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61.
In this paper, we derive non-exponential asymptotic forms for solutions of defective renewal equations. These include as special
cases asymptotics for compound geometric distribution and the convolution of a compound geometric distribution with a distribution
function. As applications of these results, we study the Gerber-Shiu discounted penalty function in the classical risk model
and the reliability of a two-unit cold standby system in reliability theory.
相似文献
62.
A successive quadratic programming algorithm with global and superlinear convergence properties 总被引:6,自引:0,他引:6
Masao Fukushima 《Mathematical Programming》1986,35(3):253-264
This paper presents a successive quadratic programming algorithm for solving general nonlinear programming problems. In order to avoid the Maratos effect, direction-finding subproblems are derived by modifying the second-order approximations to both objective and constraint functions of the problem. We prove that the algorithm possesses global and superlinear convergence properties.This work was supported in part by a Scientific Research Grant-in-Aid from the Ministry of Education, Science and Culture, Japan. 相似文献
63.
NONLINEAR EXPECTATIONS AND NONLINEAR MARKOV CHAINS 总被引:2,自引:1,他引:2
PENG Shige 《数学年刊B辑(英文版)》2005,26(2):159-184
§1.IntroductionLet(?,F)be a measurable space and let Lb(F)be the space of F-measurable andbounded real functions.A nonlinear expectation is a continuous functionalE[·]:Lb(F)?→Rthat is order preserving(i.e.,E[X1]≥E[X2],if X1≥X2)and constant preserving 相似文献
64.
A.B.El-Rayes AbdEl-MoneimA.Mohamed HamdyM.AbouGabal 《数学物理学报(B辑英文版)》2003,23(3):321-327
A target is assumed to move according to a Brownian motion on the real line. The searcher starts from the origin and moves in the two directions from the starting point.The object is to detect the target. The purpose of this paper is to find the conditions under which the expected value of the first meeting time of the searcher and the target is finite,and to show the existence of a search plan which made this expected value minimum. 相似文献
65.
66.
Exact Penalty Functions for Convex Bilevel Programming Problems 总被引:2,自引:0,他引:2
Liu G. S. Han J. Y. Zhang J. Z. 《Journal of Optimization Theory and Applications》2001,110(3):621-643
In this paper, we propose a new constraint qualification for convex bilevel programming problems. Under this constraint qualification, a locally and globally exact penalty function of order 1 for a single-level reformulation of convex bilevel programming problems is given without requiring the linear independence condition and the strict complementarity condition to hold in the lower-level problem. Based on these results, locally and globally exact penalty functions for two other single-level reformulations of convex bilevel programming problems can be obtained. Furthermore, sufficient conditions for partial calmness to hold in some single-level reformulations of convex bilevel programming problems can be given. 相似文献
67.
Pierre Maréchal 《Mathematical Programming》2001,89(3):505-516
It is well known that a function f of the real variable x is convex if and only if (x,y)→yf(y
-1
x),y>0 is convex. This is used to derive a recursive proof of the convexity of the multiplicative potential function. In this
paper, we obtain a conjugacy formula which gives rise, as a corollary, to a new rule for generating new convex functions from
old ones. In particular, it allows to extend the aforementioned property to functions of the form (x,y)→g(y)f(g(y)-1
x) and provides a new tool for the study of the multiplicative potential and penalty functions.
Received: June 3, 1999 / Accepted: September 29, 2000?Published online January 17, 2001 相似文献
68.
This paper concerns nonstationary continuous-time Markov control processes on Polish spaces, with the infinite-horizon discounted cost criterion. Necessary and sufficient conditions are given for a control policy to be optimal and asymptotically optimal. In addition, under suitable hypotheses, it is shown that the successive approximation procedure converges in the sense that the sequence of finite-horizon optimal cost functions and the corresponding optimal control policies both converge. 相似文献
69.
70.
《Operations Research Letters》2021,49(5):734-740
This paper describes the structure of optimal policies for infinite-state Markov Decision Processes with setwise continuous transition probabilities. The action sets may be noncompact. The objective criteria are either the expected total discounted and undiscounted costs or average costs per unit time. The analysis of optimality equations and inequalities is based on the optimal selection theorem for inf-compact functions introduced in this paper. 相似文献