371 results about "Analytical expressions" patented technology

A method for enabling intelligence at the edge. Features include: triggering by sensor data in a software layer hosted on either a gateway device or an embedded system. Software layer is connected to a local-area network. A repository of services, applications, and data processing engines is made accessible by the software layer. Matching the sensor data with semantic descriptions of occurrence of specific conditions through an expression language made available by the software layer. Automatic discovery of pattern events by continuously executing expressions. Intelligently composing services and applications across the gateway device and embedded systems across the network managed by the software layer for chaining applications and analytics expressions. Optimizing the layout of the applications and analytics based on resource availability. Monitoring the health of the software layer. Storing of raw sensor data or results of expressions in a local time-series database or cloud storage. Services and components can be containerized to ensure smooth running in any gateway environment.

Estimates of spectral magnitude and phase are obtained by an estimation process using spectral information from analysis filter banks such as the Modified Discrete Cosine Transform. The estimation process may be implemented by convolution-like operations with impulse responses. Portions of the impulse responses may be selected for use in the convolution-like operations to trade off between computational complexity and estimation accuracy. Mathematical derivations of analytical expressions for filter structures and impulse responses are disclosed.

The present invention provides a system and method for determining and maintaining a concentration level of medication in a patient sufficient to achieve and maintain a desired effect on that patient. Generally speaking, in accordance with one embodiment of the invention, a medication delivery controller uses a patient response profile to determine a concentration of medication in the patient that will achieve the desired effect on the patient. The patient response profile is a graphical, tabular or analytical expression of the relationship between the concentration of a medication and the effect of the medication at the specific concentration. Using this information, the medication delivery controller provides instructions to a medication delivery unit such as, for example, an infusion pump or inhalation device, to deliver the medication to the patient at a rate that will achieve the desired concentration level of the medication in the patient.

The invention discloses a life evaluation method for a modular multilevel converter (MMC). The life evaluation method comprises the following steps: reading year-round temperature data of a running natural environment of the MMC and power data input into the MMC; performing analytic calculation on the average value and the effective value of the current of sub-modules IGBT and Diode of the MMC; calculating the average loss power Ploss,T and Ploss,D of the sub-modules IGBT and Diode of the MMC within the fundamental frequency period; calculating the average temperature rise Tja of a semiconductor device within the working frequency period by use of a Forster network model to obtain the average junction temperature value Tj of IGBT modules (IGBT modules, IGBTs, including IGBT and Diode); modifying fitting calculation of loss of the IGBTs according to the average junction temperature of the IGBTs; calculating the extreme values of the function temperature within the working frequency and counting the year-round fundamental frequency junction temperature cycle; counting fluctuation information of the year-round low-frequency junction temperature; and calculating the failure number Nf of the fundamental frequency and the low frequency of the semi-conductor device by use of a Bayerer life model, and obtaining the life of the MMC in combination with operation conditions. The life evaluation method can reliably forecast the life of the MMC, can effectively improve the forecasting calculation speed through obtaining an analytical expression of both current and the junction temperature, and has the characteristics of project operational capability and the like.

The present invention discloses a decomposition method for a random quantum bit gate, and belongs to the field of the quantum state manipulating technology. The method includes: the bit gate U of a random quantum n is decomposed into a plurality of uninterrupted Cn (U) and the decomposition of a random quantum bit gate is achieved by adopting an index decomposition mode and a polynomial decomposition mode with circuit complexities of O (2n) and O (n2) respectively through the fundamental segment and the correcting segment of the structure and utilizing the mode of nested recursion. The present invention achieves that a random quantum bit gate is decomposed into a qubit index form and a polynomial form of complexities, gives the quantum circuit and the relevant analytical expression containing only two quantum bit CNOTs and a single quantum bit accurately, thereby achieving an arbitrary operation to a quantum state in the transmission process of the quantum state, figures out the number of a basic logic gate that the two decomposed forms need, uses a phaseshift approximate gate to replace the Toffolin gate and reduces the complexity of the circuit greatly.

The invention discloses a five-axis side milling machining process parameter design method, belongs to the technology of numerical control (NC) machining, and solves the problem that real machining conditions cannot be reflected in cutting force calculation in the conventional process parameter design method. The method comprises the following steps of: tool path planning, cutting force calculation and process parameter optimization; in the tool path planning step, an NC code is generated by using computer-aided manufacturing (CAM) software; in the cutting force calculation step, first, a continuous tool path is generated from the NC code; then, a cutting thickness is obtained; and finally, the cutting force is calculated according to the cutting thickness; and in the process parameter optimization step, whether the calculated cutting force is not greater than a design threshold is judged; if the calculated cutting force is not greater than the design threshold, the NC code, the cutting depth and a feed rate are taken as input parameters; and otherwise, an NC code is regenerated. In the method, the real machining conditions are reflected by utilizing a tool enveloping surface analytical expression and the obtained transient cutting thickness is more accurate, so that the accuracy of the calculation of the cutting thickness and the cutting force is improved, and reliable assurance is provided for precisely and efficiently machining a spatial curved surface.

The invention provides a satellite-machine combined frequency domain imaging method of Bistatic Synthetic Aperture Radar (Bistatic SAR), which utilizes characteristics of the SA-BSAR system to obtain the analytical expression of two-dimensional spectrum of the system, and then utilizes Omega-k algorithm thought to obtain SA-BSAR two-dimensional Stolt mapping relation according to the expression of the two-dimensional spectrum; finally, two-dimensional Stolt interpolation can be approximately achieved by using inverse scale Fourier transform and phase multiplication in frequency domain through studying the two-dimensional Stolt mapping relation, so as to complete the compensation for the two-dimensional space variance of the system; the method can avoid the problem of huge calculation and high complexity caused by two-dimensional Stolt interpolation, thereby effectively achieving SA-BSAR imaging with high resolution.

The present invention provides a method for determining the Frequency Response Function for a collection of tools in a CNC machine by taking four measurements (three of which are independent) on a single tool, held in the same or similar tool holder, spindle and CNC machine. The method uses inverse Receptance Coupling Substructure Analysis (RCSA) to obtain the receptances of the system, exclusive of the single tool. Standard (forward) RCSA is then used with these receptances and certain analytic expressions for the receptances of a freely supported tool to obtain the FRF for each tool in the collection of tools. This information can be used to predict stable, chatter-free depths of cut over a range of spindle speeds in CNC machining, identifying both the limiting depth of cut at any speed as well as special spindle speeds where unusually large, chatter-free depths of cut are available.

A method for automatically determining an avoidance maneuver in an automatic collision avoidance system of an aircraft. A maximum kinematic acceleration envelope is determined by determining a multitude of avoidance maneuver angle kinematic acceleration pairs in a kinematic acceleration plane, and interpolating gaps between points, thus creating a curve. The curve is called maximum kinematic acceleration envelope. The curve may also be approximated by an analytical expression. An adjusted kinematic acceleration envelope is formed in the plane by forming a new envelope. The new envelope at each point laying closer to or at the same distance from an origin as the points of the maximum kinematic acceleration envelope and such that there is only one value of the kinematic acceleration a for a given avoidance maneuver angle. An avoidance maneuver angle is received for which a suitable bank angle and a suitable normal load is to be determined. Determining The magnitude of the kinematic acceleration a corresponding to the adjusted kinematic acceleration envelope for the avoidance maneuver angle is determined by reading the envelope curve, or if the curve is an analytical expression, calculating the curve by using the analytical expression. The normal load is determined based on the kinematic acceleration, and the avoidance maneuver angle. The bank angle is determined based on the kinematic acceleration and the avoidance maneuver angle.

A method of operating a micromechanical scanning apparatus includes the steps of identifying a radius of curvature value for a micromechanical mirror and modifying a laser beam to compensate for the radius of curvature value. The identifying step includes the steps of measuring the far-field optical beam radius of a laser beam reflected from the micromechanical mirror. The measured far-field optical beam radius is then divided by a theoretical far-field optical beam radius reflected from an ideal mirror to yield a ratio value M. An analytical expression for M is curve-fitted to experimental data for M with the focal-length as a fitting parameter. The focal-length value determined by this procedure, resulting in a good fit between the analytical curve and the experimental data, is equal to half the radius of curvature of the micromechanical mirror. The micromechanical scanning apparatus is operated by controlling the oscillatory motion of a first micromechanical mirror with a first micromechanical spring and regulating the oscillatory motion of a second micromechanical mirror with a second micromechanical spring.

Provided is an analytical method based permanent magnet motor field analysis and torque calculation method. The method comprises the following steps of: step 1: establishing a magnetic vector potential mathematical model of a gap zone and a permanent magnet region; step 2: establishing a magnetic vector potential mathematical model of a slot area; step 3: calculating a cogging torque; and step 4: analyzing and comparing an analytical calculating result. The invention provides an analytical method based permanent magnet motor field analysis and torque calculation method. According to the structural features of a surface mounted radially magnetized permanent magnet motor model, the analytical model is divided into three sub-regions, namely a permanent magnet region, a gap zone and a slot area; a magnetic vector Laplace equation or a Poisson equation is established in each region; sub-region equations are connected through junction conditions, so as to obtain the analytical expression of a load air gap field and a slot field by using a direct analytical method.

A method for calculating long-range image contributions from mask polygons. An algorithm is introduced having application to Optical Proximity Correction in optical lithography. A finite integral for each sector of a polygon replaces an infinite integral. Integrating over two triangles, rather than integrating on the full sector, achieves a finite integral. An analytical approach is presented for a power law kernel to reduce the numerical integration of a sector to an analytical expression evaluation. The mask polygon is divided into regions to calculate interaction effects, such as intermediate-range and long-range effects, by truncating the mask instead of truncating the kernel function.

Mineral exploration needs a reliable method to distinguish between uneconomic mineral deposits and economic mineralization. A method and system includes a geophysical technique for subsurface material characterization, mineral exploration and mineral discrimination. The technique introduced in this invention detects induced polarization effects in electromagnetic data and uses remote geophysical observations to determine the parameters of an effective conductivity relaxation model using a composite analytical multi-phase model of the rock formations. The conductivity relaxation model and analytical model can be used to determine parameters related by analytical expressions to the physical characteristics of the microstructure of the rocks and minerals. These parameters are ultimately used for the discrimination of different components in underground formations, and in this way provide an ability to distinguish between uneconomic mineral deposits and zones of economic mineralization using geophysical remote sensing technology.

A query plan for executing a query within a relational database system including at least one non-relational data source is generated by analyzing expressions that reference a non-relational data source within a query for the database system via an interface for that non-relational data source, determining for each analyzed expression at least one of the database system and interface capable of processing that analyzed expression for executing the query, providing an indicator for each of the analyzed expressions that indicates at least one of the database system and interface determined to process that analyzed expression, and generating the query plan for execution of the query, via the database system, based on the indicators for the expressions of the query.

The present invention relates to the technical field of reservoir description in oil field development, in particular to a fracture-cavity inter-well communication passage and flow parameter characterization method. The method comprises the following steps of: (A) establishing an analytical expression of describing a fracture-cavity reservoir inter-well flow rule; (B) establishing a tracing production concentration curve fitting mathematical model; (C) performing curve fitting model solution; and according to principles of the three steps, compiling fracture-cavity reservoir tracing curve fitting software, performing fitting on a theoretical tracing curve and an actually measured tracing curve by a method of adjusting a parameter on a software interface, and simultaneously carrying out calculation to obtain mass mik, a flow velocity vik, an orifice area Aik and a flow duct length lik of a fracture-cavity injection tracer so as to implement characterization on a communication passage and a flow parameter. According to the present invention, an established model of describing the flow rule of the fracture-cavity reservoir tracer further accords with the true situations; quantitative calculation characterization on the fracture-cavity reservoir inter-well communication passage and the flow parameter is implemented; and in the fitting process, automatic fitting of a computer and parameter regulation of a worker are combined.

The invention discloses a double-terminal fault location method based on longitudinal impedance. The method comprises the following steps of (1) acquiring the equivalent line models of a dual power supply system in a faulty condition and in a normal running condition; (2) deriving the analytical expression of a fault distance d; (3) performing parameter calculation; and (4) making each parameter calculated in the step 3 substituted into the expression of the fault distance d for fault location. High tension transmission line faults can be accurately and rapidly located. Problems that a conventional double-terminal fault location method entails a complex calculation process; and the location result is affected by system impedance and line parameter changes and further obviously influenced by line lengths are effectively overcome.

The invention discloses a method and a system for planning an escape route for a spacecraft. The method comprises steps of: 1) constructing a Hamilton function and a terminal constraint function of differential game based on a near circle deviation equation; 2) solving a co-state equation of the differential game to obtain an evolutionary formula for co-state quantity analysis; 3) solving an optimal control equation of the differential game to obtain an analytical expression of optimal control quantity; 4) solving a cross-section condition of the differential game to obtain terminal values ofHamilton quantity and co-state quantity; 5) solving a nonlinear equation set iteratively to obtain a saddle point of the differential game; and 6) planning the escape route for the spacecraft according to the saddle point of the differential game. According to the method and the system for planning the escape route for the spacecraft, the saddle point of the differential game of chase and escape in the spacecraft can be quickly solved, and by an optimal control law of the chase and escape corresponding to the saddle point, space threat can be evaded and a game route can be planned for the spacecraft. Therefore, the method and the system have the advantages of being correct and reasonable in design, fast in calculation, good in applicability to actual tasks, and the like.

The invention relates to a method and device for judging the stability of grid-connected sub-synchronous oscillation of a double-fed induction generator. The method comprises the steps of setting positive sequence harmonic voltage and positive sequence harmonic current of a stator of the double-fed induction generator according to stator phase-a voltage, stator phase-a current and rotor phase-a current of the double-fed induction generator; determining an output voltage expression of a current regulation link according to the positive sequence harmonic voltage and the positive sequence harmonic current; establishing a stator-side impedance analytical expression of the double-fed induction generator according to the positive sequence harmonic voltage, the positive sequence harmonic currentand the output voltage expression so as to obtain double-fed induction generator-side impedance characteristics; building a grid-side impedance model so as to obtain grid-side impedance characteristics; establishing a characteristic function equation of the double-fed induction generator-side impedance characteristics and the grid-side impedance characteristics; and solving the characteristic function equation so as to quantitatively judge the oscillation frequency and damping level of the double-fed induction generator. The oscillation frequency and damping level of can be quantitatively judged according to the method and device.