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881.
本文研究了线性模型中的一种有偏估计,利用均方误差和残差平方和,得到了岭型主相关估计的一些性质,是对[1]中相关结果的推广. 相似文献
882.
张珠宝 《数学的实践与认识》2006,36(7):199-204
针对酒后驾车问题,根据微分方程理论以及合理的假设,建立了体液中酒精含量随时间变化的数学模型,并求得其特解.再根据给定的数据,运用MATLAB软件确定回归方程的系数.由此,对于不同的喝酒方式以及喝下的不同数量的酒,进行血液中酒精浓度的分析,可以预测喝酒后任意时刻血液中的酒精浓度,并能预测不同喝酒方式以及喝下的不同数量的酒后能否驾车的时间分界点.从而对问题作出科学的解释和证明. 相似文献
883.
884.
Michael Hamers Michael Kohler 《Annals of the Institute of Statistical Mathematics》2006,58(1):131-151
The estimation of multivariate regression functions from bounded i.i.d. data is considered. The L
2 error with integration with respect to the design measure is used as an error criterion. The distribution of the design is
assumed to be concentrated on a finite set. Neural network estimates are defined by minimizing the empirical L
2 risk over various sets of feedforward neural networks. Nonasymptotic bounds on the L
2 error of these estimates are presented. The results imply that neural networks are able to adapt to additive regression functions
and to regression functions which are a sum of ridge functions, and hence are able to circumvent the curse of dimensionality
in these cases. 相似文献
885.
Let X
1, X
2, … be a sequence of independent identically distributed real-valued random variables, S
n
be the nth partial sum process S
n
(t) ≔ X
1 + ⋯ X
⌊tn⌋, t ∈ [0, 1], W be the standard Wiener process on [0, 1], and 2 < p < ∞. It is proved that n
−1/2
S
n
converges in law to σW as n → ∞ in p-variation norm if and only if EX
1 = 0 and σ
2 = EX
12 < ∞. The result is applied to test the stability of a regression model.
The research was partially supported by the Lithuanian State Science and Studies Foundation, grant No. T-21/07 相似文献
886.
本文考虑如下纵向数据半参数回归模型:y_(ij)=x′_(ij)β+g(x_(ij))+e_(ij).结合最小二乘法和非参数权函数估计方法得到模型中参数β,回归函数g(·)的估计,并在适当条件下证明了估计量的强相合性. 相似文献
887.
Takuya Murayama 《Stochastic Processes and their Applications》2019,129(8):2968-2990
In this paper, we discuss the chordal Komatu–Loewner equation on standard slit domains in a manner applicable not just to a simple curve but also a family of continuously growing hulls. Especially a conformally invariant characterization of the Komatu–Loewner evolution is obtained. As an application, we prove a sort of conformal invariance, or locality, of the stochastic Komatu–Loewner evolution in a fully general setting, which solves an open problem posed by Chen et al. (2017). 相似文献
888.
To better forecast the Value-at-Risk of the aggregate insurance losses, Heras et al. (2018) propose a two-step inference of using logistic regression and quantile regression without providing detailed model assumptions, deriving the related asymptotic properties, and quantifying the inference uncertainty. This paper argues that the application of quantile regression at the second step is not necessary when explanatory variables are categorical. After describing the explicit model assumptions, we propose another two-step inference of using logistic regression and the sample quantile. Also, we provide an efficient empirical likelihood method to quantify the uncertainty. A simulation study confirms the good finite sample performance of the proposed method. 相似文献
889.
This paper presents new approaches to fit regression models for symbolic internal-valued variables, which are shown to improve and extend the center method suggested by Billard and Diday and the center and range method proposed by Lima-Neto, E.A.and De Carvalho, F.A.T. Like the previously mentioned methods, the proposed regression models consider the midpoints and half of the length of the intervals as additional variables. We considered various methods to fit the regression models, including tree-based models, K-nearest neighbors, support vector machines, and neural networks. The approaches proposed in this paper were applied to a real dataset and to synthetic datasets generated with linear and nonlinear relations. For an evaluation of the methods, the root-mean-squared error and the correlation coefficient were used. The methods presented herein are available in the the RSDA package written in the R language, which can be installed from CRAN. 相似文献
890.
Xia Zhang BaoZheng Wang Ming Liu 《Mathematical Methods in the Applied Sciences》2019,42(16):5251-5257
A random normed module is a random generalization of an ordinary normed space, and it is the randomization that makes a random normed module possess rich stratification structures. On the basis of these stratification structures, this paper shows that either the kernel space N(f) for an L0‐linear function f from a random normed module S to the algebra is a closed submodule or N(f) on some specifical stratification is a dense proper submodule of S, which generalizes the classical case. In the meantime, a characterization for the kernel space N(f) to be closed is also given. 相似文献