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从Desargues对合定理到蝴蝶定理
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作者 邵金声 马建华 《淮北煤师院学报(自然科学版)》 1994年第4期27-29,共3页
本文将蝴蝶定理及与之有关的一些推广和变形统一于高等几何的Desargues对合定理之中。
关键词 Desargues 对合定量 蝴蝶定理 高等几何
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Identification of indoor multi-component pollution gas aliasing peak based on JADE
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作者 王芳 李晋华 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2016年第1期24-29,共6页
Monitoring indoor harmful gas can obtain the infrared spectra of mixed harmful gases.Since the absorption bands of mixed gases overlap and their qualitative and quantitative analyses are not easy,feature extraction me... Monitoring indoor harmful gas can obtain the infrared spectra of mixed harmful gases.Since the absorption bands of mixed gases overlap and their qualitative and quantitative analyses are not easy,feature extraction method based on joint approximative diagonalization of eigenmatrix(JADE)is proposed.By fully mining the hidden information of original data and analyzing higher-order statistics information of the data,each substance spectrum in the mixed gas can be accurately distinguished.In addition,a multi-dimensional data quantitative analysis model of the extracted independent source is established by using support vector machine(SVM)based on regular theory.The experimental results show that the correlation coefficients of the components of mixed gases is above 0.999 1by quantitative analysis,which verifies the accuracy of this feature extraction method. 展开更多
关键词 aliasing peak identification joint approximative diagonalization of eigenmatrix(JADE) quantitative analysis sup-port vector machine(SVM)
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Influence of wave normal angle on gyroresonance between chorus waves and outer radiation belt electrons 被引量:5
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作者 DING YuanHui HE ZhaoGuo +1 位作者 ZHANG ZeLong XIAO FuLiang 《Science China(Technological Sciences)》 SCIE EI CAS 2013年第11期2681-2689,共9页
In this paper, using a Gaussian distribution of wave normal angle X=tan0, and considering contributions of harmonic resonances n up to +5, we analyze the effect of normal angle on diffusion coefficients induced by gy... In this paper, using a Gaussian distribution of wave normal angle X=tan0, and considering contributions of harmonic resonances n up to +5, we analyze the effect of normal angle on diffusion coefficients induced by gyroresonance between chorus waves and electrons with energies 0.1 and 1.0 MeV on the dayside and nightside at L=4.5. When pitch angle a~〉10~, for 0.1 and 1,0 MeV electrons on the dayside and nightside, diffusion coefficients of five orders (-2, -1, 0, 1, 2) decrease with in- creasing normal angle peak, leading to the total diffusion coefficients decreasing with increasing peak. When ae〈10~, for 1.0 MeV electrons on the dayside and 0.1 MeV electrons on the dayside and nightside, the positive order diffusion coefficients are generally smaller than the same negative order ones; in the meanwhile, diffusion coefficients of orders (-2, 1, 2) are very small, the dominant order n=-I diffusion coefficients change very little, hence the total diffusion coefficients almost remain un- changed. However, for 1.0 MeV electrons on the nightside, diffusion coefficients of orders (-2, 1, 2) which are larger than those of the order (-1) resonance increase with increasing peak, hence the total diffusion coefficients increase with increasing peak. The current results show that the wave normal angle plays an important role in the quantitative analysis of gyroresonance between chorus waves and electrons in the outer radiation belt. 展开更多
关键词 diffusion coefficients wave normal angle resonant interaction
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Composition dependent elastic modulus and phase stability of Ni_2MnGa based ferromagnetic shape memory alloys
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作者 HU QingMiao LUO HuBin +2 位作者 LI ChunMei VITOS Levente YANG Rui 《Science China(Technological Sciences)》 SCIE EI CAS 2012年第2期295-305,共11页
Ni2MnGa based ferromagnetic alloys are ideal candidates for applications such as actuators, magnetic refrigerators or magne-tostrictive transducers due to their attractive properties such as magnetic field induced sha... Ni2MnGa based ferromagnetic alloys are ideal candidates for applications such as actuators, magnetic refrigerators or magne-tostrictive transducers due to their attractive properties such as magnetic field induced shape memory effect and large magnetocaloric effect. The properties of these alloys (e.g., the martensitic transformation temperature TM) sensitively depend on the composition. Understanding the composition dependence of these properties so as to design the alloy as desired is one of the main research topics in this area. In recent years, we have investigated the composition dependent elastic modulus and phase stability of Ni2MnGa-based alloys by using a first-principles method, in hope of clarifying their connection to the properties of these alloys. In this article, we review the main results of our investigations. We show that the tetragonal shear modulus C' is a better predictor of the composition dependent TM than the number of valence electrons per atom (e/a) since the general TM-C' correlation works for some of the alloys for which the TM-ela correlation fails, although there exist several cases for which both the general TM-C' and TM-ela correlations break down. Employing the experimentally determined modulation function, the complex 5-layer modulated (5M) structure of the martensite of Ni2MnGa and the Al-doping effect on it are studied. We find that the shuffle and shear of the 5M structure are linearly coupled. The relative stability of the austenite and the marten- sites is examined by comparing their total energies. The non-modulated martensite β'″ with the tetragonality of the unit cell c/a〉1 is shown to be globally stable whereas the 5M martensite with c/a〈1 is metastable. The critical Al atomic fraction over which the martensitic transformation between the 5M martensite and austenite cannot occur is predicted to be 0.26, in reason- able agreement with experimental findings. 展开更多
关键词 NieMnGa martensitic transformation elastic modulus phase stability density functional theory
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