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41.
M. Courtemanche L. Glass J. B lair D. Scagliotti D. Gordon 《Physica D: Nonlinear Phenomena》1989,40(3):299-310
A circle is divided into two regions, a black one and a white one. Successive iterates of an invertible nonlinear circle map generate a symbolic string indicating whether each iterate is in the black or white region. A number of remarkable properties of the symbolic sequences are described. These properties were previously described for a linear circle map corresponding to a rigid rotation in the “gaps and steps” problem. These results have direct application to a cardiac arrhythmia, parasystole, that results from the competition between two pacemakers in the heart, one in the sinus mode and the other in the ventricles. The theoretical results are directly applicable to a clinical case of a young man who had frequent extra heartbeats. 相似文献
42.
Olivier Glass 《Journal of Differential Equations》2008,245(6):1584-1615
We investigate the problems of exact controllability and asymptotic stabilization of the Camassa-Holm equation on the circle, by means of a distributed control. The results are global, and in particular the control prevents the solution from blowing up. 相似文献
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I. I. Glass 《Shock Waves》1991,1(1):75-86
Analytical and experimental research on non-stationary shock waves, rarefaction waves and contact surfaces has been conducted continuously at UTIAS since its inception in 1948. Some unique facilities were used to study the properties of planar, cylindrical and spherical shock waves and their interactions. Investigations were also performed on shock-wave structure and boundary layers in ionizing argon, water-vapour condensation in rarefaction waves, magnetogasdynamic flows, and the regions of regular and various types of Mach reflections of oblique shock waves. Explosively-driven implosions have been employed as drivers for projectile launchers and shock tubes, and as a means of producing industrial-type diamonds from graphite, and fusion plasmas in deuterium. The effects of sonic-boom on humans, animals and structures have also formed an important part of the investigations. More recently, interest has focussed on shock waves in dusty gases, the viscous and vibrational structure of weak spherical blast waves in air, and oblique shock-wave reflections. In all of these studies instrumentation and computational methods have played a very important role. A brief survey of this work is given herein and in more detail in the relevant references.This article was processed using Springer-Verlag TEX Shock Waves macro package 1990. 相似文献
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Abhishek Roy Michael A. Hickner Xiang Yu Yanxiang Li Thomas E. Glass James E. McGrath 《Journal of Polymer Science.Polymer Physics》2006,44(16):2226-2239
One of the integral parts of the fuel cell is the proton exchange membrane. Our research group has been engaged in the past few years in the synthesis of several sulfonated poly(arylene ether) random copolymers. The copolymers were varied in both the bisphenol structure as well as in the functional groups in the backbone such as sulfone and ketones. To compare the effect of sequence length, multiblock copolymers based on poly(arylene ether sulfone)s were synthesized. This paper aims to describe our investigation of the effect of chemical composition, morphology, and ion exchange capacity (IEC) on the transport properties of proton conducting membranes. The key properties examined were proton conductivity, methanol permeability, and water self diffusion coefficient in the membranes. It was observed that under fully hydrated conditions, proton conductivity for both random and block copolymers was a function of IEC and water uptake. However, under partially hydrated conditions, the block copolymers showed improved proton conductivity over the random copolymers. The proton conductivity for the block copolymer series was found to increase with increasing block lengths under partially hydrated conditions. © 2006 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 44: 2226–2239, 2006 相似文献
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Leon Glass Theodore J. Perkins Jonathan Mason Hava T. Siegelmann Roderick Edwards 《Journal of statistical physics》2005,121(5-6):969-994
We consider dynamics in a class of piecewise-linear ordinary differential equations and in an electronic circuit that model
genetic networks. In these models, gene activity varies continuously in time. However, as in Boolean or discrete-time switching
networks, gene activity is driven high or low based only on whether the activities of the regulating genes are high or low
(i.e., above or below certain thresholds). Depending on the “regulatory logic”, these models can exhibit simple dynamics,
like stable fixed points or oscillation, or chaotic dynamics. The observed qualitative and quantitative differences between
the dynamics in the idealized equations and the dynamics in the electronic circuit lead us to focus attention on the analysis
of the dynamics as a function of parameter values. We propose new techniques for solving the inverse problem – the problem
of inferring the regulatory logic and parameters from time series data. We also give new symbolic and statistical methods
for characterizing dynamics in these networks. 相似文献
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