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991.
利用双线性形式和重合度理论,研究了一类含有强迫项的Rayleigh曲型方程的反周期解,给出了反周期解存在和唯一的新的判据,所得结果改善了已有的工作. 相似文献
992.
We report rigorous quantum dynamics studies of the Li + HF reaction using the time-dependent wavepacket approach. The dynamics
study is carried out on a recent ab initio potential energy surface, and state-selected reaction probabilities and cross sections
are calculated up to 0.4 eV of collision energy. Many long-lived resonances (as long as 10 ps) at low collision energies (below
0.1 eV) are uncovered from the dynamics calculation. These long-lived resonances play a dominant role in the title reaction
at low collision energies (below 0.1 eV). At higher energies, the direct reaction process becomes very important. The reaction
probabilities from even rotational states exhibit a different energy dependence than those from odd rotational states. Our
calculated integral cross section exhibits a broad maximum near the collision energy of 0.26 eV with small oscillations superimposed
on the broad envelope which is reminiscent of the underlying resonance structures in reaction probabilities. The energy dependence
of the present CS cross section is qualitatively different from the simple J-shifting approximation, in which a monotonic increase of cross section with collision energy was obtained.
Received: 8 January 1997 / Accepted: 14 January 1997 相似文献
993.
In a recent paper (Allouch, in press) [5] on one dimensional integral equations of the second kind, we have introduced new collocation methods. These methods are based on an interpolatory projection at Gauss points onto a space of discontinuous piecewise polynomials of degree r which are inspired by Kulkarni’s methods (Kulkarni, 2003) [10], and have been shown to give a 4r+4 convergence for suitable smooth kernels. In this paper, these methods are extended to multi-dimensional second kind equations and are shown to have a convergence of order 2r+4. The size of the systems of equations that must be solved in implementing these methods remains the same as for Kulkarni’s methods. A two-grid iteration convergent method for solving the system of equations based on these new methods is also defined. 相似文献
994.
995.
996.
本文研究Cliford分析中广义双正则函数的一个非线性边值问题:A(t1,t2)W++(t1,t2)+B(t1,t2)W+-(t1,t2)+C(t1,t2)W-+(t1,t2)+D(t1,t2)W--(t1,t2)=g(t1,t2)ft1,t2,W++(t1,t2),W+-(t1,t2),W-+(t1,t2),W--(t1,t2)[].先讨论解的积分表示式,再研究几个奇异算子,最后用Schauder不动点原理(压缩映射定理)证明了解的存在性(唯一性).目前还没有见到其它国内外学者研究广义双正则函数的非线性边值问题.本文推广了F.Bracks,W.Pincket[10],LeHuang Son[11],R.P.GilbertandJ.L.Buchnan[15]和黄沙[13]的工作 相似文献
997.
S. V. Pikhtovnikov V. K. Mavrodiev S. P. Ivanov V. P. Krivonogov Yu. P. Murinov I. I. Furlei 《Russian Chemical Bulletin》2005,54(6):1402-1404
The enol forms of uracil and its derivatives were detected in the gas phase by mass spectrometry. The [M - H]− ion is produced by resonance electron capture to the lowest unoccupied molecular orbitals, the process being accompanied
by the detachment of the hydrogen atom from the nitrogen atom of the diketo form (low-energy peak at 0.8 eV) and from the
oxygen atom of the enol form (in the energy region of 1.4 eV). The gas phase contains ∼10−3% of the enol form.
Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 6, pp. 1360–1362, June, 2005. 相似文献
998.
We investigate the spin structure of the kaon, based on the nonlocal chiral quark model from the instanton vacuum. We first revisit the electromagnetic form factors of the pion and kaon, improving the results for the kaon. We evaluate the generalized tensor form factors of the kaon in order to determine the probability density of transversely polarized quarks inside the kaon. We consider the effects of flavor SU(3) symmetry breaking, so that the probability density of the up and strange quarks are examined in detail. It is found that the strange quark behaves differently inside the kaon in comparison with the up quark. 相似文献
999.
D. Baowan N. Thamwattana J. M. Hill 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2007,44(1):117-123
Carbon nanostructures are of considerable interest owing to their
unique mechanical and electronic properties. Experimentally, a wide
variety of different shapes are obtained, including both spherical
and spheroidal carbon onions. A spheroid is an ellipsoid with two
major axes equal and the term onion refers to a multi-layered
composite structure. Assuming structures of either concentric
spherical or ellipsoidal fullerenes comprising n layers, this
paper examines the interaction energy between adjacent shells for
both spherical and spheroidal carbon onions. The Lennard-Jones
potential together with the continuum approximation is employed to
determine the equilibrium spacing between two adjacent shells. We
also determine analytical formulae for the potential energy which
may be expressed either in terms of hypergeometric or Legendre
functions. We find that the equilibrium spacing between shells
decreases for shells further out from the inner core owing to the
decreasing curvature of the outer shells of a concentric structure. 相似文献
1000.
Rationalized Haar functions are developed to approximate of the nonlinear Volterra–Fredholm–Hammerstein integral equations. The properties of rationalized Haar functions are first presented, and the operational matrix of integration together with the product operational matrix are utilized to reduce the computation of integral equations into some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples. 相似文献