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51.
Rolando Cavazos-Cadena 《Annals of Operations Research》1991,28(1):169-184
We consider a class of Markov decision processes withfinite state and action spaces which, essentially, is determined by the following condition: The state space isirreducible under the action of any stationary policy. However, except by this restriction, the transition law iscompletely unknown to the controller. In this context, we find a set of policies under which thefrequency estimators of the transition law are strongly consistent and then, this result is applied to constructadaptive asymptotically discount-optimal policies.Dedicated to Professor Truman O. Lewis, on the occasion of his sixtieth birthdayThis research was supported in part by the Third World Academy of Sciences (TWAS) under Grant TWAS RG MP 898-152, and in part by the Consejo Nacional de Ciencia y Tecnología (CONACYT) under Grant A128CCOEO550 (MT-2). 相似文献
52.
53.
白中治等提出了解非埃尔米特正定线性方程组的埃尔米特和反埃尔米特分裂(HSS)迭代方法(Bai Z Z,Golub G H,Ng M K.Hermitian and skew-Hermitian splitting methodsfor non-Hermitian positive definite linear systems.SIAM J.Matrix Anal.Appl.,2003,24:603-626).本文精确地估计了用HSS迭代方法求解广义鞍点问题时在加权2-范数和2-范数下的收缩因子.在实际的计算中,正是这些收缩因子而不是迭代矩阵的谱半径,本质上控制着HSS迭代方法的实际收敛速度.根据文中的分析,求解广义鞍点问题的HSS迭代方法的收缩因子在加权2-范数下等于1,在2-范数下它会大于等于1,而在某种适当选取的范数之下,它则会小于1.最后,用数值算例说明了理论结果的正确性. 相似文献
54.
55.
Shao-Ying Meng 《中国物理 B》2022,31(2):28702-028702
It is generally believed that, in ghost imaging, there has to be a compromise between resolution and visibility. Here we propose and demonstrate an iterative filtered ghost imaging scheme whereby a super-resolution image of a grayscale object is achieved, while at the same time the signal-to-noise ratio (SNR) and visibility are greatly improved, without adding complexity. The dependence of the SNR, visibility, and resolution on the number of iterations is also investigated and discussed. Moreover, with the use of compressed sensing the sampling number can be reduced to less than 1% of the Nyquist limit, while maintaining image quality with a resolution that can exceed the Rayleigh diffraction bound by more than a factor of 10. 相似文献
56.
K. Schroeder 《辐射效应与固体损伤》2013,168(1-2):103-118
The problem of annealing of Frenkel-pairs in electron irradiated fee metals due to diffusion of interstitials is treated starting from exact equations for single particle densities, pair densities, etc. The mobile interstitials are considered to interact with vacancies (leading to recombination), impurity atoms (leading to interstitial-impurity complexes) and with each other (leading to interstitial clusters). By using the superposition approximation, i.e. replacing three-particle probabilities by products of two-particle probabilities we obtain generalized Waite equations. For low defect densities the annealing is at different times governed by different processes. For short times the important process is the recombination of an interstitial with the near-by correlated vacancy generated by the same electron impact event, the so-called correlated recovery. For long times the remaining interstitials undergo long range migration and interact with uncorrelated sinks. During this process interstitial impurity complexes and interstitial clusters are formed. The time dependence of the defect densities, the remaining fraction of defects after completion of diffusion annealing and the size distribution of interstitial clusters are calculated. Detailed comparison with experiments in Cu and Pt will be made. 相似文献
57.
BinayakS.Choudhury 《分析论及其应用》2003,19(2):99-107
In the present paper we introduce a random iteration scheme for three random operators defined on a closed and convex subset of a uniformly convex Banach space and prove its convergence to a common fixed point of three random operators. The result is also an extersion of a known theorem in the corresponding non-random case. 相似文献
58.
再论求导数零点的二次收敛迭代法 总被引:3,自引:0,他引:3
一维搜索是最优化理论数值计算的一个基本问题,它可归结为求定义在开凸区域D上的可微函数 f的导数零点.若用 Newton法求导数零点,则涉及到二阶导数的计算.若用带导数的三次插值法则需要开平方的计算[1].为了克服上述问题,本文作者之一在 1979年[2]首次提出了下述具有二阶收敛速度的迭代法:通常,我们称迭代法(0.1)为基于信息集(f(xn),f’(xn),f(xn-1),f’(xn-1)}的迭代法,而δ(fxy)是基于信息集{f(x),f'(x),f(y),F'(y))}的三次插值多项式在x处… 相似文献
59.
A modified extended-ptychographical-iterative-engine (ePIE) algorithm is proposed to overcome the dis- advantages of ePIE technique and reduce the influence of stage hysteresis or backlash error. The exit wave of a rotatable "screen" illuminated by plane wave is used as the illumination on the specimen, and the complex transmission functions of the rotatable object and specimen can be simultaneously reconstructed. Compared with the standard x - y scanning PIE algorithm, the proposed algorithm can completely avoid the influence of stage hysteresis (or backlash error). The proposed algorithm also has higher convergence s!oeed and better accuracy than the standard PIE algorithm. 相似文献
60.
解不适定算子方程的一个定常二步隐式迭代法 总被引:1,自引:0,他引:1
1.引言 设X,Y是两个Hilbert空间,A:X→Y是有界线性算子,考虑算子方程 Ax=y(1.1)如果A的值域R(A)在Y中非闭,则方程(1.1)是不适定的[1].许多应用科学中都归结出这一类方程,特别地,许多反问题是不适定的[2,3].本文考虑方程(1.1)的 Moore-Penrose广义解,这里A是算子A的Moore-Penrose广义逆[1].A+y存在当且仅当本文均作这一假设.在实际中,通常代替(1.1)的是扰动方程这里右端项,为一给定的误差水平,Q是Y到R(A)的正交投影算子.对扰… 相似文献