等价的

In this thesis, we mainly study the separability and the equivalence under local unitary transformations of quantum states.

本文一方面就混合态的可分性判定问题作了一些研究，另一方面也在混合态的局域幺正等价性方面取得了一些成果。

This paper gives two equivalent conditions of similar and quasi-similar operators on the sequence space and the relation between them.

在给出序列空间上相似算子与近相似算子的等价条件后，探讨两者之间的关系，并得到新结论。

To classify the elements with similar relation, it is necessary to transform the similar matrix to equivalence matrix .

现实的分类问题往往伴有模糊性，对具有相似关系的元素进行分类，需要将相似矩阵改造为等价矩阵。

A practicable analytic solusion is obtained for any sector by means of Fourier series with singular items.

从位移场带奇性分离的Fourier级数表达式着手，得到扇形问题可实际操作的解析解，可以证明此级数解法与Wiliams分离变量法等价。

In order to describe mechanical properties of red sandstones under different water ratio, by means of statistical damage theory and strain-equivalence hypothesis statistical damage model of red sandstones with effect of water ratio considered is developed.

为了描述红砂岩随含水率不同，所反映出来的力学特性，本文运用损伤统计理论和Lemaitre应变等价性假说，推导出能反映含水率影响的红砂岩损伤统计模型。

From these, we carry out the main parts of this paper. In the second chapter, we research ordering of risks, particularly stop-loss order.

首先简述了风险排序的基本概念和发展概况，并在第三节中给出了停止一损失顺序的等价条件和基本性质。

Based on the equivalence between transformation equation and constrained equation consisting of times explicitly,the unified description of criteria for scleronomic constraint and scleronomic system is proposed.

根据变换方程与约束方程显含时间的等价性，提出了定常约束与定常系统判据的等同表述。

Under more ordinary conditions of L and R, we give an equivalent characterization of triangle inequality in definition of fuzzy metric space. It extends the result obtained by Kaleva and Seikkla [54] under the condition that L=min, R=max.

在L，R较为一般情形下，给出了模糊度量空间定义中三角不等式的等价刻画，推广了Kaleva和Seikkla[54]在L=min，R=max情形下得到的结果。

By introducing a smooth merit function for linear inequalities system problem, the problem was equivalently reformulated as an unconstraint optimization problem.

通过引入线性不等式组问题的一类光滑价值函数，将其求解问题等价地转化为无约束优化问题的求解。

In which F is the water equivalence factor of the Reagent; X is the volume, in mL, of the Reagent added after introduction of the specimen; X is the volume, in mL, of standardized Water Solution required to neutralize the unconsumed Reagent; and R is the ratio, V/25 (mL Reagent/mL Water Solution), determined from the Standardization of Water Solution for Residual Titration.

其中F是试剂与水的等价因子；X加入样品后加入的卡尔试剂体积，单位ml；X是标准水溶液中和未反应试剂所消耗的体积，单位ml，R是一个比值，V/25（单位卡尔试剂/单位标准水溶液）。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。