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71.
In this work we investigated the relative merits of conventional single-photon confocal laser scanning fluorescence microscopy (CLSM) and two-photon laser scanning fluorescence microscopy (2p-LSM) for the study of mitochondria in living neurons. Dorsal root ganglion neurons were loaded with the mitochondrion-specific fluorescent dye JC-1, the ratio between red (J-aggregates) and green (monomer) fluorescence of which reflects mitochondrial membrane potential. Cells were illuminated at 488 nm for single-photon excitation or at 870 nm for two-photon excitation. In both modalities we found that mitochondria showed: (i) similar appearance; (ii) similar fluorescence ratio values over both whole cell bodies and individual mitochondria; and (iii) similar responses to mitochondrial uncoupler, which dropped the ratio values by 50%. However, 2p-LSM exhibited several advantages over CLSM: (i) better signal/noise ratio in the green emission channel; (ii) less phototoxicity upon repetitive scanning in the focal plane; and (iii) no significant loss of image quality upon repetitive scans in the z direction. We conclude that, while both techniques enable visualisation of individual mitochondria in living cells, 2p-LSM has significant advantages for physiological work requiring time-lapse experiments or four-dimensional reconstructions of mitochondria. 相似文献
72.
73.
Let Z = {Z0, Z1, Z2,…} be a martingale, with difference sequence X0 = Z0, Xi = Zi ? Zi ? 1, i ≥ 1. The principal purpose of this paper is to prove that the best constant in the inequality λP(supi |Xi| ≥ λ) ≤ C supiE |Zi|, for λ > 0, is C = (log 2)?1. If Z is finite of length n, it is proved that the best constant is . The analogous best constant Cn(z) when Z0 ≡ z is also determined. For these finite cases, examples of martingales attaining equality are constructed. The results follow from an explicit determination of the quantity Gn(z, E) = supzP(maxi=1,…,n |Xi| ≥ 1), the supremum being taken over all martingales Z with Z0 ≡ z and E|Zn| = E. The expression for Gn(z,E) is derived by induction, using methods from the theory of moments. 相似文献
74.
吸气式高超声速飞行器气动力气动热的数值模拟方法及应用 总被引:1,自引:0,他引:1
对吸气式高超声速飞行器而言,物面热流和摩阻的准确预测对飞行器设计及安全十分关键.介绍采用CFD准确预测气动力和气动热的方法,包括流动的控制方程、湍流模型及湍流的先进壁面函数边界条件,介绍流动的数值求解方法.对典型超声速层流和湍流流动的摩擦阻力和热流进行详细的验证与确认,考察CFD工具在使用先进壁面函数边界条件后,湍流计算的法向网格无关性能力.对设计的一种吸气式高超声速飞行器的气动力和气动热进行数值模拟,为飞行器的气动设计及热防护提供了可靠的数据. 相似文献
75.
The linear absorption of CO2 laser radiation in SF6, WF6, and UF6 has been measured by using optoacoustic detection techniques. Absolute absorption coefficients per Torr as low as 1 × 10?7 cm?1 Torr?1 in a 2-cm active path length could be measured by taking advantage of calibration measurements performed with SF6. 相似文献
76.
单调性条件在Fourier级数收敛性中的最终推广:历史、发展、应用和猜想 总被引:1,自引:0,他引:1
为了对Fourier级数进行近似计算和有效应用,必须研究其收敛性,这个课题有长久的历史,形成了数学分析中吸引包括许多著名数学家在内的学者研究的一条热烈但困难的主流.其中,在三角级数(Fourier级数)一致收敛性和平均收敛性问题中人们一直关心Fourier系数的单调递减条件最终的推广.这个开始于英国Chaundy-Jollife(1916年)和Young(1913年)的工作最近出现了突破性的进展,产生了许多完善的结果.本文将对这方面的历史、发展给出综述,并重点介绍最近的应用成果,并对以后的工作给出研究思路和线索. 相似文献
77.
78.
Summary We prove large deviation theorems for occupation time functionals of independent random walks started from a Poisson field on Z
d. In dimensions 1 and 2 the large deviation tails are larger than exponential. Exact asymptotics are derived.Partially supported by the National Science Foundation under Grant MCS 81-02131 and MCS 81-00256Alfred P. Sloan Research Fellow 相似文献
79.
M. G. Cox 《Numerical Algorithms》1993,5(3):133-154
This paper addresses a fundamental problem in mathematics and numerical analysis, that of determining a polynomial interpolant to specified data. The data is taken as consisting of a set of points (abscissae), at each of which is specified a function value. Additionally, at each point, any number of leading derivative values of the function may be given.
Mathematically, this problem is solved. The classical Lagrangian interpolation formula applies in the derivative-free case, and the Newton form of the interpolating polynomial in general.Numerically, few reliable algorithms are available; most published algorithms concentrate on speed of computation. This paper describes an algorithm that delivers the required polynomial in Chebyshev form. It is based on the repeated use of the Newton representation, with a data ordering strategy and iterative refinement to improve accuracy, using a carefully devised merit function to measure success. The algorithm attempts to provide a polynomial that is stable in the sense of backward error analysis, i.e. that is exact for slightly perturbed data.Implementations of the algorithm have been in use since the early 1980s in the NAG Library and NPL's Data Approximation Subroutine Library (DASL). In addition to providing polynomial interpolants in their own right, these implementations are used as computational modules in the NAG and DASL routines for constrained least-squares polynomial data fitting.This paper constitutes the first detailed presentation of the algorithm. 相似文献
80.