882 results about "Mathematics model" patented technology

In accordance with the invention, a system, method, and apparatus for analyzing advertisement-related data are presented, which may include receiving data related to an aspect of an advertisement and modeling the aspect of the advertisement with a mathematical model. The mathematical model may include a control-signal-related component, a control-signal-independent component, and an error component. Each component may be updated based on at least one of a control signal, the received data, and a previous state of at least one of the components. An updated model may be created based on the updated components. The system, method, and apparatus may also include predicting the aspect of the advertisement using the updated model. Exemplary aspects of and data related to the advertisement may include one or more of the following: a number of impressions, “clicks,” or “conversions” and/or the impression-to-conversion, impression-to-click, or click-to-conversion ratios.

The invention discloses a trajectory tracking sliding mode control method for a spraying mobile robot. The method comprises the following steps of: performing mechanism analysis on a mobile robot, and establishing a mobile robot kinematic model with non-integrity constraint; establishing a controlled object mathematical model of each branch controller of a wheeled mobile robot provided with a motor driving shaft disturbance term; identifying a traveling path by utilizing a computer vision system, and determining an expected motion track of each branch driving motor according to the kinematic model deduced in the previous step; detecting the rotating speed of the motor, calculating the actual motion angular velocity and actual motion angular acceleration of left and right driving motors of the mobile robot, and calculating the deviation and deviation derivative between the expected angular velocity and the actual angular velocity of each driving motor; establishing a sliding mode switching function which meets the speed control requirement of the driving motor; determining the sliding mode controller control quantity of the left and right driving motors of the mobile robot on the basis of the sliding mode surface function s; and respectively transmitting the control quantity of the motor of the mobile robot to the left and right driving motors.

The invention discloses a calibration method of a fish-eye lens imaging system applied to target detection, which comprises the step of mathematical modeling of the fish-eye lens imaging system based on an equidistant projection and the precise calibrations of the intrinsic parameters of the imaging system (including the central point O3(u,v) of an imaging surface), the distance L between the top section of the fish-eye lens and a theoretic refractive optical center plane, the radial distortion coefficient K of the fish-eye lens, an image element aspect scale factor i, the plane torsional angle gamma between a camera coordinate system and an imaging surface coordinate system, various parameter calibration methods and matched software. The method aims at the omnidirectional vision system based on the fish-eye lens, analyzes the optical structure and the imaging principle of the fish-eye lens and introduces deformation parameters so as to establish the physical model of the fish-eye lens imaging system and then deduce the mathematical model of the system. With an independently-developed calibration procedure, three-dimensional space information is obtained from a two-dimensional image and applied to the calibration of imaging system parameters. The method is applicable to the calibration of various fish-eye type panoramic lenses, is convenient and accurate and has strong practicability.

The invention relates to a construction method for allowing a shield to pass through an operated subway tunnel in a short distance under complex working conditions. The method comprises the following steps of: 1) analyzing a passing working condition mathematical model; 2) setting construction parameters; 3) establishing real-time monitoring in the passing period of the shield and monitoring of the tunnel and the surrounding environment; and 4) performing shield construction, namely performing construction parameter control, synchronous grouting and double-liquid grouting. By the method, the shield can successfully pass through the operated subway tunnel, and safe operation of a subway train is ensured.

The present invention relates generally to the field of information processing by digital computers and, more particularly, to the entry and processing of information by application programs, particularly spreadsheets. The present invention is an electronic mathematical model builder that comprises a memory for storage of data, a processor for defining addressable sets of cells stored in the memory with a unique identifier, for entering data into the cells and for processing data stored in the cells, a user interface with a display for displaying sets of cells in a work area and means for creating and positioning sets of cells in the work area and inputting data to be entered into the cells, and a function builder for building mathematical relations between cells, comprising fields for user specification of a desired function by mathematical operators and input variables of the function, and set of destination cells containing values of the function.

The invention relates to an AGV optimization scheduling method based on mixed particle swarm optimization. First of all, a mathematics model is abstracted from the work process of an AGV, and an object function of a scheduling scheme is determined, and secondly, the model is solved by use of the mixed particle swarm optimization based on a genetic algorithm, a stimulated annealing algorithm and ant colony optimization, and an optimization scheduling scheme is generated. According to the invention, a contrast analysis is made between the mixed particle swarm optimization and standard particle swarm optimization through examples, and the variation operation of the mixed optimization employs an ant colony optimization thinking mode, ensures intersection of individual best and group best in an intersection operation process, ensures the feasibility of the mixed particle swarm optimization and has the validity for solving large-scale scheduling tasks.

A pulse oximeter system comprises a data processor configured to perform a method that combines a sigma point Kalman filter (SPKF) or sequential Monte Carlo (SMC) algorithm with Bayesian statistics and a mathematical model comprising a cardiovascular model and a plethysmography model to remove contaminating noise and artifacts from the pulse oximeter sensor output and measure blood oxygen saturation, heart rate, left-ventricular stroke volume, aortic pressure and systemic pressures.

The invention relates to a method for cutter-axis vector fairing of complex curved surface five-axis numerical control machining based on kinematical constraints, which belongs to the field of precise and efficient processing of complex curved surface five-axis numerical control machining, and particularly relates to a method for cutter-axis vector fairing based on machine tool kinematical constraints in the process of complex curved surface five-axis numerical control machining. The method is characterized by establishing a machining tool swivel feeding shaft angle optimized mathematical model on the basis of determining a cutter-axis fairing adjustment interval on a processing track curve and determining a discrete point according to the cutter step length, carrying out optimization on the corresponding machining tool swivel feeding shaft angle of the discrete point, and determining a corresponding coordination calculation method of a cutter-axis vector; then calculating the rotation angle of the cutter-axis vector opposite to the curved surface normal vector corresponding to the discrete point; and finally, carrying out fitting on the acquired discrete processing track normal vector angle, thereby acquiring a cutter-axis vector function for fairing, and ensuring a rotation axis of a machine tool to be smooth in motion. The method provided by the invention realizes smooth motion of the rotation axis of a five-axis numerical control machine tool, is wide in application range, and effectively improves the processing quality of the complex curved surface.

Provided is a power distribution network intelligent soft switch operation optimization method with simultaneous consideration of switch motion. According to a power distribution system, connection relation of circuit parameters, load level and network topology, system operation voltage level and branch current restriction, distributed power supply connection position, type, capacity and parameters, intelligent soft switch connection position, capacity and parameters, load and distributed power supply operation characteristic prediction curves in an operation optimization cycle, a system reference voltage and a reference power initial value are input; a sequential optimization model of cooperation operation of a power distribution network connection switch and an intelligent soft switch is established; conic model conversion of an object function and non-linear constraints in the sequential optimization model of cooperation operation of the power distribution network connection switch and the intelligent soft switch is carried out according to a conic optimization standard form; linearization of the object function is carried out, the non-linear constraints are converted into linear constraints, second order cone constraints or rotary cone constraints, and solving of the obtained mathematic model is carried out through a CPLEX solver. The provided method avoids tedious iteration and a lot of tests.

The invention discloses a low-complexity quantum circuit simulation system, and belongs to the field of quantum computing. The low-complexity quantum circuit simulation system overcomes the technicalproblems in the prior art that the quantum circuit simulation storage space is too large and the calculation time is too long. The system comprises an input module, a storage module and an output module, the storage process of the storage module for data is as follows: (1) a mathematical model is established to represent the operation of a quantum state and quantum logic gate; (2) quantum bits aregrouped and the serial numbers of the quantum bits are rearranged; (3) degree reduction is conducted on a total operation matrix U0, and an output state is calculated. According to the system, a matrix element of a quantum state vector is directly operated by using an connotative inherent law of a quantum logic gate, at the same time, the method has expandability, in the future, a supercomputer can be used to simulate a quantum computer with more bits.

The invention relates to an automatic planning method of a steelmaking and continuous casting heat batch plan and a system thereof, belonging to the IT field and including the following steps: 1, data collection; 2, construction of model; 3, optimization solution; 4, outcome assessment; 5, human-computer interaction; 6, sending down for executing. All indexes of the heat batch plan result obtained by adopting mathematical model and optimization algorithm of the invention are superior to that of the heat batch plan result obtained by the existing on-site manual planning pattern, in addition, the planning time (about 5 minutes) of the automatic planning method of the invention is far shorter than the planning time (about 2-3 hours) of the manual planning pattern. Therefore, the automatic planning method of the invention improves the scientificity of the traditional manual planning pattern, enhances planning level and quality, solves the problem of low efficiency in the manual planning pattern, and provides a scientific method for planning the on-line heat batch plan on a computer integrated manufacturing system in a steel enterprise.

A lithium ion battery internal health feature extraction method based on an impedance spectrum, and relates to the new energy research field; an existing method uses an EIS to analyze and estimate a SOH, wherein the EIS is long in measuring time, and cannot realize online measurements; the lithium ion battery internal health feature extraction method comprises the following steps: building a lithium ion battery electrochemistry impedance spectrum mathematics model; fast measuring a lithium ion battery electrochemistry impedance spectrum, and obtaining the lithium ion battery electrochemistry impedance spectrum; using the lithium ion battery electrochemistry impedance spectrum mathematics model to identify the lithium ion battery electrochemistry impedance spectrum parameters respectively under high, medium and low frequency stages, thus obtaining the lithium ion battery model parameters; periodically measuring the electrochemistry impedance spectrum of the aged lithium ion battery, using the lithium ion battery electrochemistry impedance spectrum mathematics model to identify the lithium ion battery electrochemistry impedance spectrum parameters of the aged lithium ion battery, thus obtaining the model parameter changing rules in the lithium ion battery aging process, and serving as the features that evaluate the battery health states. The lithium ion battery internal health feature extraction method is used for evaluating the battery health states.

A lane recognition image processing apparatus can improve lane marking recognition performance by preventing false detection by addition of a condition without changing the basic principle of an one-dimensional image filter. A search area is set for each lane marking with respect to images stored in a image storage part through a window. A candidate point extraction part extracts candidate points of each lane marking from the search area thus set. A lane marking mathematical model equation is derived by approximating sets of extracted candidate points by a mathematical model equation. The candidate point extraction part includes a kernel size setting part, a filtering part that outputs, as a filtering result, the smaller of differences between the gray value of a pixel of interest and those of pixels forwardly and rearwardly apart a kernel size from the pixel of interest in a scanning direction, respectively, and a binarization part that binarizes the filtering result.

The invention discloses a strategy for optimizing short-term and ultra-short-term coordination rolling schedules on the basis of multiple time scales and an MPC hierarchical control theory after access of new energy resources is carried out. According to the strategy, a coordination rolling schedule general framework adapting to access of the new energy resources and based on the multiple time scales is determined; an MPC (model predictive control) method and a hierarchical control method used by the strategy are determined, the control methods include the concept of the MPC, an application model of the MPC under access of the new energy resources, and the study of the hierarchical control method are determined; based on the multiple time scales, the MPC method and the hierarchical control method, a short-term and ultra-short-term coordination rolling schedule MPC hierarchical control strategy adapting to access of the new energy resources is determined; a coordination rolling schedule MPC hierarchical optimizing model adapting to access of the new energy resources is studied and determined, wherein a rolling schedule optimal planning layer and a mathematical model correcting the planning layer in real time are mainly involved, and the model comprises objective functions, various constraint conditions and the like. Please see the specific steps in the attached abstract map. The strategy achieves the effect of the coordination rolling schedules after intermittent access of the new energy resources is carried out.

The invention discloses an anti-fraud and credit risk prediction method based on complex social networks; aiming at complex social relations between people, the method can integrate the relative relations, friend relations and colleague relations so as to build a mathematics model, thus identifying and predicting client fraud risks and credit risks according to the complex social networks; the method can improve the fraud recognition rate and credit risk prediction accuracy, and can display the complex social networks in visualization, thus helping people to deeply understand and parse complex networks.

The invention discloses a gasoline online blending method, wherein the method comprises: linear and nonlinear mathematic models based on real-time flow quantity and quality indicators of processed oil and constituent oils constituting the processed oil, an online real-time auto-correction method for gasoline blending mathematic models and a real-time optimization technique which is developed based on the mathematic model. By adopting the gasoline online blending method in the invention, the problems of low success rate of products produced by a traditional intermittent vessel type blending method, long blending time, high blending cost and more excess of quality can be solved, and an optimal blending formulation can be offered in real-time to satisfy a plurality of requirements related to quality and cost when the products of the constituent oils fluctuate, thus enhancing the benefit of an oil plant remarkably.

A mathematical model specifically for diabetes may be generated which may be continuous in time, in that there are no discrete time steps, and any event can occur at any times. The model may be generated using differential equations, object oriented programming, and features. The model may be used to simulate patients who have contracted or may contract type 1 or type 2 diabetes, which greatly improves the efficiency of treating patients and designing clinical trials.

An objective of the present invention is to provide an autonomous control method that autonomously controls a small unmanned helicopter toward target values, such as a set position and velocity, by deriving model formulas that are well suited for the autonomous control of small unmanned helicopters, by designing an autonomous control algorithm based on the model formulas, and by calculating the autonomous control algorithm. The autonomous control system for a small unmanned helicopter of the present invention comprises: sensors that detect the current position, the attitude angle, the altitude relative to the ground, and the absolute azimuth of the nose of the aforementioned small unmanned helicopter; a primary computational unit that calculates optimal control reference values for driving the servo motors that move five rudders on the helicopter from target position or velocity values that are set by the ground station and the aforementioned current position and attitude angle of the small unmanned helicopter that are detected by the aforementioned sensors; an autonomous control system equipped with a secondary computational unit that converts the data collected by said sensors and the computational results as numeric values that are output by said primary computational unit into pulse signals that can be accepted by the servo motors, such that these components are assembled into a small frame box, thereby achieving both size and weight reductions; a ground station host computer that can also be used as the aforementioned computational unit for the aforementioned autonomous control system; if the aforementioned ground station host computer is used as the aforementioned computational unit for the aforementioned autonomous control system, in the process of directing the computational results that are output from said ground station host computer to said servo motors through a manual operation transmitter, a radio control generator that converts said computational results as numerical values into pulse signals that said manual operation transmitter can accept; a servo pulse mixing/switching apparatus, on all said servo motors for said small unmanned helicopter, that permits the switching of manual operation signals and said control signals that are output from said autonomous control system or mixing thereof in any ratio; an autonomous control algorithm wherein the mathematical model for transfer function representation encompassing pitching operation input through pitch axis attitude angles in the tri-axis orientation control for said small unmanned helicopter is defined as $G_{\theta }\left(s\right)=e^{-\mathrm{Ls}}\frac{K_{\theta }{\omega }_{\mathrm{ns}}^2}{\left(s^2+2{}_s{\omega }_{ns}s+{\omega }_{ns}^2\right)\left(T_{\theta }s+1\right)s}$

wherein

• G_θ: parameter
• e^−Ls: dead time element
• K_θ: model gain
• T_θ: model gain
• ω_ns: natural frequency s: laplace operator
• ξ_s: damped ratio such that the aforementioned small unmanned helicopter is controlled autonomously based on the aforementioned mathematical model.

The invention provides a crude oil blending scheduling method for crude oil blending multi-period optimization, belonging to the technical field of various crude oil blending. The method is characterized in that the mathematic model of the problem is induced; aiming at the non-linear mixed integer programming model induced from the problem, satisfactory solution of the problem is obtained by a high-effect mixed solving strategy. The method of the invention has the advantages that (1) the proposal takes improving the stability of the blending crude oil property as a main object, and takes improving the expected yield of the products as an object at the same time, can reduce the effects of excessively large fluctuation of blending crude oil property on the stability of distillation devices and subsequent devices of the distillation devices, and increase the expected yield of the products to a certain degree; (2) an algorithm structure of solving discrete decision variables and continuous decision variables by layers is adopted, thus improving the problems that the algorithm has low efficiency and poor searching performance, etc. which are caused by that the two groups of variables are optimized at the same time.

The invention discloses a flowshop multi-target scheduling optimization method, solves the problems that an existing built flowshop multi-target production scheduling model is poor in reacting ability, and can change and adjust the production scheduling strategy at will according to the company production needs; the method comprises the following steps: facing at the flowshop, and building a workshop production operating time, production cost and workshop energy consumption multi-target mathematics model; using a normalizing weight method to optimize the workshop production scheduling; using a hierarchy analytical method to decide each index weight according to company needs, and using a heredity algorithm to carry out searching optimization iteration so as to obtain the scheduling optimization scheme.

The invention relates to a position-error real time compensation device of numerical control machine. The position-error real time compensation device that is machine- outside-coordinate-bias-based comprises a compute and process module, an acquisition and transmitter module of a temperature sensor and a numerical control interface control module. A processing system of the compute and process module collects temperature signals of numerical control machine while receiving signals of machine coordinate location from the numerical control system, entering the signals into a mathematical model of positional error that is previously set up to obtain compensation value and delivering the compensation value to the numerical control machine by an inter face of the numerical control system to complete the whole compensation process. The invention completes the compensation operation by design of the interface and software, which does not affect previous numerical control system and processor. The hardware is relatively simple and the software is flexible to modify with good commonality.

The invention discloses a multi-objective optimization-based unmanned vehicle motion planning method. A vehicle and an environment are mapped from a Cartesian coordinate system to a Frenet coordinatesystem. A mathematical model for an unmanned vehicle multi-objective path planning problem is established. Path planning is performed by using a linear dynamic planning method. A track is described byusing a piecewise quintic polynomial, and a mathematical model for an unmanned vehicle multi-objective track generation problem is established by using a minimum track slope, minimum curvature, comfortable riding experience, and a closest distance to a path obtained from linear dynamic planning respectively as optimization objectives, using a location of a piecewise quintic polynomial connectionpoint, a first order derivative, a second order derivative, and a third order derivative as equality constraints, and using a road natural boundary constraint and an obstacle boundary constraint as inequality constraints. An optimal solution of the unmanned vehicle multi-objective track generation problem is obtained. The invention solves a problem that a path obtained by using a random point scatter-based path planning method is difficult to meet a vehicle kinematics constraint.