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991.
992.
The topological optimization for truss structures with stress constraints based on the exist-null combined model 总被引:7,自引:0,他引:7
A new exist-null combined model is proposed for the structural topology optimization. The model is applied to the topology
optimization of the truss with stress constraints. Satisfactory computational result can be obtained with more rapid and more
stable convergence as compared with the cross-sectional optimization. This work also shows that the presence of independent
and continuous topological variable motivates the research of structural topology optimization.
The project supported by the State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology. 相似文献
993.
计算具有区间参数结构的固有频率的优化方法 总被引:7,自引:0,他引:7
基于区间函数的单向包含性质,把具有区间非确定参数结构的固有频率所在区间范围问题
转化成两个全局优化问题,并采用一种实数编码遗传算法求取问题的全局解. 用一种能够求
得剪切型结构和弹簧质量系统特征值范围精确解的单调分析方法进行检验. 在一
些文献中,直接采用区间数运算法则和有限元法得到结构区间刚度阵和区间质量阵,并把关
于该区间刚度阵和区间质量阵的广义区间特征值问题的特征值区间作为待求的非确定性结构
的特征值所在的区间范围,该方法易于扩大问题的解域. 算例表明,可望得到结构
固有频率区间范围的准确解. 相似文献
994.
Motivated by optimization problems in structural engineering, we study the critical points of symmetric, ‘reflected', one-parameter
family of potentials U(p, x) = max (f(p,x), f(p, −x)), yielding modest generalizations of classical bifurcations, predicted by elementary catastrophe theory. One such generalization
is the ‘five-branch pitchfork’, where the symmetric optimum persists beyond the critical parameter value. Our theory may help
to explain why symmetrical structures are often optimal. 相似文献
995.
In stochastic optimization models, the optimal solution heavily depends on the selected probability model for the scenarios. However, the scenario models are typically chosen on the basis of statistical estimates and are therefore subject to model error. We demonstrate here how the model uncertainty can be incorporated into the decision making process. We use a nonparametric approach for quantifying the model uncertainty and a minimax setup to find model-robust solutions. The method is illustrated by a risk management problem involving the optimal design of an insurance contract. 相似文献
996.
997.
M. Hladík 《Optimization》2017,66(3):331-349
We consider a linear regression model where neither regressors nor the dependent variable is observable; only intervals are available which are assumed to cover the unobservable data points. Our task is to compute tight bounds for the residual errors of minimum-norm estimators of regression parameters with various norms (corresponding to least absolute deviations (LAD), ordinary least squares (OLS), generalized least squares (GLS) and Chebyshev approximation). The computation of the error bounds can be formulated as a pair of max–min and min–min box-constrained optimization problems. We give a detailed complexity-theoretic analysis of them. First, we prove that they are NP-hard in general. Then, further analysis explains the sources of NP-hardness. We investigate three restrictions when the problem is solvable in polynomial time: the case when the parameter space is known apriori to be restricted into a particular orthant, the case when the regression model has a fixed number of regression parameters, and the case when only the dependent variable is observed with errors. We propose a method, called orthant decomposition of the parameter space, which is the main tool for obtaining polynomial-time computability results. 相似文献
998.
In this paper, we use techniques which originate from proof mining to give rates of asymptotic regularity and metastability for a sequence associated to the composition of two firmly nonexpansive mappings. 相似文献
999.
In this article, we consider a portfolio optimization problem of the Merton’s type with complete memory over a finite time horizon. The problem is formulated as a stochastic control problem on a finite time horizon and the state evolves according to a process governed by a stochastic process with memory. The goal is to choose investment and consumption controls such that the total expected discounted utility is maximized. Under certain conditions, we derive the explicit solutions for the associated Hamilton–Jacobi–Bellman (HJB) equations in a finite-dimensional space for exponential, logarithmic, and power utility functions. For those utility functions, verification results are established to ensure that the solutions are equal to the value functions, and the optimal controls are also derived. 相似文献
1000.
Rui Shen Zhiqing Meng Chuangyin Dang Min Jiang 《Numerical Functional Analysis & Optimization》2017,38(11):1473-1489
In this paper, an algorithm of barrier objective penalty function for inequality constrained optimization is studied and a conception–the stability of barrier objective penalty function is presented. It is proved that an approximate optimal solution may be obtained by solving a barrier objective penalty function for inequality constrained optimization problem when the barrier objective penalty function is stable. Under some conditions, the stability of barrier objective penalty function is proved for convex programming. Specially, the logarithmic barrier function of convex programming is stable. Based on the barrier objective penalty function, an algorithm is developed for finding an approximate optimal solution to an inequality constrained optimization problem and its convergence is also proved under some conditions. Finally, numerical experiments show that the barrier objective penalty function algorithm has better convergence than the classical barrier function algorithm. 相似文献