秩函数

In this paper, we use the convex function to form the order statistic and the linear rank statistic, and the asymptotic normality of the statistics are proved.

本文用凸函数构造了线性次序统计量和线性秩统计量，并证明了它们的渐近正态性。

These spacings are valueswithin the interval[0,1]such that the inverse of cumulative distribution function atlarge sample quantiles is equal to the value of spacings.

这些线性估计依赖于被选择的顺序统计量，而顺序统计量的秩由一些间隔所确定，这些间隔是大样本分位数依分布函数的反函数在区间[0，1]上确定的数值。

Finally, the superiorities of the linear estimator of estimable function for regression coefficients are discussed in non-full rank case.

最后，讨论了当设计阵为非列满秩时，回归系数的可估函数的一类线性估计的优良性。

An modified BFGS algorithm to solve the unconstrained optimization, whose Hessian matrix of the minimum point of the convex function is rank one defect, is presented in this paper.

本文对凸函数在极值点的Hessian矩阵是秩亏一的情况下，给出了一类求解无约束优化问题的修正BFGS算法。

An modified BFGS algorithm o solve the unconstrained optimization, whose Hessian matrix of the minimum point of the convex function is rank one defect, is presented in this paper.

本文对凸函数在极值点的Hessian矩阵是秩亏一的情况下，给出了一类求解无约束优化问题的修正BFGS算法。

The following results are presented: By the property of mean value of the holomorphic functions and the property of the reproducing kernel k_ω, we get the rank one operator k_ω?

首先，利用正规化再生核K_w的特殊性和解析函数的平均值性质，建立了秩为一的算子K_wK_w与Toeplitz算子之间的联系，把算子K_w？

We consider Theorem 1 to be highly significant and apply it to obtaining the rank of a certain augmentation quotient group by proposing Theorem 3 and giving its complete proof.

应用具有Np-序列有限p-群的特殊性质和重量函数，基本序列等概念以及已有的一些结果，分别研究了类为1的pk(k 2)阶A bel基本p-群和类为2的p4阶基本p-群之增广商群Qn的结构，得到了当n足够大时Qn作为A bel基本p-群的秩。

Solving such a system would encounter some intricacies if its leading principal submatrix, i.e. the stiffness matrix, is rank deficient. This is believed to be one of the main reasons that many programmers would unwillingly give up the Lagrange multiplier method but select the penalty function method.

当其中的主子阵亏秩时，求解会遇到许多困难，这些困难往往是导致许多程序员放弃Lagrange乘子法而选择罚函数法的根本原因。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷