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121.
Ji-pu Ma Tseng Yaun Rong Functional Analysis Research Center Harbin Normal University Harbin China 《中国科学A辑(英文版)》2007,50(9):1233-1239
Let E, F be two Banach spaces, and B(E, F), Φ(E, F), SΦ(E, F) and R(E,F) be the bounded linear, Fredholm, semi-Frdholm and finite rank operators from E into F, respectively. In this paper, using the continuity characteristics of generalized inverses of operators under small perturbations, we prove the following result Let ∑ be any one of the following sets {T ∈ Φ(E, F) IndexT =const, and dim N(T) = const.}, {T ∈ SΦ(E, F) either dim N(T) = const. < ∞ or codim R(T) = const.< ∞} and {T ∈ R(E, F) RankT =const.<∞}. Then ∑ is a smooth submanifold of B(E, F) with the tangent space TA∑ = {B ∈ B(E,F) BN(A) (∪) R(A)} for any A ∈ ∑. The result is available for the further application to Thom's famous results on the transversility and the study of the infinite dimensional geometry. 相似文献
122.
This paper seeks to solve the difficult nonlinear problem in financial markets on the complex system theory and the nonlinear
dynamics principle, with the data-model-concept-practice issue-oriented reconstruction of the phase space by the high frequency
trade data. In theory, we have achieved the differentiable manifold geometry configuration, discovered the Yang-Mills functional
in financial markets, obtained a meaningful conserved quantity through corresponding space-time non-Abel localization gauge
symmetry transformation, and derived the financial solitons, which shows that there is a strict symmetry between manifold
fiber bundle and guage field in financial markets. In practical applications of financial markets, we have repeatedly carried
out experimental tests in a fluctuant evolvement, directly simulating and validating the existence of solitons by researching
the price fluctuations (society phenomena) using the same methods and criterion as in natural science and in actual trade
to test the stock Guangzhou Proprietary and the futures Fuel Oil in China. The results demonstrate that the financial solitons
discovered indicates that there is a kind of new substance and form of energy existing in financial trade markets, which likely
indicates a new science paradigm in the economy and society domains beyond physics.
相似文献
123.
现代热力学的完整分类系统--非平衡非耗散热力学新领域 总被引:1,自引:0,他引:1
在同一体系中同时有多个不可逆过程时,不可逆过程之间会有相互影响,原来的非自发过程有可能在其他自发过程的影响下得以进行,这种现象就称为热力学耦合或反应耦合,长期以来,经典热力学把热力学第二定律的等式作为平衡体系的充分必要条件,其中隐含了一个前提性的假定,即经典热力学的对象只限于非耦合的体系,摈弃这一隐含的前提性假定以后,热力学自身就发展成为一个现代热力学的完整学术体系,适用于任何宏观体系(包括极其复杂的生命体系),现代热力学的完整学术体系中包含了一个崭新的非平衡非耗散热力学新领域,由于该领域属于热力学第二定律的等式部分,因此可以定量计算,并得到一系列理论计算的非平衡相图,与文献上报道的激尖低压金刚石合成等的大量实验数据相符。 相似文献
124.
We study linear dynamical systems with multidimensional time in Banach spaces. Using Taylor functional calculus we prove that under additional assumptions hyperbolic systems have shadowing property. 相似文献
125.
After more than 20 years of impressive development since the economic reforms in 1978, today western China is facing an increasing
development gap between its regions, particularly between urban and rural areas. Using the fuzzy comprehensive evaluation
model, this paper aims to demonstrate the evolution of the economic competitiveness levels base on two categories of geographical
unity in the province of Gansu located in Northwest China between 2000 and 2004. The results of fuzzy modeling are integrated
into GIS spatiotemporal analyses in order to identify the spatial variation of each significant change in terms of the regional
economic development. Our research effectively illustrates that there is a particular spatial dynamic of the economic development
from region to region. Although the cities have improved very well in their economic competitiveness, the rural areas and
minority regions still have a lot of progress to be achieved. 相似文献
126.
Protection of iron corrosion by stearic acid and stearic imidazoline self-assembled monolayers 总被引:4,自引:0,他引:4
A type of stearic imidazoline (IM) inhibitor was prepared using stearic acid (SA) and diethylenetriamine (DETA) as raw materials. The monolayers of IM and SA were assembled on the iron surface. The electrochemical characterization of stearic acid (SA) and stearic imidazoline (IM) on an oxide free iron surface had been studied. The monolayers of IM inhibitor were characterized by electrochemical impedance spectroscopy (EIS), electrochemical polarization curves, double layer capacitance, X-ray photoelectron spectroscopy (XPS) and molecular simulation. The results of electrochemical studies had illustrated that the inhibition efficiency of IM was higher than SA. XPS showed that the IM molecules adsorbed on the iron surface. The molecular simulation calculations showed that the IM molecules were tilted at an angle on the iron surface. 相似文献
127.
We consider the 3D Navier–Stokes equation with generalized impermeability boundary conditions. As auxiliary results, we prove the local in time existence of a strong solution (‘strong’ in a limited sense) and a theorem on structure. Then, taking advantage of the boundary conditions, we formulate sufficient conditions for regularity up to the boundary of a weak solution by means of requirements on one of the eigenvalues of the rate of deformation tensor. Finally, we apply these general results to the case of an axially symmetric flow with zero angular velocity. 相似文献
128.
129.
Fe-doped TiO2 powder was prepared by high-energy ball milling, using TiO2 Degussa P-25 and α-Fe powders as the starting materials. The structure and magnetic properties of the Fe-doped TiO2 powder were studied by X-ray diffraction, 57Fe Mossbauer spectroscopy and vibrating sample magnetometer. The Reitveld refinement of XRD revealed that ball milling not only triggered incorporation of Fe in TiO2 lattice but also induced the phase transformation from anatase to rutile in TiO2 and consequently the milled Fe-doped TiO2 powder contained only rutile.57Fe Mössbauer effect measure showed that Fe atoms existed in Fe2+ and Fe3+ state, which were assigned to the solid solution FexTi1−xO2. The magnetization measurements indicated that the milled Fe-doped TiO2 powder was ferromagnetic above room temperature. The ferromagnetism in our milled Fe-doped TiO2 powder seemingly does not come from Fe and iron oxides particles/clusters but from the Fe-doped TiO2 powder matrices. 相似文献
130.