205 results about "Mathematical equations" patented technology

A method of modelling system behaviour of a physical system, the method including, in one or more electronic processing devices obtaining quantified system data measured for the physical system, the quantified system data being at least partially indicative of the system behaviour for at least a time period, forming at least one population of model units, each model unit including model parameters and at least part of a model, the model parameters being at least partially based on the quantified system data, each model including one or more mathematical equations for modelling system behaviour, for each model unit calculating at least one solution trajectory for at least part of the at least one time period; determining a fitness value based at least in part on the at least one solution trajectory; and, selecting a combination of model units using the fitness values of each model unit, the combination of model units representing a collective model that models the system behaviour.

A system and method are provided that include a health and wellness system that includes a network configured to provide one or more members of an organization access to the health and wellness system, a web server configured to provide a plurality of web pages over the network, and a plurality of wellness programs. A survey that has a plurality of health and wellness categories is delivered to the one or more members via the plurality of web pages. The one or more members provide a response to the survey that has a plurality of numerical scores for each of the plurality of health and wellness categories. Each of the plurality of wellness programs are configured to improve the health and wellness in at least one of the plurality of health and wellness categories for at least one of the one or more members. Each of the plurality of wellness programs have a predefined numerical equation for each of the plurality of health and wellness categories. One or more of the plurality of wellness programs are identified in a readable format via the plurality of web pages by comparing results from the predefined mathematical equations using the numerical scores as input.

A method for describing an invention comprising: a. defining a vocabulary of standard terms; b. describing the invention in a concise form and using only standard terms for the substantive description. The description may be in concise form uses mathematical equations or mathematical-like statements or tables. The description comprises, for an apparatus invention, the parts of the apparatus and the interrelationships therebetween, and for a method invention the steps of the invention and the order of execution of the steps.

The dual synthetic aperture array system processes returns from the receiving arrays. The two identical receiving arrays employing displaced phase center antenna techniques subtract the corresponding spectrally processed data to cancel clutter. It is further processed that a moving target is detected and its velocity, angular position and range is measured, in or out of the presence of clutter. There are many techniques presented in the disclosure. These techniques are basically independent but are related based on common set of fundamental set of mathematical equations, understanding of radar principles and the implementations involved. These many techniques may be employed singly and/or in combination depending on the application and accuracy required. They are supported by a system that includes, optimization of the number of apertures, pulse repetition frequencies, DPCA techniques to cancel clutter, adaptive techniques to cancel clutter, motion compensation, weighting function for clutter and target, and controlling the system in most optimum fashion to attain the objective of the disclosure.</PTEXT>

A method and a system for detecting cardiac arrhythmias that includes detecting RR intervals of the patient wherein each RR interval is an interval between two heart beats, and simulating standard probability density histograms of ΔRRs by means of a suitable probability distribution calculated through at least one mathematical formulae, wherein ΔRR is a difference between two successive RR intervals. Test probability density histograms of ΔRRs of the patient are constructed from the detected RR intervals. Finally, the standard and test histograms are compared to detect whether the patient suffers from cardiac arrhythmia. As non limiting examples, the standard probability density histograms of ΔRRs are modeled by a mathematical equation selected from the group consisting of: the Lorentzian distribution, the Gaussian distribution, the Student's t-distribution, and a probability distribution including a linear combination of the Lorentzian and Gaussian distribution.

The present invention is a method and system for continuously monitoring cardiac output. In a preferred embodiment, the method and system of the present invention comprises a pneumotachograph, differential pressure transducer, and a signal amplifier/conditioner interconnected to a programmed digital computer. A patient, preferably, inserts the pneumotachograph in his mouth or, alternatively, the pneumotachograph is connected to a patient's tracheal cannula. As the patient exhales and inhales the differential pressure transducer measures the drop in pressure as air flows through the pneumotachograph thereby producing a weak electrical signal non-linearly proportional to flow. Next, the weak signal is directed through the amplifier/signal conditioner which increases the amplitude and removes some of the noise contained in the transducer output. A digital computer is then utilized to convert the analog time varying electrical signal into a stream of digital data, store it on disk, display it in real time and processes the signal using an experimentally determined correlation factor and mathematical equations relating the fluctuations in air flow with stroke volume to obtain the cardiac output.

The invention relates to the technical field of PMSMs, solves a coupling problem during online identification of multiple parameters of a surface-mounted type PMSM, and achieves online decoupling identification of PMSM inductance, stator resistance and rotor flux linkage. Accordingly, the technical scheme adopted by the invention is that an online decoupling identification method of multiple parameters of the PMSM comprises the steps as follows: 1) identifying and coupling analysis of parameters of the PMSM; 2) a decoupling identification strategy, wherein voltage deviation before and after D shaft current injection is used for increasing the order of a motor mathematical equation, so that the decoupling identification of multiple parameters of the surface-mounted type PMSM inductance, the stator resistance and the rotor flux linkage are achieved; 3) neural network identifier design, wherein according to a parameter online identification problem of the PMSM, online identification is performed on motor parameters by adopting a self-adaptive neural network structure and a weight convergence algorithm based on a least mean square algorithm. The method is mainly applied to the design and manufacture of the PMSM.

Some embodiments provide a method for optimally decomposing patterns within particular spatial regions of interest on a particular layer of a design layout for a multi-exposure photolithographic process. Specifically, some embodiments model the spatial region using a mathematical equation in terms of two or more intensities. Some embodiments then optimize the model across a set of feasible intensities. The optimization yields a set of intensities such that the union of the patterns created/printed from each exposure intensity most closely approximates the patterns within the particular regions. Based on the set of intensities, some embodiments then determine a decomposition solution for the patterns that satisfies design constraints of a multi-exposure photolithographic printing process. In this manner, some embodiments achieve an optimal photolithographic printing of the particular regions of interest without performing geometric rule based decomposition.

A system and method for measuring the thickness of an ultra-thin multi-layer film on a substrate is disclosed. A physical model of an ultra-thin multilayer structure and Auger electron emission from the nano-multilayer structure is built. A mathematical model for the Auger Electron Spectroscopy (AES) measurement of the multilayer thin film thickness is derived according to the physical model. Auger electron spectroscopy (AES) is first performed on a series of calibration samples. The results are entered into the mathematical model to determine the parameters in the mathematical equation. The parameters may be calibrated by the correlation measurements of the alternate techniques. AES analysis is performed on the ultra-thin multi-layer film structure. The results are entered into the mathematical model and the thickness is calculated.

A method, named Juran Hydrocarbons Index (JHI), for measuring the overall competitiveness of an oil and gas facility (i.e. platform, pipeline, marine terminal, processing terminal, refinery, or LNG plant) that incorporates operational efficiency and effectiveness. The method describes a plurality of performance metrics that reflect measurable properties of an oil & gas organization. It further calculates the percentage deviation of these metrics relative to the corresponding industry or peer group average and assins weights of importance in the form of gap cofficients. Finally, it integrates all the individual performances into a mathematical equation to provide a numerical value (an index) of overall hydrocarbons competitiveness.

A temperature measurement device may be implemented by coupling a PN-junction, which may be comprised in a diode, to an analog-to-digital converter (ADC) that comprises an integrator. Different currents may be successively applied to the diode, resulting in different V_BE values across the diode. The ΔV_BE values thus obtained may be successively integrated. Appropriate values for the different currents may be determined based on a set of mathematical equations, each equation relating the V_BE value to the temperature of the diode, the current applied to the diode and parasitic series resistance associated with the diode. When the current sources with the appropriate values are sequentially applied to the diode and the resulting diode voltage differences are integrated by the integrator comprised in the ADC, the error in the temperature measurement caused by series resistance is canceled in the ADC, and an accurate temperature reading of the diode is obtained from the output of the ADC.

The invention discloses a method for implementing flexible combined overload control for an aircraft in a large airspace. A combined measured value of an inertial navigation linear accelerometer and an angular speed meter is adopted as a control value, the technical difficulty in realizing overload control of a non-minimum phase system is solved by means of reconstructing a mathematical equation, asymptotic stability of an attach angle and a sideslip angle in a whole flying journey is completely realized, and the method is applicable to flexible small-space non-planar flying control for supersonic aircrafts with large-space variable trajectories. The method for implementing combined overload control has the advantages of intuitive structure, simple design and capability of completely meeting engineering application requirements.

A programming editor and creator allows users with minimal knowledge of a computer language syntax to generate computer source code using a structured rather than freeform process. A predefined command sentence is provided representing at least a portion of a programming command, and includes words, which may be defined as constant or enterable words. Enterable words may be required or optional, and correspond to entry components. Each word may be defined according to word types, including list words, variable list words, variable words, mathematical words, condition words or Boolean words. Enterable words may include repeatable words which may be inserted multiple times within a command to create conditional statements, mathematical equations and string concatenations. Input values are provided for the entry components. The predefined command sentence with the input values is converted to a completed command sentence corresponding to the programming command, which is translated to a target programming language.

The invention relates to a joint estimation method of a state of charge (SOC) and a state of health (SOH) of a power battery system based on an electrochemical model. The method comprises the steps of establishing a pseudo two-dimensional electrochemical model correlation mathematical equation based on an electrochemical correlation theory, performing dimensionality reduction processing and calculation solution on a complicated partial differential equation by a finite analysis method and a numerical calculation method, allowing an open circuit potential of an electrode to be equivalent to open circuit voltage of a battery, establishing a capacity-surface SOC-EOCV three-dimensional response surface, extracting and establishing a degradation path graph of a battery performance degradation characteristic parameter by an intelligent optimization algorithm based on battery ageing test data, and finally realizing estimation of the SOH of the power battery based on the degradation path graph and realizing estimation of the SOC of the power battery based on concentration distribution and change rules of lithium ions in the battery.

The invention provides a finite state machine-based Boost circuit modeling method and application thereof. The modeling method is characterized by comprising the following steps: (1) determining the number of operational states; (2) determining conversion conditions among the operational states; (3) establishing a mathematical equation; (4) determining a matrix according to parameters; and (5) building a model. The modeling method has the advantages that the Boost circuit model built by using the finite state machine is very precise and is easy to analyze the control characteristics of a system, especially a plurality of complicated characteristics caused by the switching of a switch in a converter system. The Boost circuit has the advantages of small volume, simple structure, high conversion efficiency and so on.

A computer-implemented method for simulating blood flow through a heart valve may first involve receiving patient-specific data, including imaging data related to the heart valve, an inflow tract of the heart valve and an outflow tract of the heart valve, and at least one clinically measured flow parameter. Next, the method may involve generating a digital model of the heart valve and the inflow and outflow tracts, based at least partially on the imaging data, discretizing the model, applying boundary conditions to a portion of the digital model that contains the heart valve and the inflow and outflow tracts, and initializing and solving mathematical equations of blood flow through the model to generate computerized flow parameters. Finally, the method may involve comparing the computerized flow parameters with the at least one clinically measured flow parameter.

A method of identifying a flaw in a part is provided that includes vibrating a part to induce heat. The heat originates in any flaws in the part. A thermal image is obtained using, for example, an infrared camera. A mathematical representation of the thermophysics, such as the heat conduction or thermal energy equations using the boundary element method or finite element method is used to identify a source and an intensity of the heat identified with the thermal image. Using the source and intensity of the heat, flaw characteristics for the part can be determined. The method is employed using an inspection system that includes a vibration device for vibrating the part. An imaging device, such as an infrared camera, measures temperature on the surface of the part. An assumption is made or additional measurements are taken to obtain values for surface flux or surface heat transfer coefficients. A processor communicates with the imaging device for receiving the surface temperature. The processor includes computer memory having part characteristics and mathematical equations. The processor uses the measured surface temperature, assumed or measured heat flux or heat transfer coefficients, part characteristics and mathematical equations to determine the flaw characteristics in the part.