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991.
K.S. Charak 《Journal of Mathematical Analysis and Applications》2009,353(1):43-48
We prove two normality criteria for a family of meromorphic functions satisfying a certain differential condition and provide a counterexample to the converse of the Bloch principle. 相似文献
992.
A nonlinear optimal impulsive control problem with trajectories of bounded variation subject to intermediate state constraints at a finite number on nonfixed instants of time is considered. Features of this problem are discussed from the viewpoint of the extension of the classical optimal control problem with the corresponding state constraints. A necessary optimality condition is formulated in the form of a smooth maximum principle; thorough comments are given, a short proof is presented, and examples are discussed. 相似文献
993.
给出四元素Heisenberg群上次Laplace算子的平均值定理,并用其导出Hardy不等式和不确定原理. 相似文献
994.
基于离散近似迭代法的多阶段M-V投资组合优化 总被引:2,自引:0,他引:2
张鹏 《数学的实践与认识》2009,39(8)
提出了离散近似迭代方法,并用该方法求解具有交易成本和交易量限制的多阶段均值-方差(M-V)投资组合模型.离散近似迭代方法的基本思路为:首先,将连续型状态变量离散化,根据网络图的构造方法将上述模型转化多阶段赋权有向图;其次,运用嘉量原理求出起点至终点的最长路程,即获得模型的一个可行解;最后,以该可行解为基础,继续迭代直到前后两个可行解非常接近.还证明了该方法的收敛性和复杂性. 相似文献
995.
对于货运列车的编组调度问题,建立了以压缩中时和增加运量为双目标、多约束的0-1规划模型,采用逐步紧缩中时约束的方法得到了问题一的调度方案.在此基础上对装载特别物资的车辆施加更强的中时约束得到了问题二的调度方案.提出了列车匹配系数的概念并建立了列车最优配对原则,根据该原则对列车进行优化编组得到了问题三的调度方案.基于问题二的数据转换处理得到了问题四的调度方案. 相似文献
996.
QingXin Meng 《中国科学A辑(英文版)》2009,52(7):1579-1588
The paper is concerned with a stochastic optimal control problem in which the controlled system is described by a fully coupled
nonlinear forward-backward stochastic differential equation driven by a Brownian motion. It is required that all admissible
control processes are adapted to a given subfiltration of the filtration generated by the underlying Brownian motion. For
this type of partial information control, one sufficient (a verification theorem) and one necessary conditions of optimality
are proved. The control domain need to be convex and the forward diffusion coefficient of the system can contain the control
variable.
This work was partially supported by Basic Research Program of China (Grant No. 2007CB814904), National Natural Science Foundation
of China (Grant No. 10325101) and Natural Science Foundation of Zhejiang Province (Grant No. Y605478, Y606667) 相似文献
997.
Alexandre X. Martins Mauricio C. de Souza Marcone J. F. Souza Túlio A. M. Toffolo 《Journal of Heuristics》2009,15(2):133-151
We propose a GRASP using an hybrid heuristic-subproblem optimization approach for the Multi-Level Capacitated Minimum Spanning
Tree (MLCMST) problem. The motivation behind such approach is that to evaluate moves rearranging the configuration of a subset
of nodes may require to solve a smaller-sized MLCMST instance. We thus use heuristic rules to define, in both the construction
and the local search phases, subproblems which are in turn solved exactly by employing an integer programming model. We report
numerical results obtained on benchmark instances from the literature, showing the approach to be competitive in terms of
solution quality. The proposed GRASP have in fact improved the best known upper bounds for almost all of the considered instances. 相似文献
998.
The regioselectivity of 1,3-dipolar cycloadditions between (4-substituted)benzonitrile oxides and methyl propiolate cannot be rationalized on the basis of the electron demand of the reactants or frontier molecular-orbital theory. To this problem, we have applied a quantitative formulation of the hard-soft acid-base principle developed within the density functional theory. Global and local reactivity indices were computed at B3LYP/6-311+G(d,p) level. The details of charge transfer upon the reactive encounter have been elucidated, and the computed regioselectivity has been shown to be in good agreement with experimental data. 相似文献
999.
Christopher G. Jesudason 《Journal of mathematical chemistry》2006,39(1):201-230
Chemical and other reaction theories involving thermodynamical equilibrium states utilize statistical mechanical equilibrium
density distributions. Here, a definition of heat-work transformation termed thermo-mechanical coherence is first made, and
it is conjectured that most molecular bonds have the above heat-work transformation property, which models a chemical bond
as a “centrifugal heat engine”, where the internal energy state need not correspond to any of the standard equilibrium densities.
Expressions are derived for the standard Gibbs free energy, enthalpy, and entropy where the bond coordinates need not conform
to a non-degenerate Boltzmann state, since bond breakdown and formation are processes that have direction, whereas equilibrium
distributions are derived when the Hamiltonian is of fixed form, which is not the case for chemical reactions using localized
Hamiltonians. The empirically determined Gibbs free energy from a known molecular dynamics simulation of a dimer reaction
, accords rather well with the theoretical estimate. A relation connecting the rate of reaction with the equilibrium constant
and other kinetic parameters is derived and could place the commonly observed linear relationship between the logarithms of
the rate constant and equilibrium constant on a firmer theoretical footing. These relationships could include analogues of
the Hammett correlations used extensively in physical organic chemistry, as well as others which are temperature dependent.
One prediction of the principles developed here is that the equilibrium standard reaction free energy is more dependent on
the height of the intermolecular potential than its depth, so that the sign of the ΔG
θ can change for varying barrier height with fixed well depth, which may appear counter-intuitive. All the above developments
can be tested directly in simulations and therefore provides a fertile ground for further research with significant implications
on how standard states are determined in relation to the direction of chemical reaction.This work treats the molecular bond
using standard thermodynamics as if it were a system, and it is anticipated that with the advent of single-molecule science
and experiment, that might be one direction in which molecular statistical thermodynamics would develop. 相似文献
1000.
The correspondence principle asserts that quantum mechanics resembles classical mechanics in the high-quantum-number limit. In the past few years, many papers have been published on the extension of both quantum mechanics and classical mechanics into the complex domain. However, the question of whether complex quantum mechanics resembles complex classical mechanics at high energy has not yet been studied. This paper introduces the concept of a local quantum probability density ρ(z) in the complex plane. It is shown that there exist infinitely many complex contours C of infinite length on which ρ(z) dz is real and positive. Furthermore, the probability integral is finite. Demonstrating the existence of such contours is the essential element in establishing the correspondence between complex quantum and classical mechanics. The mathematics needed to analyze these contours is subtle and involves the use of asymptotics beyond all orders. 相似文献