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101.
102.
A. Paglietti 《Physics letters. A》2019,383(10):936-941
The interpretation of entropy provided by statistical thermodynamics is not adequate to represent the thermodynamic entropy of the gas of noninteracting particles considered in this theory. Planck's thought experiment on reversible mixing and Gibbs' paradox provide perhaps the best-known evidence of this. The assumption that the internal energy of an ideal gas depends only on its temperature is introduced both in the kinetic theory of gases and in the classical thermodynamics. Such an assumption is no doubt adequate to deal with real gases at appropriately low pressures and high temperatures. However, the present paper shows that the same assumption implies that the entropy of an ideal gas, like its internal energy, must also depend only on temperature. The paper calculates the expression of the entropy function that is consistent with the internal energy function of the gas. From this expression, the thermodynamic entropy of the ideal gas – as distinct from its statistical entropy – is finally expressed in terms of statistical mechanics variables. 相似文献
103.
The St. Petersburg Paradox contributed to establishing expected utility theory by demonstrating that decision making based on the expectation (expected value, or mean, average) leads to an unreasonable behavior. Although the expected value is commonly used as an optimization criterion in various fields of mathematical sciences, such paradoxical problems as arbitrariness and intransitivity have led many researchers to forsake expected utility theory in search of more useful alternatives. Here we show an analytical solution of the St. Petersburg Paradox based on the median of the probability distribution. The present method provides a reasonable solution to any related problem. The median payout of repeated games suggests a new scaling relation in the limit of a large number of repetitions, while the game has no characteristic scale in terms of expected value. 相似文献
104.
S. Hamid Mehdipour 《理论物理通讯》2009,52(5):865-870
In this paper, we apply the tunneling of massive particle through the quantum horizon of a Schwarzschild black hole in noncommutative spacetime. The tunneling effects lead to modified Hawking radiation due to inclusion of back-reaction effects. Our calculations show also that noncommutativity effects cause the further modifications to the hermodynamical relations in black hole. We calculate the emission rate of the massive particles' tunneling from aSchwarzschild black hole which is modified on account of noncommutativity influences. The issues of information loss and possible correlations between emitted particles are discussed. Unfortunately even by considering noncommutativity view point, there is no correlation between different modes of evaporation at least at late-time. Nevertheless, as a result of spacetime noncommutativity, information may be conserved by a stable black hole remnant. 相似文献
105.
Considering the back-reaction of emitting particles to the black hole, a “new” horizon is suggested where thermodynamics can
be built in the dynamical black hole. It, at least, means that the thermodynamics of a dynamical black hole should not be
constructed at the original event horizon any more. The temperature, “new” horizon position and radiating particles’ energy
will be consistent again under the theory of equilibrium thermodynamical system.
相似文献
106.
The Relational Blockworld (RBW) interpretation of non-relativistic quantum mechanics (NRQM) is introduced. Accordingly, the
spacetime of NRQM is a relational, non-separable blockworld whereby spatial distance is only defined between interacting trans-temporal
objects. RBW is shown to provide a novel statistical interpretation of the wavefunction that deflates the measurement problem,
as well as a geometric account of quantum entanglement and non-separability that satisfies locality per special relativity
and is free of interpretative mystery. We present RBW’s acausal and adynamical resolution of the so-called “quantum liar paradox,”
an experimental set-up alleged to be problematic for a spacetime conception of reality, and conclude by speculating on RBW’s
implications for quantum gravity. 相似文献
107.
The phenomenon of quantum superposition, which allows a physical system to exist in different states ‘simultaneously’, is
one of the most bizarre notions in physics. Here we illustrate an even more bizarre example of it: a superposed state of a
physical system consisting of both an ‘older’ version and a ‘younger’ version of that system. This can be accomplished by
exploiting the special relativistic effect of time dilation featuring in Einstein’s famous twin paradox. 相似文献
108.
109.
目的 :本文考虑 Berkson-Gage法中校正处于危险数的合理性 .方法 :按生存率估计值对终检样本进行分解复得生存率估计值 .后者理应等于前者 .结果 :就 Berkson-Gage法而论 ,后者大于等于前者 ,从而形成悖论 .取消该校正 ,后者便等于前者 ,该悖论即解 .结论 :因此 ,该校正的取舍值得商榷 相似文献
110.
Vladimir G. De
neko Bettina Klinz Gerhard J. Woeginger 《Discrete Applied Mathematics》2003,130(3):495-501
We characterize the m×n cost matrices of the transportation problem for which there exist supplies and demands such that the transportation paradox arises. Our characterization is fairly simple and can be verified within O(mn) computational steps. Moreover, we discuss the corresponding question for the algebraic transportation problem. 相似文献