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排序方式: 共有288条查询结果,搜索用时 31 毫秒
241.
本文研究了一类拟线性系统,引入了反周期边值条件,基于反周期边值条件和数学分析的技巧,建立了新的Lyapunov不等式. 相似文献
242.
Lagrangian methods are popular in solving continuous constrained optimization problems. In this paper, we address three important issues in applying Lagrangian methods to solve optimization problems with inequality constraints.First, we study methods to transform inequality constraints into equality constraints. An existing method, called the slack-variable method, adds a slack variable to each inequality constraint in order to transform it into an equality constraint. Its disadvantage is that when the search trajectory is inside a feasible region, some satisfied constraints may still pose some effect on the Lagrangian function, leading to possible oscillations and divergence when a local minimum lies on the boundary of the feasible region. To overcome this problem, we propose the MaxQ method that carries no effect on satisfied constraints. Hence, minimizing the Lagrangian function in a feasible region always leads to a local minimum of the objective function. We also study some strategies to speed up its convergence.Second, we study methods to improve the convergence speed of Lagrangian methods without affecting the solution quality. This is done by an adaptive-control strategy that dynamically adjusts the relative weights between the objective and the Lagrangian part, leading to better balance between the two and faster convergence.Third, we study a trace-based method to pull the search trajectory from one saddle point to another in a continuous fashion without restarts. This overcomes one of the problems in existing Lagrangian methods that converges only to one saddle point and requires random restarts to look for new saddle points, often missing good saddle points in the vicinity of saddle points already found.Finally, we describe a prototype Novel (Nonlinear Optimization via External Lead) that implements our proposed strategies and present improved solutions in solving a collection of benchmarks. 相似文献
243.
一类对称函数不等式的加细和推广 总被引:8,自引:1,他引:7
石焕南 《数学的实践与认识》1999,29(4):81-84
利用控制不等式理论加细和推广了一类对称函数不等式,并给出一个几何应用。 相似文献
244.
Let be the Kaplan-Meier estimator of distribution function F. Let J(˙) be a measurable real-valued function. In this paper, a U-statistic representation for the Kaplan-Meier L-estimator, , is derived. Furthermore, the representation is also used to establish a Berry-Essen inequality for .
Received September 28, 1998, Accepted March 10, 1999 相似文献
245.
A technical framework of constructing a linear controller for
chaotic synchronization by utilizing the stability theory of
cascade-connected system is presented. Based on the method developed
in the paper, two simple and linear feedback controllers, as
examples, are derived for the synchronization of Liu chaotic system
and Duffing oscillator, respectively. This method is quite flexible
in constructing a control law. Its effectiveness is also illustrated
by the simulation results. 相似文献
246.
In this paper, we establish a generalization of Hadamard's inequality to r-convex functions on Carnot groups. 相似文献
247.
Quô´c-Anh Ngô 《Applied mathematics and computation》2009,213(2):322-328
In this short paper, we present time scales version of mean value theorems for integrals in the single variable case. 相似文献
248.
In this paper we investigate a computational approach to keeping a moving particle within a predefined annulus or a predefined bounded space, formed by two concentric spheres with radii Lmin and Lmax, respectively, assuming that said particle cannot maintain a perfectly circular trajectory. The study develops an algorithm for dealing with a system in which constraints are expressed as inequalities. The proposed approach expresses the trajectory in terms of winding/unwinding logarithmic spirals with transitions, expressed as damped vibrations, between them. These transitions are necessary to resolve incompatibility between initial conditions for winding/unwinding spirals. Equations of motion for the particle are obtained by using the Fundamental Equation of Constrained Motion. The obtained simulation results show that such an approach produces the desired pseudo-periodic type of motion, and the particle stays within the predefined region of space for a long duration, although no cycle of its trajectory is repeated. 相似文献
249.
Many, if not most, economies are observed to exhibit some form of collective ownership with some goods. These economies may fail to be socially stable, in the sense that the economy has an empty core; some groups may have an incentive to ‘recontract out’. We show that, for a class of economies with collective ownership, sufficient ‘specialization’ in the endowment holdings of these economies gives rise to a non-empty core, so achieving social stability. It is shown, moreover, that reductions in income inequality are consistent with social stability, to the extent that these reductions preserve or increase ‘specialization’ in the economy. Finally, we show that our notion of specialization is not limited to the privatized sector of the economy. Even in economies in which there is no privately held property, sufficient specialization guarantees that the economy is socially stable. 相似文献
250.
Error bounds in mathematical programming 总被引:22,自引:0,他引:22
Jong-Shi Pang 《Mathematical Programming》1997,79(1-3):299-332
Originated from the practical implementation and numerical considerations of iterative methods for solving mathematical programs,
the study of error bounds has grown and proliferated in many interesting areas within mathematical programming. This paper
gives a comprehensive, state-of-the-art survey of the extensive theory and rich applications of error bounds for inequality
and optimization systems and solution sets of equilibrium problems.
This work is based on research supported by the U.S. National Science Foundation under grant CCR-9624018. 相似文献