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991.
Bayesian approaches can be used to improve ill-posed image reconstruction by regularizing the inverse solution using spacial or temporal neighborhood information. This paper proposes a prior with adaptively binary neighborhood (ABN prior) for statistical tomographic reconstruction. With binary weight map adapted to local image features, the proposed prior can lead to improved reconstruction by including relevant pixels belonging to similar structures and excluding those not. A two-step algorithm is also put forward for tomographic reconstruction using the proposed prior. Experiments using both simulated and clinical computerized tomography (CT) data are performed to validate the reconstructions with the proposed ABN prior. 相似文献
992.
We derive an analytical solution to the stress concentration factor (kt) for slightly roughened random surfaces. Topology is assumed to possess Gaussian distribution of heights and auto correlation length, ACL . For our development, we combine Gao’s first-order perturbation method, the Hilbert transform, and an energy conservation principal related to the Parseval theorem.The root-mean-square (RMS) value of kt results in a function of the ratio RMS-roughness to ACL. The derived formula agrees with experimental results previously reported. The results provide insight for more efficient design. 相似文献
993.
The response analysis from hybrid uncertain structural-acoustic systems with random and interval variables (HUSAS) plays an important role in the optimal design of structural-acoustic systems. In this work, a hybrid uncertain numerical method known as the change-of-variable interval stochastic perturbation method (CVISPM) is proposed to predict the interval of the response probability density function and the response confidence interval of a HUSAS. This method is based on perturbation analysis and the change-of-variable technique. In the proposed method, the response of a HUSAS is approximated as a linear function of random variables using the stochastic perturbation analysis. According to the approximated linear relationships between the response and the random variables, the change-of-variable technique is introduced to calculate the response probability density function. Based on the response probability density function, the interval perturbation approach is used to predict the interval of the response probability density function and the response confidence interval. A numerical example of a shell structural-acoustic system with random and interval variables was employed to verify the effectiveness and precision of the proposed method. 相似文献
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995.
Abstract We introduce and analyze a delayed renewal process = {τ0,τ1,…} marked by a multivariate random walk (,) and its behavior about fixed levels to be crossed by one of the components of (,). We derive the joint distribution of first passage time τρ, pre-exit time τρ?1 (i.e., the instant one phase prior to the first passage time), and the respective values of (,) at τρ and τρ?1 in a closed form. The results obtained are then applied to a multivariate quasi Poisson process Π, forming a random walk ((Π),) embedded in Π over . Processes like these can model various phenomena including stock market and option trading. One of the central issues in the investigation of ((Π),) is to obtain the information about Π at any moment of time in random vicinities of τρ and τρ?1 previously available only upon . The results offer, again, closed form functionals. Numerous examples throughout the paper illustrate introduced constructions and connect the results with real-world applications, most prominently the stock market. 相似文献
996.
Mario Abundo 《随机分析与应用》2013,31(6):1119-1145
Abstract We study the limit at zero of the first-passage time density of a one-dimensional diffusion process over a moving boundary and we also deal with the inverse first-passage time problem, which consists of determining the boundary shape when the first-passage density is known. Our results generalize the analogous ones already known for Brownian motion. We illustrate some examples for which the results are obtained analytically and by a numerical procedure. 相似文献
997.
Xiaoming Fan 《随机分析与应用》2013,31(4):767-793
Abstract The existence of compact random attractors is proved for a damped stochastic wave equation of Sine–Gordon type with sublinear multiplicative noise under homogeneous Dirichlet boundary condition. To be important, in this note a precise estimate of upper bound of Hausdorff dimension of the random attractors is obtained in lower dimension. 相似文献
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Tony Shardlow 《随机分析与应用》2013,31(5):857-869
This paper examines the geometric ergodicity of a semin-linear parabolic PDE forced by a Wiener process on a separable Hilbert space. Under a dissipative assumption on the vector field and a non-degeneracy assumption on the noise, geometric ergodicity is proved with respect to the class of measurable functions bounded by 1+‖·‖2The theorems apply under general conditions on the noise, both additive and multiplicative cases being considered, and apply for instance to a dissipative reaction-diffusion equation on [0,1] with a globally Lipschitz nonlinearity when forced by additive space-time white noise 相似文献