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961.
In this paper the main focus is on a stability concept for solutions of a linear complementarity problem. A solution of such
a problem is robust if it is stable against slight perturbations of the data of the problem. Relations are investigated between
the robustness, the nondegenerateness and the isolatedness of solutions. It turns out that an isolated nondegenerate solution
is robust and also that a robust nondegenerate solution is isolated. Since the class of linear complementarity problems with
only robust solutions or only nondegenerate solutions is not an open set, attention is paid to Garcia's classG
n
of linear complementarity problems. The nondegenerate problems inG
n
form an open set. 相似文献
962.
963.
A complete closed form vectorial solution to the Kepler problem 总被引:2,自引:0,他引:2
The paper gives an exact vectorial solution to the Kepler problem. A vectorial regularization that linearizes the Kepler problem
is given using a Sundman transformation. Closed form expressions describing the Keplerian motion are deduced. A unified approach
to the classic Kepler problem is offered, by studying both rectilinear and non-rectilinear Keplerian motions with the same
instrument. The approach is an elementary one and only simple vectorial computations are involved. 相似文献
964.
Matteo Villani Guillermo Albareda Carlos Destefani Xavier Cartoix Xavier Oriols 《Entropy (Basel, Switzerland)》2021,23(4)
Without access to the full quantum state, modeling quantum transport in mesoscopic systems requires dealing with a limited number of degrees of freedom. In this work, we analyze the possibility of modeling the perturbation induced by non-simulated degrees of freedom on the simulated ones as a transition between single-particle pure states. First, we show that Bohmian conditional wave functions (BCWFs) allow for a rigorous discussion of the dynamics of electrons inside open quantum systems in terms of single-particle time-dependent pure states, either under Markovian or non-Markovian conditions. Second, we discuss the practical application of the method for modeling light–matter interaction phenomena in a resonant tunneling device, where a single photon interacts with a single electron. Third, we emphasize the importance of interpreting such a scattering mechanism as a transition between initial and final single-particle BCWF with well-defined central energies (rather than with well-defined central momenta). 相似文献
965.
This paper proposes a method for solving optimisation problems involving piecewise quadratic functions. The method provides a solution in a finite number of iterations, and the computational complexity of the proposed method is locally polynomial of the problem dimension, i.e., if the initial point belongs to the sufficiently small neighbourhood of the solution set. Proposed method could be applied for solving large systems of linear inequalities. 相似文献
966.
Jon Mallatt 《Entropy (Basel, Switzerland)》2021,23(6)
This paper assesses two different theories for explaining consciousness, a phenomenon that is widely considered amenable to scientific investigation despite its puzzling subjective aspects. I focus on Integrated Information Theory (IIT), which says that consciousness is integrated information (as ϕMax) and says even simple systems with interacting parts possess some consciousness. First, I evaluate IIT on its own merits. Second, I compare it to a more traditionally derived theory called Neurobiological Naturalism (NN), which says consciousness is an evolved, emergent feature of complex brains. Comparing these theories is informative because it reveals strengths and weaknesses of each, thereby suggesting better ways to study consciousness in the future. IIT’s strengths are the reasonable axioms at its core; its strong logic and mathematical formalism; its creative “experience-first” approach to studying consciousness; the way it avoids the mind-body (“hard”) problem; its consistency with evolutionary theory; and its many scientifically testable predictions. The potential weakness of IIT is that it contains stretches of logic-based reasoning that were not checked against hard evidence when the theory was being constructed, whereas scientific arguments require such supporting evidence to keep the reasoning on course. This is less of a concern for the other theory, NN, because it incorporated evidence much earlier in its construction process. NN is a less mature theory than IIT, less formalized and quantitative, and less well tested. However, it has identified its own neural correlates of consciousness (NCC) and offers a roadmap through which these NNCs may answer the questions of consciousness using the hypothesize-test-hypothesize-test steps of the scientific method. 相似文献
967.
968.
Shi Wei-hui 《应用数学和力学(英文版)》1994,15(12):1125-1130
In this paper, the necessary conditions of the existence of C2 solutions in some initial problems of Navier-Stokes equations are given, and examples of instability of initial value (at
t=0) problems are also given. The initial value problem of Navier-Stokes equation is one of the most fundamental problem for
this equation various authors studies this problem and contributed a number of results. J. Lerav, a French professor, proved
the existence of Navier-Stokes equation under certain defined initial and boundary value conditions. In this paper, with certain
rigorously defined key concepts, based upon the basic theory of J. Hadamard partial differential equations1, gives a fundamental theory of instability of Navier-Stokes equations. Finally, many examples are given, proofs referring
to Ref. [4]. 相似文献
969.
采用常数边界元对船舶与流体界面进行离散,求解船舶兴波势及船舶兴波阻力。这种方法可避免在船舶与流体自由面交线上安置节点,因而避免了这些节点建立补充方程。因为满足自由面条件的Havelock源函数的源点和场点不能同时在自由面上,使得自由面上的节点无法用Havelock源函数的建立方程。如对自由面交线上的节点建立补充方程,则要对线性自由面条件中包含的未知势函数的二阶导数用差分形式表达,引入较大误差。 相似文献
970.
Steady laminar forced convection gaseous slip-flow through parallel-plates micro-channel filled with porous medium under Local
Thermal Non-Equilibrium (LTNE) condition is studied numerically. We consider incompressible Newtonian gas flow, which is hydrodynamically
fully developed while thermally is developing. The Darcy–Brinkman–Forchheimer model embedded in the Navier–Stokes equations
is used to model the flow within the porous domain. The present study reports the effect of several operating parameters on
velocity slip and temperature jump at the wall. Mainly, the current study demonstrates the effects of: Knudsen number (Kn),
Darcy number (Da), Forchheimer number (Γ), Peclet number (Pe), Biot number (Bi), and effective thermal conductivity ratio
(K
R) on velocity slip and temperature jump at the wall. Results are given in terms of skin friction (C
f
Re
*) and Nusselt number (Nu). It is found that the skin friction: (1) increases as Darcy number increases; (2) decreases as Forchheimer
number or Knudsen number increases. Heat transfer is found to (1) decreases as the Knudsen number, Forchheimer number, or
K
R increases; (2) increases as the Peclet number, Darcy number, or Biot number increases. 相似文献