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INVARIANCE AND STABILITY OF THE PROFILE EQUATIONS OF GEOmETRIC OPTICS

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Acta mathematica Scientia 2011年第6期31卷 2141-2158页

作者： Guy mtivier Jeffrey Rauch Institut de mathmatiques de Bordeaux Universit de Bordeaux Department of mathematics University of Michigan

The profile equations of geometric optics are described in a form invariant under the natural transformations of first order systems of partial differential equations. This allows us to prove that various strategies for computing profile equations are equivalent. We prove that if L generates an evolution on L2 the same is true of the profile equations. We prove that the characteristic polynomial of the profile equations is the localization of the characteristic polynomial of the background operator at （y, dφ（y）） where φ is the background phase. We prove that the propagation cones of the profile equations are subsets of the propagation cones of the background operator.

关键词： geometric optics profile equation localisation vector bundles propagation cones

Voyage of the Indian subcontinent since Pangea breakup and driving force of supercontinent cycles: Insights on dynamics from numerical modeling

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Geoscience Frontiers 2018年第5期9卷 1279-1292页

作者： masaki Yoshida m.Santosh Department of Deep Earth Structure and Dynamics Research Japan Agency for Marinee Earth Science and Technology (JAMSTEC) School of Earth Sciences and Resources China University of Geosciences Department of Earth Sciences School of Physical Sciences University of Adelaide Faculty of Science Kochi University

Recent advances in three-dimensional numerical simulations of mantle convection have aided in approximately reproducing continental movement since the Pangea breakup at 200 ma. These have also led to a better understanding of the thermal and mechanical coupling between mantle convection and surface plate motion and predictions of the configuration of the next supercontinent. The simulations of mantle convection from 200 ma to the present reveals that the development of large-scale cold mantle downwellings in the North Tethys Ocean at the earlier stage of the Pangea breakup triggered the northward movement of the Indian subcontinent. The model of high temperature anomaly region beneath Pangea resulting from the thermal insulation effect support the breakup of Pangea in the real Earth time scale, as also suggested in previous geological and geodynamic models. However, considering the low radioactive heat generation rate of the depleted upper mantle, the high temperature anomaly region might have been generated by upwelling plumes with contribution of deep subducted TTG(tonalite-trondhjemite-granite) materials enriched in radiogenic elements. Integrating the numerical results of mantle convection from 200 ma to the present, and from the present to the future, it is considered that the mantle drag force acting on the base of continents may be comparable to the slab pull force, which implies that convection in the shallower part of the mantle is strongly coupled with surface plate motion.

关键词： Numerical modeling Plate tectonics Supercontinent Geodynamics Indian subcontinent Pangea

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稳定化对米糠油质量特性的影响

中国油脂 1990年第6期15卷 51-53页

作者： Nasirullah m.N.krishnamurtliy k.V.Nagaraja 黄英北京市油脂公司

本文就米糠的酸、热、冷稳定化对米糠油质量特性的影响进行了研究。就控制游离脂肪酸来说,米糠的酸和热的稳定化是具有同等效果的。从经过稳定化处理的米糠中提取的油与从未经稳定化处理的米糠中提取的油(对照油样)的碘值、皂化值、丁... 详细信息

本文就米糠的酸、热、冷稳定化对米糠油质量特性的影响进行了研究。就控制游离脂肪酸来说,米糠的酸和热的稳定化是具有同等效果的。从经过稳定化处理的米糠中提取的油与从未经稳定化处理的米糠中提取的油(对照油样)的碘值、皂化值、丁酸折射计读数是非常接近的,即:碘值(IV)90～92.2,皂化值(SV)188以及丁酸折射计读数(BRR)56.0。然而,由于残余蜡的存在,伯利埃混浊温度即使高达70℃也不能读出。从稳定化米糠中提取的油的脂肪酸组分经气相色谱测定如下:肉豆蔻酸为(1.2～3.3),棕榈酸(18.0～20.3),硬脂酸(0.5～1.2),油酸(34.0～43.9),亚油酸(31.0～35.7),亚麻酸(2.3～3.7),花生酸(0.5～2.8)。在脂肪酸组分上,它们与对照油样是很相似的。稳定化对米糠油的(防止食品掺杂)的质量标;住或特性是没有影响的。本文还就米糠的冷冻作用对米糠油的可萃性和成分的影响进行了研究。

关键词：稳定化米糠油质量

Trivial and Simple Spectrum for SL(d,R) Cocycles with Free Base and Fiber Dynamics

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Acta mathematica Sinica,English Series 2015年第7期31卷 1113-1122页

作者： mrio BESSA Paulo VARANDAS Departamento de matemtica Universidade da Beira InteriorRua Marquês d'vila e Bolama6201-001 CovilhPortugal Departamento de matemtica Universidade Federal da BahiaAv.Ademar de Barros s/n40170-110 SalvadorBrazil

Let ACD（m, SL（d,R）） denote the pairs （f, A） so that f∈ A C Diff^1（m） is a C^1-Anosov transitive diffeomorphisms and A is an SL（d,R） cocycle dominated with respect to f. We prove that open and densely in ACD（m, SL（d,R））, in appropriate topologies, the pair （f,A） has simple spectrum with respect to the unique maximal entropy measure μf. Then, we prove prevalence of trivial spectrum near the dynamical cocycle of an area-preserving map and also for generic cocycles in AUtLeb（m） × LP（m, SL（d, R））.

关键词： Linear cocycles Lyapunov exponents Anosov diffeomorphisms topological conjugacy,maximal entropy measures

ENTROPY FUNCTIONAL FOR CONTINUOUS SYSTEmS OF FINITE ENTROPY

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Acta mathematica Scientia 2012年第2期32卷 775-782页

作者： m.Rahimi A.Riazi Department of mathematics Amirkabir University of TechnologyTehranIran

In this article, we introduce the concept of entropy functional for continuous systems on compact metric spaces, and prove some of its properties. We also extract the kolmogorov entropy from the entropy functional.

关键词： Entropy entropy functional invaxiant

On-line Time Differential Perturbed Angular Correlation with Light Probe Nuclei19F

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On-line Time Differential Perturbed Angular Correlation with...

Ha Line Polarization in the 2B/X4.8 Flare of 2002 July 23

CCAST“超精细相互作用与核固体物理”研讨会

作者： T.minamisono k.matsuta m.Fukuda m.mihara k.Sato H.Akai Department of Physics Graduate School of Science Osaka UniversityOsakaJapan

The on-line time differential perturbed angular correlation(TDPACOL)technique has been established for the first *** anexample of its applications,the TDPACOL measurement was carried outfor F in *** coupling constant ...

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来源： cnki会议评论

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cnki会议

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Chinese Journal of Astronomy and Astrophysics 2003年第3期3卷 266-276页

作者： ZhiXu N.m.Firstova DepartmentofAstronomy NanjingUniversityNanjing210093 InstituteofSolar-TerrestrialPhysics RussianAcademyofSciencesSiberianDivisionRussia

On 2002 July 23, a 2B/X4.8 flare was observed in the Hα line spec-tropolarimetrically by the Large Solar Vacuum Telescope of Baikal AstrophysicalObservatory. Linear polarization of 3%-10% was detected in the Hα line, particu-larly where the line showed central reversal. The linear polarization is mainly radialon the solar disk and appears at the impulsive phase of the hard X-ray and γ-raybursts. It is limited to some relatively small regions of the flare. The polarizationin a limited small region (～ 4″ - 5″) changed its direction within a short period oftime (～ 10s).

关键词： Polarization - line: profile - Sun: flare

Jungck's Common Fixed Point Theorem and E.A Property

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Acta mathematica Sinica,English Series 2008年第1期24卷 87-94页

作者： m.ImDAD Javid ALI Department of mathematics Aligarh Muslim University

We prove that （E.A） property buys the required containment of range of one mapping into the range of other in common fixed point considerations up to a pair of mappings. While proving our results, we utilize the ide... 详细信息

关键词： E.A property weak compatible mappings coincidence points fixed points and implicit functions

Shannon information entropies for rectangular multiple quantum well systems with constant total lengths

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Chinese Physics B 2018年第4期27卷 154-163页

作者： m Solaimani Guo-Hua Sun Shi-Hai Dong Department of Physics Faculty of Science Qom University of Technology Qom Iran Catedrática CONACyT CIC lnstituto Politécnico Nacional Unidad Profesional ALM CDMX C. P. 07700 Mexico Laboratorio de Informacién Cuántica CIDETEC Instituto Politécnico Nacional Unidad Profesional ALM CDMX C. P. 07700 Mexico

We first study the Shannon information entropies of constant total length multiple quantum well systems and then explore the effects of the number of wells and confining potential depth on position and momentum information entropy density as well as the corresponding Shannon *** find that for small full width at half maximum（FWHm） of the position entropy density,the FWHm of the momentum entropy density is large and vice *** increasing the confined potential depth,the FWHm of the position entropy density decreases while the FWHm of the momentum entropy density *** increasing the potential depth,the frequency of the position entropy density oscillation within the quantum barrier decreases while that of the position entropy density oscillation within the quantum well *** increasing the number of wells,the frequency of the position entropy density oscillation decreases inside the barriers while it increases inside the quantum *** an example,we might localize the ground state as well as the position entropy densities of the1 st,2 nd,and 6 th excited states for a four-well quantum ***,we verify the Bialynicki–Birula–mycieslki（BBm）inequality.

关键词： position and momentum Shannon entropies multiple quantum well entropy densities