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101.
102.
V. J. Ervin E. P. Stephan S. Abou El-Seoud 《Mathematical Methods in the Applied Sciences》1990,13(4):291-303
A weakly singular integral equation of the first kind on a plane surface piece Γ is solved approximately via the Galerkin method. The determination of the solution of this integral equation (with the single-layer potential) is a classical problem in physics, since its solution represents the charge density of a thin, electrified plate Γ loaded with some given potential. Using piecewise constant or piecewise bilinear boundary elements we derive asymptotic estimates for the Galerkin error in the energy norm and analyse the effect of graded meshes. Estimates in lower order Sobolev norms are obtained via the Aubin–Nitsche trick. We describe in detail the numerical implementation of the Galerkin method with both piecewise-constant and piecewise-linear boundary elements. Numerical experiments show experimental rates of convergence that confirm our theoretical, asymptotic results. 相似文献
103.
V. A. Dorin 《Russian Physics Journal》1973,16(11):1485-1488
It is shown that a selenium diode biased in the reverse direction is characterized by several features special to MIS structures. The effect of ionic processes in the MIS structure on the volt-amp characteristics is studied.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 7–11, November, 1973. 相似文献
104.
Ervin Gy. Szabó Mihály Hegeds József L. Margitfalvi 《Reaction Kinetics and Catalysis Letters》2008,93(1):119-125
Au/Al2O3 catalysts were modified by different redox metal oxides, such as FeOx, MnOx and CoOx, resulting in a pronounced activity increase in CO oxidation. 相似文献
105.
Garcia RM Song Y Dorin RM Wang H Li P Qiu Y van Swol F Shelnutt JA 《Chemical communications (Cambridge, England)》2008,(22):2535-2537
Hollow platinum nanospheres that are porous and have uniform shell thickness are prepared by templating platinum growth on polystyrene beads with an adsorbed porphyrin photocatalyst irradiated by visible light. 相似文献
106.
107.
Jennifer M. Kashmirian Alfred Uhlherr Alan Dorin David G. Green 《Journal of computational chemistry》2012,33(15):1364-1373
Molecular simulation models are increasingly important tools in efforts to understand the role that water plays in biochemical processes. However, existing models of water have limited capacity to deal with the characteristics of hydrogen bond networks. This article proposes a new fluctuating network (FN) algorithm as an extension of the standard molecular dynamics algorithm. The new algorithm allows for the simulation of a molecular system based on an underlying network, such as the hydrogen bond network in water. This algorithm distinguishes strong from weak network connections, applying a potential that best describes the specific connection behavior. We model liquid water with this new technique using a single‐site, isotropic, short‐range potential. We successfully reproduce liquid water's signature molecular spacing (as represented by the radial distribution function) and characterize its dynamic properties including the exponential hydrogen bond lifetime distribution, diffusion rate, and average hydrogen bonds per molecule. The FN algorithm allows exploration of the behavior of networked systems where explicit coordination limits are required. As such it could also be used to model covalent interactions, reaction dynamics, and applied to simulation of cellular networks. © 2012 Wiley Periodicals, Inc. 相似文献
108.
109.
Dorin Popescu 《代数通讯》2013,41(5):1789-1800
Let I be a principal p-Borel ideal of the polynomial ring S in variables x over a field. Then the Koszul homology module H 3(x;S/I) has binomial cycle bases. 相似文献
110.
We extend classical basis constructions from Fourier analysis to attractors for affine iterated function systems (IFSs). This
is of interest since these attractors have fractal features, e.g., measures with fractal scaling dimension. Moreover, the
spectrum is then typically quasi-periodic, but non-periodic, i.e., the spectrum is a “small perturbation” of a lattice. Due
to earlier research on IFSs, there are known results on certain classes of spectral duality-pairs, also called spectral pairs
or spectral measures. It is known that some duality pairs are associated with complex Hadamard matrices. However, not all
IFSs X admit spectral duality. When X is given, we identify geometric conditions on X for the existence of a Fourier spectrum, serving as the second part in a spectral pair. We show how these spectral pairs
compose, and we characterize the decompositions in terms of atoms. The decompositions refer to tensor product factorizations
for associated complex Hadamard matrices.
Research supported in part by a grant from the National Science Foundation DMS-0704191. 相似文献