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Secondly, the approximation equivalent theorem for Bernstein-Kantorovich-Bezier operators have been studied by using of smooth modulus ω_φ_p in the space L_p(1 ≤ p≤∞).

二、利用光滑模ω_φ_p和与之相对应的K泛函研究了Bernstein-Kantorovich-Bézier算子于L_p(1≤p≤∞)空间中的逼近正、逆定理和等价定理。

In this paper we use pointwise modulus of smoothness to study approximation direct theorem and equivalent theorem for some linear operators and quasi-interpolant operators; Using pointwise modulus we discuss the strong converse inequality on K-functional; and using a modified weighted K-functional and weighted modulus of smoothness we study approximation with Jacobi weight on operator with non-zero first order moments.

本文利用点态光滑模ω_~(2r)来研究某些线性算子及逆中插式逼近正定理和等价定理；利用点态光滑模讨论其关于K-泛函的强逆不等式；同时利用一种改变的带权K-泛函和带权光滑模研究一阶矩不为零的算子的点态带Jacobi权逼近。

To begin with, he can quite happily swim below the surface of the water, wearing his equivalent of the aqualung in the shape of an air bubble which he traps beneath his stomach and between his legs, so that he may breathe under water.

首先，水蜘蛛带着一个相当于水肺的东西使其可以在水下自由畅泳。那东西的形状就像一个水泡，水蜘蛛把其藏在自己的腹部及腿下，以便让他可以在水下呼吸。

Usually, distribution networks operate in arborescence mode, so in the simulation of fault analysis the impact of faulty switch element on system reliability is apportioned to failure consequences of adjacent sections that connect to switch, and then an equivalent analytical model considering switch fault is proposed. Thus, not having to conduct the reliability analysis of switch element singly, the impact of switch element fault on system reliability can be calculated. Applying the proposed algorithm in RBTS-BDS6 system, RBTS-BUS4 system and actual medium-voltage distribution network to conduct reliability assessment, the results show that the proposed algorithm is superior in speed and possesses efficiency and engineering practicality.

配电网常具有树状运行特点，在故障解析模拟时，将开关元件故障对系统可靠性的影响分摊到连接开关的相邻分块的故障后果中，进而提出计及开关故障的可靠性等值解析模型，不需单独进行开关元件故障的可靠性分析即可计算其对系统可靠性的影响，应用该算法对RBTS-BUS6和RBTS-BUS4系统及实际中压配电网进行了可靠性评估，结果表明该算法有较明显的速度优势，具有高效性和工程实用性。

They met on a train travelling from King's Cross station to Arbroath in Scotland when they were both eighteen; my father was off to join the Royal Navy, my mother to join the W.R.E.N.s (the women's equivalent).

巫师。他们第一次相遇的场所--国王十字车站(King's Cross)，对作者罗琳有特殊意义。罗琳的父母就是最早在这个车站第一次见面的。

The application of equivalent stress in the optimal design of arch dam gets it having more practical value.

等效应力在优化中的应用使其更具有实际应用价值。

This garbage is the modern equivalent of the remains found in the archaeological record.

这种垃圾相当于现代社会中发现的考古记录的遗骸。

We use J-frame of semigroups obtaining the character of completely Archimedean semigroups and equivalent properties that a completely simple ideal of semigroups is completely Archimedean semigroups are given.

并且利用半群的J-骨架讨论了完全Archimedean半群的结构以及半群S的每一完全单理想是完全Archimedean半群的等价性质。

The argument principle of the method of proof by contradiction is base on equivalent relation of dual propositions.

反证法是利用对偶命题等价的原理进行论证。

But they are, of course, equivalent in the sense that they arise from the same set of equations.

但是从它们都是由同一个方程组产生的这一意义上来看，它们自然是等价的。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。