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85 results about "First order derivative" patented technology

What is the meaning of First Order Derivative. Quick Overview. The first derivative primarily tells us about the direction the function is going. That is, it tells us if the function is increasing or decreasing.

System and method for measuring opening and closing states of electromagnetic valve

The invention discloses a system and method for measuring the opening and closing state of an electromagnetic valve, and relates to the technical field of electromagnetic valves.The method comprises the steps that after an electromagnetic valve control signal is triggered, dynamic inductance L at each moment t is obtained through real-time backstepping by means of a voltage and current sampling module integrated in a driving loop and an inductance analysis module in a local microcontroller MCU; gaussian filtering processing and derivative calculation are carried out on the dynamic inductance L in the edge calculation module, first-order derivative and second-order derivative characteristics are extracted, and an inductance mutation factor index Cimp is obtained through calculation. According to the method, clamping stagnation, rebound and discontinuous abnormal states occurring in the opening and closing process of the electromagnetic valve are comprehensively reflected, a sudden change threshold value Cthr is set and compared, and a set of dynamic opening and closing behavior diagnosis mechanism with high resolution and high adaptability is constructed. According to the method, high-frequency dynamic response extraction and abnormal trend quantification can be completed within 100 ms after the control signal is triggered, and the method has higher early warning capability and non-intrusive compatibility.
Owner:SHANGHAI QIAOHENG IND CO LTD

Multi-agent and multi-mode alignment interaction method and system for review scene

PendingCN121765473ASolve the problem of inability to reach consensus when inconsistent inputSolve the problem of inability to reach consensusBiological modelsInference methodsAlgorithmTheoretical computer science
The invention relates to the technical field of multi-agent systems, and discloses a multi-agent and multi-mode alignment interaction method and system for a review scene, and the method comprises the steps: mapping real-time multi-mode data into a local belief vector through a heterogeneous agent cluster, and calculating the spatial divergence to determine a global cognitive entropy; interaction time sequence gating logic based on entropy flow differential is established, and active alignment is triggered when the global cognitive entropy is larger than a convergence threshold value and a first-order derivative is smaller than a damping threshold value; according to the method, through entropy flow differential control and an active semantic disturbance closed loop, decision oscillation of the multi-agent system in the non-cooperative environment is eliminated, and the reliability of the multi-agent system in the non-cooperative environment is improved. Mathematical convergence of the belief state in an adversarial disguise scene is realized, and the system identification precision in a complex interactive game is improved.
Owner:SHANGHAI SECOND POLYTECHNIC UNIVERSITY +1

Non-linear system tracking control method with segmented discontinuous output constraint

The invention provides a nonlinear system tracking control method with segmented discontinuous output constraints, and aims to solve the problem that a constraint boundary function is discontinuous but bounded at a certain moment within a period of time when a system starts to run and solve the problem that system output is not limited by constraints at a certain moment. Different from most existing methods requiring consecutive and bounded constrained boundary functions and high-order derivatives thereof, the method provided by the invention only needs consecutive and bounded converted constrained boundary functions and first-order derivatives thereof, so that the requirements on the constrained boundary functions are relaxed, the practicability of a control strategy is greatly improved, and the complexity and calculation burden of a controller are reduced. Besides, by changing discontinuous moments without changing the structure and design parameters of the controller, the proposed control strategy can also be suitable for other constraint situations, such as continuous constraint conditions, discontinuous constraint conditions at specific moments and unconstrained limitation of system output at a certain moment, so that the practicability of the control strategy is further enhanced.
Owner:CHINA UNIV OF MINING & TECH

Multi-order sub-template nonlinear weighted interpolation method for six-order precision adaptive smooth scale separation

The invention discloses a multi-order sub-template nonlinear weighted interpolation method for six-order precision adaptive smooth scale separation, and relates to the field of nonlinear weighting of a high-order precision finite difference format.The method comprises the steps that four multi-order sub-templates are obtained, and the four multi-order sub-templates comprise three third-order precision sub-templates and a six-order precision sub-template; respectively calculating to obtain smoothness measurement factors of the four multi-order sub-templates; constructing and obtaining a smooth scale separator based on the smooth measurement factor; performing discrete calculation based on the six template points to obtain a first-order derivative, a second-order derivative, a third-order derivative and a fourth-order derivative of the physical quantity at the half node; constructing an adaptive scale recognizer based on the first-order derivative, the second-order derivative, the third-order derivative and the fourth-order derivative of the physical quantity at the half node; the self-adaptive scale recognizer is used as a judgment condition of the smooth scale separator, and weighting coefficients of the four multi-order sub-templates are obtained through calculation; carrying out weighted calculation on the four multi-order sub-templates based on the weighting coefficients of the four multi-order sub-templates to obtain a physical quantity value of a solution interface; according to the method, the problem that a calculation result is possibly inaccurate due to the fact that high-order precision interpolation calculation cannot be achieved in a smooth area in nonlinear weighted interpolation when a multi-order sub-template is adopted in high-order format construction can be solved, and then the precision of turbulence numerical simulation is guaranteed.
Owner:CALCULATION AERODYNAMICS INST CHINA AERODYNAMICS RES & DEV CENT

Method and device for processing and analyzing pressure sensing data

A pressure sensing data processing and analyzing method and device, the method comprising: acquiring pressure sensing data, the pressure sensing data comprising varying pressure values and corresponding time; performing smoothing preprocessing on the pressure sensing data to obtain the smoothed pressure sensing data; calculating the smoothed pressure sensing data, and estimating a first-order derivative and a second-order derivative of a pressure change curve of the smoothed pressure sensing data at each time point; and performing analysis according to the pressure change data and the first-order derivative and the second-order derivative at each time point, and marking a plurality of feature points in the pressure change curve. According to the method, the feature points in the pressure change curve at different moments can be judged through a rapid and accurate analysis method, and the method can be applied to processing and analysis of pressure sensing data in membrane separation and membrane processing technologies.
Owner:XIAMEN UNIV +1

Acid-base reagent constant-current supply system and testing method

The invention discloses an acid-base reagent constant-current supply system and a test method, and relates to the technical field of acid-base reagent constant-current test.The method comprises the steps that before titration is started, initialization setting is conducted on a multi-channel pumping system, and a pressure sensor and a flow meter are started to collect real-time supply state data of all channels; based on the collected pressure measurement value and flow data, a dynamic PI D feedback control algorithm is adopted to adjust pump output so as to maintain constant flow speed output of the acid-base reagent under different load conditions; on the basis of stable supply of an acid-base reagent, continuously collecting a pH value change signal in the titration process by using a pH sensor, identifying a first derivative and a second derivative of a titration reaction based on a time sequence analysis method, and judging a titration inflection point moment when the second derivative exceeds a preset threshold value; and based on the identified first-order derivative and the identified second-order derivative, calling a fuzzy rule base to judge the grade of the titration rate which needs to be adopted at present, and realizing nonlinear self-adaptive adjustment of the titration rate.
Owner:INST OF URBAN SAFETY & ENVIRONMENTAL SCI BEIJING ACAD OF SCI & TECH

Method for measuring sodium alginate content and M / G ratio

The invention discloses a method for measuring the content of sodium alginate and the M / G ratio, belongs to the technical field of quantitative analysis of sodium alginate, and solves the technical problems of complex detection method operation, long reaction time, high cost and large detection result error of the method for measuring the content of sodium alginate in the prior art. The method for determining the sodium alginate content and the M / G ratio provided by the invention comprises the following steps: acidolysis of sodium alginate, titration of a sodium alginate acidolysis solution by using a potentiometric titrator to obtain a titration curve, differentiation of the titration curve to obtain a first-order derivative curve, and calculation of the volume of a corresponding titrant to obtain the sodium alginate content. According to the detection method, a plurality of results can be obtained through one-time titration, the efficiency is high, the method is simple, and rapid detection of the sodium alginate content and the M / G ratio is realized.
Owner:青岛海之林生物科技开发有限公司

Track segmentation method and system based on key point identification

The invention discloses a trajectory segmentation method and system based on key point recognition, and relates to the field of trajectory analysis and pattern recognition, and the method comprises the steps: S1, obtaining multi-source trajectory data, and generating time sequence trajectory information; s2, calculating the acceleration corresponding to the track point according to the track information, further calculating the corresponding curvature, carrying out curvature related information statistics through the curvature of the track, and calculating an optimized curvature first-order derivative corresponding to the track point through the curvature information and the statistical information of the curvature; s3, marking acceleration key points, optimizing curvature first-order derivative key points and circling area key points; and S4, integrating information of the acceleration key point, the optimized curvature first-order derivative key point and the circling area key point, and generating a track segmentation result. According to the method, the key points in the trajectory can be accurately recognized, particularly, high performance can be kept in complex trajectories and high-noise data, and the trajectory analysis efficiency and reliability are effectively improved.
Owner:UNIV OF SCI & TECH BEIJING

Short-circuit reverse-sequence protection method for three-phase alternating current and related equipment

The invention provides a short-circuit reverse-sequence protection method for three-phase alternating current and related equipment, and relates to the technical field of new fields. Complex three-phase current information is converted into positive, negative and zero-sequence components which are easier to analyze through symmetric component decomposition. By calculating the anti-sequence component ratio and the zero-sequence component ratio, the ratios are kept relatively stable during normal load change, so that the influence of load change on fault judgment can be effectively eliminated. By introducing a first-order derivative and a second-order derivative, not only can the instantaneous characteristic change when the fault occurs be reflected, but also the dynamic process of fault development can be reflected, which is essentially different from a method which purely depends on a fixed threshold. According to the multi-dimensional feature analysis method, load fluctuation, harmonic interference and real faults can be effectively distinguished, the accuracy of fault recognition is improved, and misoperation of a protection device is avoided.
Owner:SHENZHEN SKONDA ELECTRONICS

Ethylene interpolymer products having unique melt flow-intrinsic viscosity (MFIVI) and high unsaturation

This disclosure relates to ethylene interpolymer products comprising a Melt Flow-Intrinsic Viscosity Index value, MFIVI, of from ≥0.05 to ≤0.80; a first derivative of a melt flow distribution function, formula (I) at a loading of 4000 g, of from ≥−1.85 to ≤−1.51; a sum of unsaturation, SUMU, from ≥0.047 to ≤0.100 unsaturations per 100 carbon atoms; and a residual QC catalytic metal of from ≥0.03 to ≤5 ppm of hafnium. Ethylene interpolymer products comprise at least two ethylene interpolymers. Ethylene interpolymer products are characterized by a melt index (I2) from 0.3 to 500 dg / minute, a density from 0.855 to 0.975 g / cc and from 0 to 25 mole percent of one or more a-olefins. Ethylene interpolymer products have polydispersity, Mw / Mn, from 1.7 to 25; and CDBI50 values from 1% to 98%. These ethylene interpolymer products have utility in flexible as well as rigid applications.
Owner:NOVA CHEM (INT) SA

Method, product and system for solving steady-state neutron diffusion problem of heterogeneous reactor

ActiveCN120579414ANuclear energy generationBiological modelsNeutron diffusionNuclear reactor physics
The invention belongs to the technical field of physical crossing of machine learning and nuclear reactors, and discloses a method, a product and a system for solving the problem of steady-state neutron diffusion of a heterogeneous reactor, which are particularly suitable for a reactor core model of a multi-region and multi-material complex arrangement. According to the method, derivative order reduction processing is carried out on a steady-state multi-group neutron diffusion equation, a first-order derivative equation set equivalent form containing a flow continuity condition is constructed, and the neutron flux density and the neutron current density are jointly predicted by using a neural network. And the continuity of the neutron flux density and the neutron current density can be automatically realized at interfaces of different material regions. Compared with a traditional method, the method has the advantages that complex sampling operation on a material interface can be avoided, and the modeling process is simplified; and the design of a flow continuous constraint loss function at a material interface is reduced, the prediction precision and the training efficiency are effectively improved, and the method has good universality and robustness.
Owner:HUAZHONG UNIV OF SCI & TECH

A method for early identification of component fatigue micro-damage based on nonlinear static component

The application discloses a component fatigue micro-damage early identification method based on a nonlinear static component, and particularly relates to the technical field of material nondestructive testing and structural health monitoring, which comprises the following steps: arranging an excitation probe and a receiving probe on the surface of a component to be measured; selecting an excitation frequency based on a frequency dispersion curve and generating a Hanning window modulated wave; collecting a propagation response signal; extracting a static component amplitude A and a fundamental wave amplitude A through time-frequency processing; calculating a nonlinear static parameter beta=A / A²; further calculating a first derivative S(N) and a second derivative ΔS(N) of beta with respect to a fatigue loading cycle N; and identifying a dislocation dominant stage, a dislocation saturation or rearrangement stage, a micro-crack initiation stage and a macro-crack formation stage according to the first derivative S(N) and the second derivative ΔS(N). The application can be used for early stage identification of the evolution process of component fatigue micro-damage.
Owner:EAST CHINA UNIV OF SCI & TECH

A method and system for correcting blood sodium detection

The application provides a blood sodium detection correction method and system, based on the first derivative sign change and the second derivative extreme value of original spectrum data, the peak value region and the baseline flat region are divided, the local noise level parameters of each flat region are calculated; the first asymmetric factor and the smoothing factor are set for the peak value region, the second asymmetric factor is set for the flat region, and the second smoothing factor is adjusted according to the local noise level parameters; the asymmetric least square fitting is independently performed on each region, the weight is related to the noise level when the residual error is positive, and the weight is 1 minus the asymmetric factor of the region where the spectrum data point is located when the residual error is not positive; the end of the fitting of the previous region is taken as the initial constraint of the latter region, the sub-baseline is generated, and the spline interpolation is connected to form a continuous total baseline; the original spectrum data is subtracted from the total baseline, and the corrected blood sodium spectrum data is obtained.
Owner:THE NAVAL MEDICAL UNIV OF PLA

Detection method for distinguishing egg shells of galliformes and gooses

The invention discloses a detection method for distinguishing egg shells of galliformes and wild gooses. The method comprises the following steps: taking a bird egg shell block with an inner membrane, and carrying out infrared spectrum detection on the sample by using an infrared spectrometer to obtain original spectrum data of the sample; performing first-order derivative processing on the original spectral data to obtain a first-order spectral data; and carrying out clustering analysis on the data of the first guide spectrum and the data in the bird egg shell infrared spectrum clustering database to obtain a clustering result of the egg shell sample to be detected, and further obtaining a conclusion that the egg shell sample to be detected belongs to a galliforme egg shell or a wild goose egg shell. According to the method, infrared spectrum detection is carried out on the inner membranes of bird egg shell blocks, the difference of characteristic absorption bands of protein related functional groups in the inner membranes of egg shells of different substances is utilized, and first-order derivative processing is carried out on spectrum data, so that the species of the galliformes and the yanniformes can be identified; the subdivision identification of specific species in the galliformes can be realized, the result is accurate, and the method is simple and convenient.
Owner:BEIJING ZOO

A method and device for calculating corneal biomechanical properties based on spline theory

ActiveCN115089108BEye diagnosticsBiomechanicsCorneal deformation
The present application relates to a kind of corneal biomechanical property calculation method and device based on spline theory, comprising the following steps: step 1, sampling and analysis are carried out from the dynamic video of corneal stress deformation in historical database, and the profile of cornea is extracted;Step 2, the curve of profile change in the process of corneal deformation is fitted using spline theory, and the curve equation of corneal profile is obtained;Step 3, according to the curve equation of corneal profile in step 2, the zero point of its first derivative and second derivative is solved, to determine the first flattening state moment, the maximum indentation moment and the second flattening moment in the process of corneal deformation, so as to calculate the biomechanical property of cornea.The present application can accurately and objectively evaluate the biomechanical property of cornea.
Owner:WENZHOU UNIV OUJIANG COLLEGE +1

Method for nondestructive testing of carbonization depth of cement-based material

The invention discloses a method for non-destructively detecting the carbonization depth of a cement-based material. The method comprises the following steps: carrying out water saturation treatment on a sample; placing the carbonized surface of the sample above a single-side low-field nuclear magnetic resonance instrument probe downwards, and starting to carry out nuclear magnetic signal test from a preset initial depth from the carbonized surface; gradually moving the unilateral low-field nuclear magnetic resonance instrument main body downwards according to a preset stepping length through a lifter to obtain nuclear magnetic signal data of different depths in the sample; processing the nuclear magnetic signal data of different depths so as to obtain attenuation data of the relative nuclear magnetic signal along with the test depth; first-order derivative processing is carried out on attenuation data of the relative nuclear magnetic signal along with the test depth, and the position where a first-order derivative changes suddenly is the carbonization depth. Compared with a traditional carbonization depth measurement method, the method does not damage the material, is not limited by the internal alkalinity of the material, is more accurate in test result, and has important application potential in the field of durability evaluation of the cement-based material.
Owner:TONGJI UNIV

Method for realizing reversible conversion between water transportation lower boundary variable and unbounded variable and related product

The invention provides a method for realizing reversible conversion between a lower boundary variable and an unbounded variable in water transportation and a related product. The method comprises the following steps of: valuing the lower bounded variable; converting the lower bounded variable into an unbounded variable; mathematical transformation of bounded variables and unbounded variables is proved to be reversible; proving that the first-order derivative at the forward transformation segmentation point is continuous; and proving that the first-order derivative at the inverse transformation segmentation point is continuous. The method has the beneficial effect that the bounded variable of the water transportation lower boundary is successfully converted into the unbounded variable. The conversion can meet the requirements of a part of mathematical assimilation methods and mathematical models for unbounded variables in the water transportation information processing and water transportation variable simulation and prediction processes. According to the method, the basic hypothesis of the peripheral nested algorithm is not damaged, the continuity of the algorithm is ensured, and the introduction of new errors is prevented. From the theoretical level, the assimilation precision of the peripheral nested data and the correction precision of the model correction model are higher, and the algorithm is more stable.
Owner:TIANJIN RES INST FOR WATER TRANSPORT ENG M O T +1

Technologies for non-destructively and in-situ monitoring for corrosion in object

Technologies for nondestructively detecting corrosion of an object include a measurement device such as a vector network analyzer (VNA) and a computing device coupled to the measurement device. An object such as a metallic cable is coupled to the measurement device, multiple S-parameter values for the object are measured over a predetermined frequency range. The range may be between 40 MHz to 1 GHz. The S-parameter values may include forward gain / loss (S21) and input impedance (S11). The computing device counts a number of peaks in the S-parameter values and determines an indication of corrosion for the object based on the number of peaks. The indication of corrosion is proportional to the number of peaks. Counting the peaks may include smoothing the S-parameter values, determining a first order derivative, transforming the derivative to a frequency domain signal, and counting peaks in the frequency domain signal. Other embodiments are described and claimed.
Owner:AUBURN UNIVERSITY +1

Spraying method for surface of vacuum cup

The invention relates to the technical field of spraying of surfaces of vacuum cups, and discloses a spraying method for the surfaces of vacuum cups. The method comprises the following steps: establishing a space coordinate system, collecting a structured light three-dimensional point cloud, mapping the point cloud to a two-dimensional parameter domain, calculating a first-order derivative and a normal vector, further calculating a second-order derivative and a basic form coefficient, extracting a Gaussian curvature and an average absolute curvature, generating a spray point spacing function according to the curvature, generating spray points in the parameter domain, and mapping the spray points into three-dimensional coordinates. And finally, path planning and spraying instruction output are carried out. According to the method, through high-precision non-contact modeling and differential geometric analysis, the geometric change of the curved surface is accurately recognized, self-adaptive adjustment of the spraying point density is guided, the spraying efficiency and uniformity are improved through path optimization, the bottlenecks of a traditional manual or mechanical path setting method in the aspects of spraying uniformity and consistency are broken through, and the method is suitable for large-scale popularization and application. And the device is particularly suitable for intelligent and high-precision spraying operation of personalized products and complex structure surfaces.
Owner:NINGBO XIMATE NEW MATERIAL CO LTD

Short stroke control based stand roll mill gap control method

The present application relates to the method for controlling the opening of the vertical roll mill based on short stroke control, and belongs to the technical field of vertical roll rolling. The method comprises the following steps: obtaining the segmented rolling information of the rolled part in the target workpiece; constructing the quintic polynomial head-tail contour curve according to the rolling information of each segment; obtaining the quartic speed model by taking the first order derivative of time of the quintic polynomial head-tail contour curve, and extracting a plurality of feature points; constructing the deviation degree regression prediction model between the plurality of feature points of the quartic speed model and the preset vertical roll reduction, the preset horizontal roll reduction and the rolling information of each segment; and controlling the opening of the vertical roll mill in the vertical roll rolling according to the deviation degree regression prediction model. The present application improves the opening control precision of the vertical roll mill.
Owner:SHANXI GAOYI STEEL CO LTD

A pipeline blockage early warning method and system

The application relates to the technical field of semiconductor process waste gas treatment, and discloses a pipeline blockage early warning method and system. The method comprises the following steps: obtaining a real-time change curve of real-time pressure and a time sequence according to the obtained time sequence and the real-time pressure of a pipeline; obtaining a fitting function corresponding to the real-time change curve according to the real-time change curve; obtaining a first-order derivative and a second-order derivative of the fitting function according to the fitting function; determining whether the second-order derivative in the time sequence is equal to a first threshold value; if yes, judging a blockage condition of the pipeline at a target moment according to the fitting function; and if not, judging the blockage condition of the pipeline at the target moment according to the first-order derivative and the second-order derivative. The pipeline blockage early warning method can solve the defect that the prior art cannot predict the pipeline blockage condition.
Owner:BEIJING JINGYI AUTOMATION EQUIP CO LTD

Personalized mannequin and manufacturing method, system and device thereof

The invention provides a personalized mannequin and a manufacturing method, system and device thereof, and relates to the technical field of layered mannequin, and the method mainly comprises the steps: collecting three-dimensional point cloud data of a human body sample; generating a three-dimensional model and extracting a human body sagittal plane section point cloud data text; segmenting the sagittal plane section point cloud data into a front part and a rear part, and respectively writing the front part and the rear part into corresponding contour line data texts; through a BP neural network, optimal contour lines of the front part and the rear part are obtained through fitting prediction; calculating a zero cross point through a first-order derivative, and determining feature points of the front and rear parts; segmenting the three-dimensional model to obtain a plurality of human body parts of a front part and a rear part and corresponding processing data; sending the processing data to plate cutting equipment for manufacturing; and the plates are sequentially assembled and fixed to the positioning tool, and the mannequin is obtained. According to the scheme, while personalized body shape information is reserved, the manufacturing cost can be greatly reduced, and the professional layered mannequin meeting the costume design requirement can be rapidly and accurately manufactured.
Owner:INNER MONGOLIA UNIV OF TECH

Optical system, optical element, image pickup apparatus, and lens apparatus

An optical system (L0) includes at least one lens (G1-G5), and a meta-lens (G6, ML) having a lens surface (MLS) that generates a phase change in a wavefront of light passing through the meta-lens. A p
Owner:CANON KK

Method and device for determining viscosity characteristic value of melt in injection mould

PendingCN120439536APressure riseViscosity
A method for determining a viscosity characteristic value of a melt in an injection mold. The injection mold has: at least one cavity into which a melt is injected and which fills the cavity; a pressure sensor unit disposed on the cavity and measuring a mold internal pressure of the melt in the cavity and generating sensor data for the measured mold internal pressure; and at least one evaluation unit for evaluating the sensor data; the evaluation is characterized in that a starting time point is determined, at which the sign of the first derivative function of the sensor data changes from zero (= 0) to positive (gt; 0); determining a filling time point at which the sign of the second derivative function of the sensor data changes from zero (= 0) to positive (gt; 0); a pressure rise is formed between the mold internal pressure at the filling time point and the mold internal pressure at the starting time point; and obtaining a viscosity characteristic value according to the pressure rise and the time difference between the filling time point and the starting time point. The invention also relates to an associated device.
Owner:KISTLER HLDG AG

A multi-scene video intelligent clipping method and system

The present application relates to the technical field of biomedical image processing, and discloses a multi-scene video intelligent clipping method and system, comprising the following steps: obtaining time-synchronized original microscopic video stream and structured experimental operation log; for each operation event, constructing an event neighborhood reference window in the original microscopic video stream and performing spatial registration to generate a locally video segment after spatial correction; generating a spatial attention weight mask according to the operation space coordinate vector, calculating a structure disturbance response value sequence of each frame of the local video segment in combination with a structural similarity index, and obtaining a phase significance score sequence through smoothing filtering; generating an original candidate segment based on the discrete first-order derivative of the phase significance score sequence and baseline period statistical characteristics; according to the preset priority weight of the operation action type label corresponding to the candidate segment, performing cutting and transition processing on the time overlapping segment, and outputting an abstract video file; and generating a metadata index file associated with the abstract video file.
Owner:JIANGSU YANYUTONG ELECTRONIC TECHNOLOGY CO LTD

Analytical method for stability of heterogeneous systems based on simplified nonlinear dynamics model

The present invention provides a method for analyzing the stability of heterogeneous systems based on a simplified nonlinear dynamics model, comprising the following steps: establishing a simplified model topology based on the heterogeneous system and obtaining a phase angle difference, where the phase angle difference is the difference between the phase angle of a first node and the phase angle of a second node; obtaining a simplified nonlinear dynamics model based on the heterogeneous system and the phase angle difference based on the simplified model topology; solving the nonlinear dynamics model using an averaging method to obtain an analytical solution, where the analytical solution is an expression of the square of the system amplitude; differentiating the analytical solution with respect to time to obtain a third first-order derivative; obtaining a stability criterion when the third first-order derivative is zero; and determining the stability of the heterogeneous system based on the stability criterion. The method for analyzing the stability of heterogeneous systems based on a simplified nonlinear dynamics model provided by the present invention is simple and efficient, has a low model order, retains the nonlinear characteristics of the system, performs an analytical solution based on a generalized averaging method, proposes a system stability criterion, and facilitates stability analysis.
Owner:NORTH CHINA ELECTRIC POWER UNIV +1

A univariate classification spectroscopy analysis method and system based on an interpretable deep model

This invention provides a single-spectrum classification spectral analysis method based on an interpretable deep model, comprising: randomly generating several negative samples; summing the standard spectrum of the target object with the generated negative samples to form several positive samples; performing first-order derivative operations on each of the positive and negative samples to obtain differentiated samples; inputting the differentiated samples into a deep forest model for model training to obtain a trained deep forest model; visualizing the trained deep forest model to obtain a visualized deep forest model; and using the visualized deep forest model to identify whether the target object exists in an unknown substance. The method provided by this invention exhibits excellent recognition performance in substance identification, not only accurately distinguishing between target objects and unknown non-target objects, but also capturing weak target object signals in mixtures or complex matrices, achieving highly sensitive and selective substance identification.
Owner:XIAMEN UNIV

Uncertainty quantification method based on derivative enhanced Gaussian process

PendingCN119129467AGuaranteed local accuracyLittle aerodynamic impactDesign optimisation/simulationAlgorithmInitial sample
The invention discloses an uncertainty quantification method based on a derivative enhanced Gaussian process, and belongs to the technical field of uncertainty quantification, and the method comprises the steps: S1, obtaining a training sample set; s2, first-order derivatives and second-order derivatives of the aerodynamic performance parameters for the geometric parameters and the working conditions are obtained; s3, constructing a derivative enhanced Gaussian process model by using the training sample set obtained in the step S1; s4, verifying the prediction performance of the derivative enhanced Gaussian process model through cross validation, and evaluating the accuracy of uncertainty quantification; and S5, performing stochastic simulation in the neighborhood space of the initial sample point, predicting an objective function of a stochastic simulation sample by using the derivative enhanced Gaussian process model, and calculating a robustness index to complete uncertainty quantization. According to the uncertainty quantification method based on the derivative enhanced Gaussian process, the derivative information is fused into the Gaussian process, the global precision of the model and the local precision near the sample point are considered, and the uncertainty quantification precision can be improved.
Owner:ZHENGZHOU UNIV

Ethylene interpolymer products having unique melt flow-intrinsic viscosity (MFIVI) and low unsaturation

This disclosure relates to ethylene interpolymer products comprising a Melt Flow-Intrinsic Viscosity Index value, MFIVI, from ≥0.05 to ≤0.80; a first derivative of a melt flow distribution function, formula (I) at a loading of 4000 g, from >−1.51 to ≤−1.15; a sum of unsaturation, SUMU, from ≥0.005 to <0.047 unsaturations per 100 carbon atoms; and a residual catalytic metal from ≥0.03 to ≤5 ppm of hafnium. Ethylene interpolymer products comprise at least two ethylene interpolymers. Ethylene interpolymer products are characterized by a melt index (I2) from 0.3 to 500 dg / minute, a density from 0.855 to 0.975 g / cc and from 0 to 25 mole percent of one or more a-olefins. Ethylene interpolymer products have polydispersity, Mw / Mn, from 1.7 to 25; and CDBI50 values from 1% to 98%. These ethylene interpolymer products have utility in flexible as well as rigid applications.d⁢Log⁡(1 / In)d⁢Log⁡(loading)(I)
Owner:NOVA CHEM (INT) SA

Method for reconstructing first-order continuous centerline of complex catheter based on scanned point cloud data

The application discloses a complex conduit first-order continuous center line reconstruction method based on scanning point cloud data and belongs to the field of engine geometric parameter digitization detection. After obtaining scanning point cloud data of an outer surface of a conduit, straight pipe data and curved pipe data of the complex conduit are segmented. For the segmented straight pipe and curved pipe data, random sampling cylinder fitting and circle fitting operation based on intersection of a vector point and a main plane are respectively performed to obtain trend lines of the straight pipe and the curved pipe. For the trend lines of the straight pipe and the curved pipe, center points of different pipe sections based on equally-spaced vertical section planes are solved, and linear fitting is respectively performed on the center points of the different pipe sections to obtain a plurality of discontinuous center line sections of the complex conduit. A cubic spline curve is adopted to perform first-order derivative interpolation fitting between adjacent straight line sections and circular arc section center lines to obtain a complex conduit first-order derivative continuous center line. The reconstructed center line is used as a reference for calibration of a pipe special-purpose measuring device measuring capacity.
Owner:BEIJING CHANGCHENG INST OF METROLOGY & MEASUREMENT AVIATION IND CORP OF CHINA