittivity and a sample to be measured are respectively loaded, swept-frequency signals are fed respectively through a vector network analyzer, and the resonant frequencies and the quality factors of the three samples are tested; finally, simultaneous equations are established and solved, and then the complex permittivity of the sample to be measured at the work frequency of the corresponding substrate integrated waveguide round resonant cavity can be obtained. A multi-frequency-point clock test of the material complex permittivity can be completed in the mode that the substrate integrated waveguide round resonant cavities with other work frequencies are used and the same test process is repeated. The method for measuring material complex permittivity based on the substrate integrated waveguide round resonant cavities has the advantages that the sizes of the substrate integrated waveguide round resonant cavities are small, machining is convenient, and the precision of a measurement result is high.

An object of the present invention is to make it possible to adjust the amount of motion blur contained in a blurred image. A unit-of-processing determining portion 901 determines the unit of processing which is formed of pixel data located on a straight line. An equation generator 903 generates simultaneous equations consisting of a plurality of relational expressions based on the unit of processing. A calculator 904 generates foreground object components in which the amount of motion blur is adjusted by solving the simultaneous equations. The present invention can be applied to an image processing apparatus in which a difference between a signal detected by a sensor and the real world is taken into consideration.

A method and apparatus are provided for measuring a weak physiological signal in the presence of stronger signals. The method and apparatus utilize motion sensing devices placed on or about the patient to obtain a motion data set from each motion sensing device describing the aggregate detected motion. The data sets are synchronized and then used to solve a set of simultaneous equations which allows for the separation of the various motion components which may include such components of interest as fetal heart motion.

The invention relates to a multi-source indoor positioning device and method based on light intensity. The multi-source indoor positioning device comprises a light sensor, at least three point light sources, a data processing module and a memory module, wherein the light sensor is used for collecting light signal data sent by the point light sources; the memory module is used for storing light source coordinate values, the light signal data and a light intensity model; the data processing module is used for acquiring light intensity values, establishing a simultaneous equation at least containing three equations according to the light intensity model and the coordinate values of the point light sources, and solving the simultaneous equation to obtain coordinate values (x, y and z) of the light sensor, and the equations are established according to the light intensity model of si = fd (di) fmu (Mui) fomega (Omegai). According to the invention, visible light lamps or the infrared ray point light sources are adopted, a device at a receiving end of the light sensor is integrated to receive light signals and acquire light intensity values, and the coordinates of the sensor are calculated according to the light intensity model, without arranging any other high-precision auxiliary devices, so that the multi-source indoor positioning device and method have the advantages that the positioning accuracy is high and the cost is low.

The invention discloses a wind and photovoltaic complementary power generation system reliability evaluation method based on a Copula theory. The method comprises the following steps of: (1) determining the power probability distribution of a wind power station and a photovoltaic plant; (2) respectively performing integral operation on the power probability distribution fWT(P1) and fPV(P2) of thewind power station and the photovoltaic plant, and calculating the accumulative power probability distribution of the wind power station and the photovoltaic plant; (3) calculating Kendall rank correlation coefficients of the power of the wind power station and the photovoltaic plant; (4) calculating a correlation parameter theta of a Frank Copula function; (5) forming a simultaneous equation through a formula (2) and a formula (4) to obtain the joint probability density of the random variables P1 and P2; and (6) acquiring the accumulative probability distribution of the wind and photovoltaiccomplementary power station through integral operation according to a joint probability density function of the power of the wind power station and the photovoltaic plant, forming an off-the-line table of the power of the wind and photovoltaic complementary power station through the accumulative power, and establishing a reliability model of the wind and photovoltaic complementary power station. According to the method, the reliability of the wind and photovoltaic complementary power generation system can be accurately evaluated.

A method for determining the proper configuration of a fixator or other medical device to correct a given deformity by solving the simultaneous equations representing the kinematic chain for the device. One skilled in the art would appreciate that x-rays, clinical evaluations, or a combination of both may be used to determine the distal and proximal mounting characteristics, including the use of digital x-rays with images from an imaging device to reduce or eliminate the needs for a physician to take measurements. The technique can be expanded to other medical evaluations. Additionally, one skilled in the art would appreciate that the method of the present invention could be written as one or more sets of instructions stored on a computer-readable medium that could be executed by a computer.

A comprehensive evaluation method for the line loss level of a low-voltage transformer area comprises the steps as follows: equivalent resistance of distribution lines in the low-voltage transformer area is calculated respectively; the line loss rate and head end average load current of a low-voltage circuit are measured; a load curve characteristic coefficient and a three-phase unbalanced line loss correction coefficient are calculated respectively; the theoretic line loss rate in the low-voltage transformer area is calculated, and the measured line loss rate and the theoretic line loss rate are compared, so that the management line loss level in the low-voltage transformer area is judged; and the like, wherein the head end average load current, the load curve characteristic coefficient, the three-phase unbalanced line loss correction coefficient and the like are calculated along with a calculation method of the theoretic line loss of the to-be-calculated low-voltage transformer area after a simultaneous equation set is established. According to the method, the parameters and a management line loss evaluation threshold can be accurately calculated, and comprehensive evaluation of the line loss level of the low-voltage transformer area can be accurately completed further; and particularly, when electricity stealing and leakage conditions occur, the method can accurately judge the line loss level, and misjudgments are avoided.

Apparatus (20, 100) for assaying a target analyte in a localized tissue region (22) that may include the target and other analytes comprising: a light source (34, 104) that illuminates the region with light at each of a plurality of wavelengths at which light is absorbed and/or scattered by tissue in the region wherein light at a least one of the wavelengths is absorbed or scattered by the target analyte; a signal generator (40) that generates signals responsive to intensity of the light from the light source (34, 104) at different locations in the localized region (22); and a controller (32, 102) that: receives the generated signals; processes the signals to determine an extinction coefficient for light in the localized region at each wavelength; and determines the concentration of the target analyte responsive to a solution of a set of simultaneous equations having as unknown variables concentrations of a plurality of analytes in the region (22), one of which is the target analyte, wherein each equation in the set expresses a relationship between the extinction coefficient, the absorption coefficient and/or the reduced scattering coefficient for light at a different one of the plurality of wavelengths and at least one of the equations expresses a relationship between the extinction coefficient and the reduced scattering coefficient.

A method is provided for measuring D-Q impedance of a component of a polyphase power grid connected to a grid node, and evaluating the margin of stability at a node using Nyquist diagrams generated from the measured D-Q impedance data. A generator, coupled to the polyphase power grid, is controlled to induce suppressed-carrier stimulus current into the grid node. Circuitry measures response signals of suppressed-carrier form existing within a bus voltage at the grid node and a branch current of the component being measured. The method includes measuring complex voltage components of the response signals contained in the bus voltage and complex current components of the response signals contained in the branch current to form simultaneous equations that are resolved to determine the D-Q impedance parameters Zqq, Zqd, Zdq and Zdd of the measured component.

Embodiments of the present invention provide systems and methods for deriving a source signature for an array of seismic sources for marine seismic analysis, wherein the systems and methods include factors for determining the source signature taking into consideration both sea-surface and sea-floor reflections of signals produced by the seismic sources. In certain aspects, reflection coefficients of the sea-surface and the sea-floor and relative lengths of paths between a seismic source image and a detector are applied to a series of simultaneous equations that are solved using measurements of the pressure field produced by the array at a plurality of known locations to determine individual source signatures for each seismic source in the array and these individual source signatures may then be superposed to provide a source signature for the array that accounts for sea-floor reflections of outputs from the seismic sources.

A method and an apparatus for exactly and automatically adjusting the characteristics of a dielectric filter in a short time period. The characteristic parameters of a dielectric filter are measured, electric parameters of a designed equivalent circuit of the filter are calculated with the use of characteristic parameters, characteristic adjusting portions of the dielectric filter are adjusted, while at the same time, adjustment functions indicating the variation amounts of electric parameters with respect to adjusting amounts are calculated with the use of the electric parameters and the adjusting amounts which have been changed by the above adjustment. Then, in accordance with simultaneous equations involving adjustment functions, an adjusting amount is calculated with the use of a difference between a present electric parameter and a desired electric parameter, thereby effecting an adjustment which is for example 50%. By repeatedly conducting the above treatments, the characteristic parameters of the filter will be allowed to successively get closer to the desired values.

The invention relates to a strip steel section shape detecting and identifying method, belonging to the technical field of steel rolling quality control. The method comprises the following steps of: dividing a detector into three groups and fitting three intervals of the width of the strip steel into three polynomial approximation curve functions; enabling the three polynomial approximation curves to be in smooth and transition connection; establishing an initial constraint condition and simultaneous equation adding the constraint condition and calculating the polynomial approximation coefficient of the three polynomial approximation curve functions; and using the strip steel section shape curve described by the three approximation curve functions as the detection result to determine the needed feature parameter of the strip steel section. The method can obtain the actual thickness data of the strip steel at a plurality of measurement passages in real time, carries out necessary processing and identifying on the discrete thickness detection data at the passages to obtain the feature parameter of the strip steel section output to a plate-type front feedback control system to improve the plate-type quality of a cold rolling outlet.

The invention discloses an ultrasonic detection method of scale thickness in a pipeline. The method comprises the following steps of: utilizing double incidences of ultrasonic waves at different angles, establishing simultaneous equations on the basis of propagation velocities of the known ultrasonic wave on the pipe wall and in the filled fluid and the relationship between an incident angle and a refraction angle of the ultrasonic wave by measuring the penetration time of the ultrasonic waves in the pipeline filled with fluid during the double incidences, and further calculating the velocity and the thickness of a scale layer in the pipeline. With the method, the scale thickness can be measured under the condition that the scale characteristic is unknown, the working detection of the pipeline can be achieved, and the method has reliable accuracy and no destructive effect.