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91.
支化高分子在溶液中的交叠与缠结 总被引:1,自引:0,他引:1
溶液中高分子的交叠和缠结与其链结构密切相关。支化聚苯乙烯的临界交叠浓度C和临界缠结浓度C_E比分子量相同的线型聚苯乙烯的大,说明交叠和缠结同分子在溶液中线团的体积有直接关系。 相似文献
92.
93.
以硫酸铝液为原料,以氨水、氢氧化钠和铝酸钠为碱沉淀剂,采用pH摆动法制备了高比表面积、大孔径、窄孔分布、大孔体积氧化铝,考察了沉淀剂、沉淀温度及沉淀时酸侧pH值对氧化铝物性的影响,并对pH摆动法与等pH沉淀法的结果进行了比较.结果表明,通过改变制备参数可以获得高比表面积、大孔体积的氧化铝,当沉淀温度为70℃,pH摆动3或4次时,氧化铝的孔体积可高达1.0ml/g,比表面积仍大于300m2/g.用pH摆动法制得的样品比用等pH沉淀法制得的样品容易酸溶,对挤压成型有利.不同样品在酸溶液中的分散性表明,用氨水沉淀剂可获得相对较小的沉淀粒子.改变沉淀时酸侧的pH值,可导致沉淀粒子的结构发生变化. 相似文献
94.
《Journal of Pure and Applied Algebra》2022,226(12):107144
We consider parametric optimization problems from an algebraic viewpoint. The idea is to find all of the critical points of an objective function thereby determining a global optimum. For generic parameters (data) in the objective function the number of critical points remains constant. This number is known as the algebraic degree of an optimization problem. In this article, we go further by considering the inverse problem of finding parameters of the objective function so it gives rise to critical points exhibiting a special structure. For example if the critical point is in the singular locus, has some symmetry, or satisfies some other algebraic property. Our main result is a theorem describing such parameters. 相似文献
95.
Let be a Kähler surface and be a -symplectic critical surface in . If is bounded for some , then we give a uniform upper bound for the Kähler angle on . This bound only depends on and the functional of . For , this estimate is known and we extend the scope of . 相似文献
96.
Norio Konno 《Journal of Theoretical Probability》1995,8(4):833-876
In this paper we consider the basic contact process with infection rate λ and stirring rateD. We study the asymptotic behavior of the critical value
and survival probability
asD→∞. 相似文献
97.
New calculations to over ten million time steps have revealed a more complex diffusive behavior than previously reported of a point particle on a square and triangular lattice randomly occupied by mirror or rotator scatterers. For the square lattice fully occupied by mirrors where extended closed particle orbits occur, anomalous diffusion was still found. However, for a not fully occupied lattice the superdiffusion, first noticed by Owczarek and Prellberg for a particular concentration, obtains for all concentrations. For the square lattice occupied by rotators and the triangular lattice occupied by mirrors or rotators, an absence of diffusion (trapping) was found for all concentrations, except on critical lines, where anomalous diffusion (extended closed orbits) occurs and hyperscaling holds for all closed orbits withuniversal exponentsd
f
=7/4 and =15/7. Only one point on these critical lines can be related to a corresponding percolation problem. The questions arise therefore whether the other critical points can be mapped onto a new percolation-like problem and of the dynamical significance of hyperscaling. 相似文献
98.
We make a high-precision Monte Carlo study of two- and three-dimensional self-avoiding walks (SAWs) of length up to 80,000 steps, using the pivot algorithm and the Karp-Luby algorithm. We study the critical exponentsv and 2
4 – as well as several universal amplitude ratios; in particular, we make an extremely sensitive test of the hyperscaling relationdv = 2
4 –. In two dimensions, we confirm the predicted exponentv=3/4 and the hyperscaling relation; we estimate the universal ratios <R
g
2
>/<R
e
2
>=0.14026±0.00007, <R
m
2
>/<R
e
2
>=0.43961±0.00034, and *=0.66296±0.00043 (68% confidence limits). In three dimensions, we estimatev=0.5877±0.0006 with a correctionto-scaling exponent
1=0.56±0.03 (subjective 68% confidence limits). This value forv agrees excellently with the field-theoretic renormalization-group prediction, but there is some discrepancy for
1. Earlier Monte Carlo estimates ofv, which were 0.592, are now seen to be biased by corrections to scaling. We estimate the universal ratios <R
g
2
>/<R
e
2
>=0.1599±0.0002 and *=0.2471±0.0003; since *>0, hyperscaling holds. The approach to * is from above, contrary to the prediction of the two-parameter renormalization-group theory. We critically reexamine this theory, and explain where the error lies. In an appendix, we prove rigorously (modulo some standard scaling assumptions) the hyperscaling relationdv = 2
4 – for two-dimensional SAWs. 相似文献
99.
Monte Carlo simulations of the bond fluctuation model of symmetrical polymer blends confined between two neutral repulsive walls are presented for chain lengthN
A=N
B=32 and a wide range of film thicknessD (fromD=8 toD=48 in units of the lattice spacing). The critical temperaturesT
c
(D) of unmixing are located by finite-size scaling methods, and it is shown that
, wherev
30.63 is the correlation length exponent of the three-dimensional Ising model universality class. Contrary to this result, it is argued that the critical behavior of the films is ruled by two-dimensional exponents, e.g., the coexistence curve (difference in volume fraction of A-rich and A-poor phases) scales as
, where
2 is the critical exponent of the two-dimensional Ising universality class (
2=1/8). Since for largeD this asymptotic critical behavior is confined to an extremely narrow vicinity ofT
c
(D), one observes in practice effective exponents which gradually cross over from
2 to
3 with increasing film thickness. This anomalous flattening of the coexistence curve should be observable experimentally. 相似文献
100.
G. M. Molchan 《Journal of statistical physics》1995,78(3-4):701-730
We present a method for the derivation of the generating function and computation of critical exponents for several cluster models (staircase, bar-graph, and directed column-convex polygons, as well as partially directed self-avoiding walks), starting with nonlinear functional equations for the generating function. By linearizing these equations, we first give a derivation of the generating functions. The nonlinear equations are further used to compute the thermodynamic critical exponents via a formal perturbation ansatz. Alternatively, taking the continuum limit leads to nonlinear differential equations, from which one can extract the scaling function. We find that all the above models are in the same universality class with exponents
u
=-1/2,
i
=-1/3, and =2/3. All models have as their scaling function the logarithmic derivative of the Airy function. 相似文献