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Numerical Methods for Boundary Value Problems in Variable Coefficient Ordinary Differential Equations 被引量:1
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作者 ZHAO Ting-ting CAI Wei-yun 《Chinese Quarterly Journal of Mathematics》 2025年第3期295-303,共9页
In order to solve the problem of the variable coefficient ordinary differen-tial equation on the bounded domain,the Lagrange interpolation method is used to approximate the exact solution of the equation,and the error... In order to solve the problem of the variable coefficient ordinary differen-tial equation on the bounded domain,the Lagrange interpolation method is used to approximate the exact solution of the equation,and the error between the numerical solution and the exact solution is obtained,and then compared with the error formed by the difference method,it is concluded that the Lagrange interpolation method is more effective in solving the variable coefficient ordinary differential equation. 展开更多
关键词 Variable coefficient ordinary differential equations Lagrange interpolation Difference methods
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Common Issues Identified in the Registration Labels of Ordinary Cosmetics in Beijing and Regulatory Countermeasures
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作者 Sun Lu 《China Detergent & Cosmetics》 2025年第2期16-24,共9页
This study summarizes the examination data of registration labels for ordinary cosmetics in Beijing from May 2021 to April 2024.It analyzes and categorizes the issues identified during label evaluations,explores the u... This study summarizes the examination data of registration labels for ordinary cosmetics in Beijing from May 2021 to April 2024.It analyzes and categorizes the issues identified during label evaluations,explores the underlying causes,and proposes regulatory countermeasures and recommendations for registrants,regulatory authorities,and social organizations.The objective is to offer practical insights and regulatory guidance to support the enhancement of cosmetic registration and regulatory standards. 展开更多
关键词 ordinary cosmetics REGISTRATION labels ISSUES overview suggestions
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Refraction of extraordinary rays and ordinary rays in the Savart polariscope 被引量:3
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作者 吴俊芳 张淳民 +2 位作者 张英堂 刘汉臣 翟学军 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第7期2504-2508,共5页
The refraction of rays in the Savart polariscope is different from the isotropic medium. We have analysed and discussed the refraction of rays in the Savart polariscope on the basis of the Snell law. The refraction fo... The refraction of rays in the Savart polariscope is different from the isotropic medium. We have analysed and discussed the refraction of rays in the Savart polariscope on the basis of the Snell law. The refraction formulae of the extraordinary rays and ordinary rays were derived. Results obtained may provide theoretical and practical guide lines for studying, developing and engineering of polarization interference imaging spectrometer. 展开更多
关键词 Savart polariscope REFRACTION Snell law extraordinary rays ordinary rays
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On the Ratios Dark Matter (Energy)/Ordinary Matter ≈5.4(13.6) in the Universe
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作者 F. C. Hoh 《Journal of Modern Physics》 2020年第7期967-975,共9页
An upper limit of the average ratio dark matter/ordinary matter in galaxies is estimated to be 8.4, in agreement with the observed ratio 5.4. Upper limit of the average ratio dark energy/ordinary matter for slowly mov... An upper limit of the average ratio dark matter/ordinary matter in galaxies is estimated to be 8.4, in agreement with the observed ratio 5.4. Upper limit of the average ratio dark energy/ordinary matter for slowly moving protons in the outer parts of the universe is estimated to be 8.4, much less than the observed ratio 13.6. The discrepancy is tentatively attributed to that the bulk of the protons in these outer parts of the universe moves fastly and their contribution to dark energy has not been estimated. The positive and negative relative energies between the diquark and quark in the proton play the roles of dark energy and dark matter, respectively. 展开更多
关键词 Relative Energy Between Quarks Scalar Strong Interaction Hadron Theory Ratio of Dark Matter to ordinary Matter Ratio of Dark Energy to ordinary Matter Gravitational Pull of Diquark and Quark Proton Orbit Diquark Equations
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An "Ordinary" Man Sees Extraordinary Changes
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作者 By staff reporter LI FUGEN 《China Today》 1999年第10期34-35,共2页
关键词 Man Sees Extraordinary Changes AN ordinary
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The Durability of Alkali-Activated Materials in Comparison with Ordinary Portland Cements and Concretes:A Review 被引量:27
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作者 Aiguo Wang Yi Zheng +4 位作者 Zuhua Zhang Kaiwei Liu Yan Li Liang Shi Daosheng Sun 《Engineering》 SCIE EI 2020年第6期695-706,共12页
China is the largest producer and user of ordinary Portland cement(OPC),and the rapid growth of infrastructure development demands more sustainable building materials for concrete structures.Alkali-activated materials... China is the largest producer and user of ordinary Portland cement(OPC),and the rapid growth of infrastructure development demands more sustainable building materials for concrete structures.Alkali-activated materials(AAMs)are a new type of energy-saving and environmentally friendly building material with a wide range of potential applications.This paper compares the durability of AAMs and 0 PC-based materials un der sulfate attack,acid corrosion,carb on ation,and chloride penetratio n.Different AAMs have shown distinct durability properties due to different compositions being formed when different raw materials are used.According to the calcium(Ca)concentration of the raw materials,this paper interprets the deterioration mechanisms of three categories of AAMs:calcium-free,low-calcium,and calcium-rich.Conflicts found in the most recent research are highlighted,as they raise concerns regarding the consistenee and long-term properties of AAMs.Nevertheless,AAMs show better durability performances than OPC-based materials in general. 展开更多
关键词 Alkali-activated materials GEOPOLYMER DURABILITY ordinary Portland cement Deterioration mechanism
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Classification of 24 New Ordinary Chondrites from the Grove Mountains, Antarctica 被引量:13
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作者 LURen MIAOBingkui +4 位作者 WANGGuiqing DAIDeqiu LINYangting OUYANGZiyuan LIChunlai 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2004年第5期1052-1059,共8页
Petrography and mineral chemistry of 24 ordinary chondrites from the Grove Mountains, Antarctica, have been studied in order to identify their chemical-petrographic types. These samples were selected from a total of 4... Petrography and mineral chemistry of 24 ordinary chondrites from the Grove Mountains, Antarctica, have been studied in order to identify their chemical-petrographic types. These samples were selected from a total of 4448 Grove Mountains (GRV) meteorites collected during the 19th Chinese Antarctic Research Expedition so as to make an estimation of the large GRV meteorite collection. The chemical-petrographic types of these meteorites are presented below: 1 H3,2 H4, 4 H5, 2 H6, 1 L4, 7 L5, 5 L6, 1 LL4 and 1 LL6. The new data weaken the previous report that unequilibrated ordinary chondrites are unusually abundant in the Grove Mountains region. However, this work confirms significant differences in distribution patterns of chemical-petrographic types between the Grove Mountains and other regions in Antarctica. Many of these meteorites show significant terrestrial weathering, probably due to a high abundance ratio of meteorites found in moraines to those on blue ice. Nine meteorites experienced severe shock metamorphism, as evidenced by undulose extinction and intense fracturing of silicates and presence of shock-induced melt veins and pockets. These heavily shocked meteorites provided us with natural samples for the study of high-pressure polymorphs of minerals. 展开更多
关键词 ANTARCTICA METEORITE ordinary chondrite CLASSIFICATION shock metamorphism thermal metamorphism
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New Derivation of Ordinary Differential Equations for Transient Free-Surface Green Functions 被引量:16
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作者 段文洋 戴遗山 《China Ocean Engineering》 SCIE EI 2001年第4期499-508,共9页
Based on the Laplace transform, a direct derivation of the ordinary differential equations for the three-dimensional transient free-surface Green function in marine hydrodynamics is presented. The results for the 3D G... Based on the Laplace transform, a direct derivation of the ordinary differential equations for the three-dimensional transient free-surface Green function in marine hydrodynamics is presented. The results for the 3D Green function and all its spatial derivatives are a set of fourth-order ordinary differential equations, which are identical with that of Clement (1998). All of these results may be used to accelerate numerical computation for the time-domain boundary element method in marine hydrodynamics. 展开更多
关键词 marine hydrodynamics TIME-DOMAIN Green function ordinary differential equation Laplace transform
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Mapping Soil Electrical Conductivity Using Ordinary Kriging Combined with Back-propagation Network 被引量:6
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作者 HUANG Yajie LI Zhen +4 位作者 YE Huichun ZHANG Shiwen ZHUO Zhiqing XING An HUANG Yuanfang 《Chinese Geographical Science》 SCIE CSCD 2019年第2期270-282,共13页
Accurate mapping of soil salinity and recognition of its influencing factors are essential for sustainable crop production and soil health. Although the influencing factors have been used to improve the mapping accura... Accurate mapping of soil salinity and recognition of its influencing factors are essential for sustainable crop production and soil health. Although the influencing factors have been used to improve the mapping accuracy of soil salinity, few studies have considered both aspects of spatial variation caused by the influencing factors and spatial autocorrelations for mapping. The objective of this study was to demonstrate that the ordinary kriging combined with back-propagation network(OK_BP), considering the two aspects of spatial variation, which can benefit the improvement of the mapping accuracy of soil salinity. To test the effectiveness of this approach, 70 sites were sampled at two depths(0–30 and 30–50 cm) in Ningxia Hui Autonomous Region, China. Ordinary kriging(OK), back-propagation network(BP) and regression kriging(RK) were used in comparison analysis; the root mean square error(RMSE), relative improvement(RI) and the decrease in estimation imprecision(DIP) were used to judge the mapping quality. Results showed that OK_BP avoided the both underestimation and overestimation of the higher and lower values of interpolation surfaces. OK_BP revealed more details of the spatial variation responding to influencing factors, and provided more flexibility for incorporating various correlated factors in the mapping. Moreover, OK_BP obtained better results with respect to the reference methods(i.e., OK, BP, and RK) in terms of the lowest RMSE, the highest RI and DIP. Thus, it is concluded that OK_BP is an effective method for mapping soil salinity with a high accuracy. 展开更多
关键词 ordinary KRIGING NEURAL network SOIL electrical CONDUCTIVITY VARIABILITY MAPPING Ningxia China
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Effects of fibers on expansive shotcrete mixtures consisting of calcium sulfoaluminate cement,ordinary Portland cement,and calcium sulfate 被引量:7
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作者 H.Yu L.Wu +1 位作者 W.V.Liu Y.Pourrahimian 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2018年第2期212-221,共10页
The mining industry often uses shotcrete for ground stabilization. However, cracking within shotcrete is commonly observed, which delays production schedules and increases maintenance costs. A possible crack reduction... The mining industry often uses shotcrete for ground stabilization. However, cracking within shotcrete is commonly observed, which delays production schedules and increases maintenance costs. A possible crack reduction method is using expansive shotcrete mixture consisting of calcium sulfoaluminate cement(CSA), ordinary Portland cement(OPC), and calcium sulfate(CS) to reduce shrinkage. Furthermore, fibers can be added to the mixture to restrain expansion and impede cracking. The objective of this paper is to study the effects of nylon fiber, glass fiber, and steel fiber on an expansive shotcrete mixture that can better resist cracking. In this study, parameters such as density, water absorption, volume of permeable voids, unconfined compressive strength(UCS), splitting tensile strength(STS), and volume change of fiber-added expansive mixtures were determined at different time periods(i.e. the strengths on the 28 th day, and the volume changes on the 1 st, 7 th, 14 th, 21 st, and 28 th days). The results show that addition of fibers can improve mixture durability, in the form of decreased water absorption and reduced permeable pore space content. Moreover, the expansion of the CSA-OPC-CS mixture was restrained up to50% by glass fiber, up to 43% by nylon fiber, and up to 28% by steel fiber. The results show that the STS was improved by 57% with glass fiber addition, 43% with steel fiber addition, and 38% with nylon fiber addition. The UCS was also increased by 31% after steel fiber addition, 26% after nylon fiber addition, and16% after glass fiber addition. These results suggest that fiber additions to the expansive shotcrete mixtures can improve durability and strengths while controlling expansion. 展开更多
关键词 SHOTCRETE Restrained expansion Fibers Calcium sulfoaluminate cement(CSA) ordinary Portland cement(OPC) Calcium sulfate(CS)
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HIGH ACCURACY FINITE VOLUME ELEMENT METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEM OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS 被引量:4
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作者 Wang Tongke(王同科) 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2002年第2期213-225,共13页
In this paper, a high accuracy finite volume element method is presented for two-point boundary value problem of second order ordinary differential equation, which differs from the high order generalized difference me... In this paper, a high accuracy finite volume element method is presented for two-point boundary value problem of second order ordinary differential equation, which differs from the high order generalized difference methods. It is proved that the method has optimal order error estimate O(h3) in H1 norm. Finally, two examples show that the method is effective. 展开更多
关键词 SECOND order ordinary differential equation TWO-POINT boundary value problem high accuracy finite volume element method error estimate.
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Role of detection of microsatellite instability in Chinese with hereditary nonpolyposis colorectal cancer or ordinary hereditary colorectal cancer 被引量:5
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作者 Wen-Zhi Liu Feng Jin +1 位作者 Zhen-Hai Zhang Shu-Bao Wang 《World Journal of Gastroenterology》 SCIE CAS CSCD 2006年第29期4745-4749,共5页
AIM: To detect microsatellite instability (MSI) in patients with hereditary nonpolyposis colorectal cancer or ordinary hereditary colorectal cancer and to provide criteria for screening the kindreds with hereditary... AIM: To detect microsatellite instability (MSI) in patients with hereditary nonpolyposis colorectal cancer or ordinary hereditary colorectal cancer and to provide criteria for screening the kindreds with hereditary nonpolyposis colorectal cancer at molecular level.METHODS: MSI was detected in the specimens from 20 cases with HNPCC, 20 cases with ordinary hereditary colorectal cancer and 20 cases with sporadic colorectal cancer by means of polymerase chain reaction-single strand conformation polymorphism. RESULTS: The positive rate of MSI was 85% (17/20) in HNPCC group, 40% (8/20) in ordinary hereditary colorectal cancer group and 10% (2/20) in the sporadic colorectal cancer group respectively. The differences were significant. The mean ages of the three groups were 43.6, 52.2, and 61.8 years respectively, which increased gradually. The incidence of right hemicolon cancer was 64.7%, 37.5%, and 0% respectively, which decreased gradually and had significant difference. The expression ratio of BAT26 and BAT25 was 94.1% respectively, which was highest in the 5 gene sites studied. The incidence of poorly differentiated adenocarcinoma was 70.6% in HNPCC group among high frequency microsatellite instability (MSI-H), which was higher than the other two groups, which had 50% and 50% respectively. CONCLUSION: The incidence of MSI-H is higher in HNPCC group. The detection of MSI is simple and economical and has high correlation with the clinicopathologic feature of HNPCC and can be used as a screening method to detect the germ line mutation of the mismatch repair gene. 展开更多
关键词 Hereditary nonpolyposis colorectal cancer Microsatellite instability ordinary hereditary colorec-tal cancer Single strand conformation polymorphism Polymerase chain reaction
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Sonocatalytic degradation of methyl orange in the presence of (nanometer and ordinary) anatase TiO_2 powders 被引量:3
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作者 WANGJun GUOBao-dong ZHANGZhao-hong ZHANGXiang-dong WUJing LIHong 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2005年第3期414-418,共5页
The nanometer and ordinary anatase titanium dioxide(TiO_2) powders were adopted as the sonocatalysts for the degradation of methyl orange used as a model compound for the first time. It was found that the sonocatalyti... The nanometer and ordinary anatase titanium dioxide(TiO_2) powders were adopted as the sonocatalysts for the degradation of methyl orange used as a model compound for the first time. It was found that the sonocatalytic degradation effect of methyl orange in the presence of TiO_2 powder were much better than that without TiO_2, but the sonocatalytic activity of the nanometer anatase TiO_2 particle was obviously higher than that of ordinary anatase TiO_2 particle. Although there are many factors influencing sonocatalytic degradation of methyl orange, the experimental results showed that the best degradation ratio of methyl orange could be obtained when the experimental conditions were: initial concentration 15 mg/L, nanometer anatase TiO_2 adding amount 750 mg/L, ultrasonic frequency 40 kHz, output power 50 W, pH = 3.0 and temperature 40℃ within 150 min. In addition, the catalytic activity of reused nanometer anatase TiO_2 catalyst was also studied and found to decline gradually comparing with initial nanometer anatase TiO_2 catalyst. All experiments indicated that the method of the sonocatalytic degradation of organic pollutants in the presence of TiO_2 powder was an advisable choice for non- or low-transparent organic wastewaters. 展开更多
关键词 titanium dioxide(TiO_2) sonocatalytic degradation methyl orange nanometer anatase ordinary anatase
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The vanadium isotopic composition of L ordinary chondrites 被引量:4
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作者 Yongli Xue Chun-hui Li +3 位作者 Yuhan Qi Chuantong Zhang Bingkui Miao Fang Huang 《Acta Geochimica》 EI CAS CSCD 2018年第4期501-508,共8页
Stable isotopic data of meteorites are critical for understanding the evolution of terrestrial planets. In this study, we report high-precision vanadium (V) isotopic compositions of 11 unequilibrated and equilibrate... Stable isotopic data of meteorites are critical for understanding the evolution of terrestrial planets. In this study, we report high-precision vanadium (V) isotopic compositions of 11 unequilibrated and equilibrated L chondrites. Our samples show an average δ^51v of -1.25‰ ±0.38‰ (2SD, n = 11), which is ,- 0.5‰ lighter than that of the bulk silicate Earth constrained by mantle peridotites. Isotopic fractionation in type 3 ordinary chondrites vary from - 1.76‰ to - 1.29‰, whereas the δ^51V of equilibrated chondrites vary from - 1.37‰ to -1.08‰. 551V of L chondrites do not correlate with thermal metamorphism, shock stage, or weathering degree. Future studies are required to explore the reason for V isotope variation in the solar system. 展开更多
关键词 V isotopes L ordinary chondrites VARIATION
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ON THE SINGULAR PERTURBATION OF A NONLINEAR ORDINARY DIFFERENTIAL EQUATION WITH TWO PARAMETERS 被引量:3
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作者 张汉林 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第5期471-480,共10页
In this paper,the method of differential inequalities has been applied to study theboundary value problems of nonlinear ordinary differential equation with two parameters.The asymptotic solutions have been found and t... In this paper,the method of differential inequalities has been applied to study theboundary value problems of nonlinear ordinary differential equation with two parameters.The asymptotic solutions have been found and the remainders have been estimated. 展开更多
关键词 REAL ON THE SINGULAR PERTURBATION OF A NONLINEAR ordinary DIFFERENTIAL EQUATION WITH TWO PARAMETERS exp
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On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations 被引量:3
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作者 Amjed Zraiqat Laith K. Al-Hwawcha 《Applied Mathematics》 2015年第6期953-957,共5页
In this paper, a new approach for solving the second order nonlinear ordinary differential equation y’’ + p(x;y)y’ = G(x;y) is considered. The results obtained by this approach are illustrated by examples and show ... In this paper, a new approach for solving the second order nonlinear ordinary differential equation y’’ + p(x;y)y’ = G(x;y) is considered. The results obtained by this approach are illustrated by examples and show that this method is powerful for this type of equations. 展开更多
关键词 Nonlinear ordinary DIFFERENTIAL EQUATION PARTIAL DIFFERENTIAL EQUATION RICCATI DIFFERENTIAL EQUATION
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Response of silicate chemical composition variation on thermal metamorphism of ordinary chondrites and classification of petrologic types:the case of L chondrites from Grove Mountains,Antarctica 被引量:1
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作者 Chuantong Zhang Bingkui Miao +1 位作者 Zhipeng Xia Qinglin Xie 《Acta Geochimica》 EI CAS CSCD 2021年第6期895-911,共17页
Analysis of the thermal metamorphism of the ordinary chondrites is a key premise for gaining insights into the accretion and heating of rocky bodies in the early solar system.Such an analysis also represents an essent... Analysis of the thermal metamorphism of the ordinary chondrites is a key premise for gaining insights into the accretion and heating of rocky bodies in the early solar system.Such an analysis also represents an essential condition for constraining the early thermal and evolutionary histories of asteroids and terrestrial planets.Classifying ordinary chondrites into petrologic type(type 3–6)is the criterion for studying the thermal metamorphism of their parent bodies.However,the boundary between the unequilibrated(type 3)and equilibrated(type 4–6)chondrites is ambiguous at present,thus,limiting the understanding of their thermal metamorphism.In this study,the petrology,mineralogy and chemical composition of a set of seven ordinary chondrites with different degrees of thermal metamorphism collected from Grove Mountains(Antarctica)have been studied.The results demonstrated that these chondrite samples were L3.7,L3.8,L3.9,L3.9/4,L4,L5 and L6 type meteorites,with optimal correlations of Si,Mg,Fe,Mn and Ca with equilibrium degree of the olivine and low-calcium pyroxene and petrologic type.In this respect,the multi-parameter classification standard PMD(SiO2)-PMD(MgO)-PMD(MnO)-PMD(CaO)based on the percent mean deviation(PMD)of the chemical compositions of the olivine and low-calcium pyroxene was proposed to distinguish between the unequilibrated and equilibrated meteorites.The proposed standard exhibited high“resolution”in terms of classification,thus,also deepening the understanding of the effect of the silicate mineral composition in the thermal metamorphism of chondrites.Highlights The chemical groups and petrologic types of the selected seven Antarctic chondrites were L3.7,L3.8,L3.9,L3.9/4,L4,L5 and L6.A new method for petrologic type classification is proposed to distinguish the unequilibrated and equilibrated chondrites.The above developed multi-parameter system exhibited high“resolution”in terms of classification. 展开更多
关键词 Grove mountains ANTARCTICA ordinary chondrite Thermal metamorphism SILICATE Petrologic type Classification standard
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Stochastic Computational Approach for Complex Nonlinear Ordinary Differential Equations 被引量:1
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作者 Junaid Ali Khan Muhammad Asif Zahoor Raja Ijaz Mansoor Qureshi 《Chinese Physics Letters》 SCIE CAS CSCD 2011年第2期20-23,共4页
We present an evolutionary computational approach for the solution of nonlinear ordinary differential equations(NLODEs).The mathematical modeling is performed by a feed-forward artificial neural network that defines a... We present an evolutionary computational approach for the solution of nonlinear ordinary differential equations(NLODEs).The mathematical modeling is performed by a feed-forward artificial neural network that defines an unsupervised error.The training of these networks is achieved by a hybrid intelligent algorithm,a combination of global search with genetic algorithm and local search by pattern search technique.The applicability of this approach ranges from single order NLODEs,to systems of coupled differential equations.We illustrate the method by solving a variety of model problems and present comparisons with solutions obtained by exact methods and classical numerical methods.The solution is provided on a continuous finite time interval unlike the other numerical techniques with comparable accuracy.With the advent of neuroprocessors and digital signal processors the method becomes particularly interesting due to the expected essential gains in the execution speed. 展开更多
关键词 TECHNIQUE METHODS ordinary
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Nonlinear Acoustic-Optical Effect and Extraordinary Diffraction Distribution in Liquid Surface 被引量:1
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作者 MIAO Yang WANG Shao-Ping 《Chinese Physics Letters》 SCIE CAS CSCD 2013年第12期67-70,共4页
Nonlinear acoustic-optical effect is discovered by using a low-frequency liquid surface acoustic wave with great amplitude.There are higher harmonics in diffracted light and the intensity of the higher harmonic has th... Nonlinear acoustic-optical effect is discovered by using a low-frequency liquid surface acoustic wave with great amplitude.There are higher harmonics in diffracted light and the intensity of the higher harmonic has the relation of Bessel's function with the amplitude.The light patterns diffracted by the wave can be classified into the ordinary and extraordinary beams which are corresponding to small and great amplitudes of the waves.The ordinary and extraordinary patterns are observed experimentally and the critical amplitude value is found. 展开更多
关键词 ordinary NONLINEAR WAVE
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Local parameter identification with neural ordinary differential equations 被引量:1
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作者 Qiang YIN Juntong CAI +1 位作者 Xue GONG Qian DING 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2022年第12期1887-1900,共14页
The data-driven methods extract the feature information from data to build system models, which enable estimation and identification of the systems and can be utilized for prognosis and health management(PHM). However... The data-driven methods extract the feature information from data to build system models, which enable estimation and identification of the systems and can be utilized for prognosis and health management(PHM). However, most data-driven models are still black-box models that cannot be interpreted. In this study, we use the neural ordinary differential equations(ODEs), especially the inherent computational relationships of a system added to the loss function calculation, to approximate the governing equations. In addition, a new strategy for identifying the local parameters of the system is investigated, which can be utilized for system parameter identification and damage detection. The numerical and experimental examples presented in the paper demonstrate that the strategy has high accuracy and good local parameter identification. Moreover, the proposed method has the advantage of being interpretable. It can directly approximate the underlying governing dynamics and be a worthwhile strategy for system identification and PHM. 展开更多
关键词 neural ordinary differential equation(ODE) parameter identification prognosis and health management(PHM) system damage detection
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