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101.
102.
Pei-Chu Hu 《Journal of Mathematical Analysis and Applications》2009,357(2):323-731
Take positive integers n,k?2. Let F be a family of meromorphic functions in a domain D⊂C such that each f∈F has only zeros of multiplicity at least k. If, for each pair (f,g) in F, fn(f(k)) and gn(g(k)) share a non-zero complex number a ignoring multiplicity, then F is normal in D. 相似文献
103.
Savannah C. Partridge Revathi S. Murthy Ali Ziadloo Steven W. White Kimberly H. Allison Constance D. Lehman 《Magnetic resonance imaging》2010
Purpose
The objective of this study was to evaluate diffusion anisotropy of the breast parenchyma and assess the range and repeatability of diffusion tensor imaging (DTI) parameters in normal breast tissue.Materials and Methods
The study was approved by our institutional review board and included 12 healthy females (median age, 36 years). Diffusion tensor imaging was performed at 1.5 T using a diffusion-weighted echo planar imaging sequence. Diffusion tensor imaging parameters including tensor eigenvalues (λ1, λ2, λ3), fractional anisotropy (FA) and apparent diffusion coefficient (ADC) were measured for anterior, central and posterior breast regions.Results
Mean normal breast DTI measures were λ1=2.51×10−3 mm2/s, λ2=1.89×10−3 mm2/s, λ3=1.39×10−3 mm2/s, ADC=1.95±0.24×10−3 mm2/s and FA=0.29±0.05 for b=600 s/mm2. Significant regional differences were observed for both FA and ADC (P<.05), with higher ADC in the central breast and higher FA in the posterior breast. Comparison of DTI values calculated using b=0, 600 s/mm2 vs. b=0, 1000 s/mm2, showed significant differences in ADC (P<.001), but not FA. Repeatability assessment produced within-subject coefficient of variations of 4.5% for ADC and 11.4% for FA measures.Conclusion
This study demonstrates anisotropy of water diffusion in normal breast tissue and establishes a normative range of breast FA values. Attention to the influence of breast region and b value on breast DTI measurements may be important for clinical interpretation and standardization of techniques. 相似文献104.
书法艺术的计算机模拟及其实现 总被引:2,自引:0,他引:2
利用现代的计算机技术,可以使书法这门古老而又璀灿的艺术明珠增添新的魅力。本文详细介绍了计算机模拟毛笔书法的思想及具体实现方法。 相似文献
105.
Wolfgang Stadje 《Operations Research Letters》1997,20(5):229-235
It is proved that a certain kind of randomly discounted random sums is asymptotically normal as the discount constant tends to zero. For replaceable systems with random lifetime, these sums represent the total discounted cost of policies of the age-replacement type; other applications to queueing and related areas are also indicated. 相似文献
106.
孤子源啁啾对光孤子传输的影响以及消啁啾的方法 总被引:2,自引:0,他引:2
本文提出了一种孤子源非线性啁啾的模型,利用解析和计算机模拟的方法从理论上分析了孤子源啁啾,特别是非线性啁啾对孤子传输的影响,并讨论了消啁啾的两种方法-正色散光纤消啁啾法和Fabry-Perot光谱窗消啁啾法,实验结果与理论分析基本一致. 相似文献
107.
Ji Chungang 《东北数学》1998,(1)
in this paper, let K = Q ( ) be an abelian number field,where mi's are distinct square-free integers and Gal (K/Q ) (Z/2Z )n+1, and let k Q(M). When k is imaginary or k is real and has a unit of norm -1, we give a necessaryand sufficient condition for K/k to have a normal integral basis. 相似文献
108.
Let F be a family of holomorphic functions in a domain D, and let a(z), b(z) be two holomorphic functions in D such that a(z)?b(z), and a(z)?a′(z) or b(z)?b′(z). In this paper, we prove that: if, for each f∈F, f(z)−a(z) and f(z)−b(z) have no common zeros, f′(z)=a(z) whenever f(z)=a(z), and f′(z)=b(z) whenever f(z)=b(z) in D, then F is normal in D. This result improves and generalizes the classical Montel's normality criterion, and the related results of Pang, Fang and the first author. Some examples are given to show the sharpness of our result. 相似文献
109.
Arthur W. Apter 《Archive for Mathematical Logic》2008,47(2):101-110
If κ < λ are such that κ is indestructibly supercompact and λ is measurable, then we show that both A = {δ < κ | δ is a measurable cardinal which is not a limit of measurable cardinals and δ carries the maximal number of normal measures} and B = {δ < κ | δ is a measurable cardinal which is not a limit of measurable cardinals and δ carries fewer than the maximal number of normal measures} are unbounded in κ. The two aforementioned phenomena, however, need not occur in a universe with an indestructibly supercompact cardinal and
sufficiently few large cardinals. In particular, we show how to construct a model with an indestructibly supercompact cardinal
κ in which if δ < κ is a measurable cardinal which is not a limit of measurable cardinals, then δ must carry fewer than the maximal number of normal measures. We also, however, show how to construct a model with an indestructibly
supercompact cardinal κ in which if δ < κ is a measurable cardinal which is not a limit of measurable cardinals, then δ must carry the maximal number of normal measures. If we weaken the requirements on indestructibility, then this last result
can be improved to obtain a model with an indestructibly supercompact cardinal κ in which every measurable cardinal δ < κ carries the maximal number of normal measures.
A. W. Apter’s research was partially supported by PSC-CUNY grants and CUNY Collaborative Incentive grants. In addition, the
author wishes to thank the referee, for helpful comments, corrections, and suggestions which have been incorporated into the
current version of the paper. 相似文献
110.
J. Betancort-Rijo 《Journal of statistical physics》2000,98(3-4):917-933
We show that a wide variety of processes lead, in certain limit, to a simple generalization of the negative binomial distribution. Its properties are studied in detail and used to derive an important result in the theory of avalanches. 相似文献