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91.
We analyze the accretion of charged matter onto a rotating black hole immersed in an aligned dipolar magnetic field. We specialize
to motion in the equatorial plane and calculate the ‘Keplerian’ angular momentum distribution, the marginally stable and marginally
bound orbits, and the efficiency of mass-to-energy conversion as functions of the angular momentum of the black hole and of
the product of the dipole moment and the charge of the infalling matter. Although the detailed results are quite different
from those previously obtained in the case of an uniform magnetic field, the astrophysically relevant results are very similar;
when hydrodynamical accretion is considered, these effects of the magnetic field are always very small. But for test particles
the efficiency can be significantly increased for limited ranges of the parameters. 相似文献
92.
93.
Following the approach of optical reference geometry we derive the expression for the total force in the radial direction acting on a charged particle in magnetic fields superimposed on the static Schwarzschild background and show the possible existence of bound orbits for particles in the field of ultra compact objects at distancesr?3m wherein the Lorentz force counterbalances both the gravitational and centrifugal forces. 相似文献
94.
Dalzin forms coloured complexes with many metal ions. The present work deals with its use for determining microgram quantities of bismuth by solvent extraction followed by spectrophotometry. A method for estimation of bismuth in lead and nickel is presented. 相似文献
95.
A. Miele E. E. Cragg R. R. Iyer A. V. Levy 《Journal of Optimization Theory and Applications》1971,8(2):115-130
In this paper, the problem of minimizing a functionf(x) subject to a constraint (x)=0 is considered. Here,f is a scalar,x ann-vector, and aq-vector, withq<n. The use of the augmented penalty function is explored in connection with theordinary gradient algorithm. The augmented penalty functionW(x, ,k) is defined to be the linear combination of the augmented functionF(x, ) and the constraint errorP(x), where theq-vector is the Lagrange multiplier and the scalark is the penalty constant.The ordinary gradient algorithm is constructed in such a way that the following properties are satisfied in toto or in part: (a) descent property on the augmented penalty function, (b) descent property on the augmented function, (c) descent property on the constraint error, (d) constraint satisfaction on the average, or (e) individual constraint satisfaction. Properties (d) and (e) are employed to first order only.With the above considerations in mind, two classes of algorithms are developed. For algorithms of Class I, the multiplier is determined so that the error in the optimum condition is minimized for givenx; for algorithms of Class II, the multiplier is determined so that the constraint is satisfied to first order.Algorithms of Class I have properties (a), (b), (c) and include Algorithms (I-) and (I-). In the former algorithm, the penalty constant is held unchanged for all iterations; in the latter, the penalty constant is updated at each iteration so as to ensure satisfaction of property (d).Algorithms of Class II have properties (a), (c), (e) and include Algorithms (II-) and (II-). In the former algorithm, the penalty constant is held unchanged for all iterations; in the latter, the penalty constant is updated at each iteration so as to ensure satisfaction of property (b).Four numerical examples are presented. They show that algorithms of Class II exhibit faster convergence than algorithms of Class I and that algorithms of type () exhibit faster convergence than algorithms of type (). Therefore, Algorithm (II-) is the best among those analyzed. This is due to the fact that, in Algorithm (II-), individual constraint satisfaction is enforced and that descent properties hold for the augmented penalty function, the augmented function, and the constraint error.This research was supported by the National Science Foundation, Grant No. GP-27271. The authors are indebted to Dr. J. N. Damoulakis for analytical and numerical assistance. Discussions with Professor H. Y. Huang are acknowledged. 相似文献
96.
N. K. Chaudhuri R. Sampathkumar R. H. Iyer 《Journal of Radioanalytical and Nuclear Chemistry》1976,33(1):53-65
Analysis of fissile materials in solution by fission track registration technique has been extended to plutonium in solution
of its alloys. In these estimations, the results agreed within 1–4% with the average of those obtained by other chemical and
instrumental methods like potentiometry, mass-spectrometry and X-ray fluorescence. Some special practical problems encountered
in the analysis of plutonium solutions are noted. Various factors affecting the results have been investigated and the necessary
precautions for reducing these errors have been indicated. The advantages of the method over some other conventional methods
have also been discussed. It is suggested that a source of about 10 μg of252Cf corresponding to a neutron flux of about 107 n·cm−2·sec−1 is ideal for these experiments. 相似文献
97.
Thermolysis of 5-azidoallenes bearing a C(1) methyl group and either an aryl ring or an alkene on C(1) furnishes tricyclic (from the aryl substrates) or bicyclic (from the alkenyl substrates) pyrrolidine products following formal H-CN addition across an intermediate imine. High levels of diastereoselectivity are observed in all cases studied. This reaction cascade presumably passes through unobserved triazoline and azatrimethylenemethane diyl intermediates en route to product. 相似文献
98.
K. R. Krishna Iyer P. Neelakantan T. Radhakrishnan 《Journal of Polymer Science.Polymer Physics》1969,7(6):983-992
Interferometric studies have been made on cotton fibers as well as on twisted nylon filaments. The results so obtained provide strong evidence that the fibrils in the cotton fiber become less inclined to the fiber axis as one proceeds from the surface to the core. Also, studies on twisted nylon filaments by the fiber refractometer and Becke line techniques indicate that the latter, as practiced in this laboratory, does give values of refractive index which are heavily weighted towards the fiber periphery. 相似文献
99.
[reaction: see text] Thermolysis of 2-(allenyl)phenyl azides leads to a cascade cyclization sequence furnishing both C(2)-C(3) and N-C(2) cyclopentannelated indoles. 相似文献
100.
We study the connections between one-sided Hopf algebras and one-sided quantum quasigroups, tracking the four possible invertibility conditions for the left and right composite morphisms that combine comultiplications and multiplications in these structures. The genuinely one-sided structures exhibit precisely two of the invertibilities, while it emerges that imposing one more condition often entails the validity of all four. A main result shows that under appropriate conditions, just one of the invertibility conditions is su?cient for the existence of a one-sided antipode. In the left Hopf algebra which is a variant of the quantum special linear group of two-dimensional matrices, it is shown explicitly that the right composite is not injective, and the left composite is not surjective. 相似文献