等价的

The new algorithm is composed of two parts: the first is called E-reduction, which contracts states that are equivalent and the second is called RE- reduction, which removes states which are in the maximal acyclic subgraph.

这个新算法包括两部分：第一部分是合并模糊自动机中的等价状态；第二部分是移出模糊自动机中的最大非循环子图中的状态。

In addition, the concept of a state price is introduced and its properties are analyzed from several different aspects. This concept is also used to characterize equivalently no-arbitrage.

此外，我们引入了状态价格的概念，并从不同的角度讨论了它的性质，也用它来等价地刻划无套利。

So we conclude that the bending of light that we found in the accelerated system does indeed apply equivalently to a gravitational field.

所以，我们断定，我们在加速系统里面发现的光线的弯曲确实和一个重力场中的相等价。

In addition, for a class of first-order predicate expression namely first-order predicate expression without free variable and with one quantifier, a necessary and sufficient condition for such first-order predicate expressions to be equivalent and a corresponding judging algorithm are come up with.

另外，对于一阶谓词公式的一个常见子类——无自由变元单量词的一阶谓词公式，提出了一个判定这种一阶谓词公式等价性的充分必要条件和判定算法。

First,basing on the equivalence betweenthe AKNS hierarchy and the cKP hierarchy with k=1,we establish a unifiedframe to solve AKNS hierarchy by two types of gauge transformation.

第一，基于AKNS系列与k＝1的约束KP系列的等价性，我们建立一个用两种类型规范变换求解AKNS系列的统一框架。

In mathematics, it can be boiled down to two equivalent forms of a kind of classical solutions to the general Navier-Stokes Equation of velocity fluctuations.

从数学而言，这一框架的理论基础可归结为描述不可压缩脉动场的Navier-Stokes方程的两个等价形式。

With the use of the thin process theory, the Probability Generating Function of the IBP is obtained. An iterative algorithm, which can be used to calculate the IBP probability distribution, is presented.

用稀疏过程理论得到IBP的概率母函数，提出了一种迭代方法计算IBP的概率分布，并就突发源的等价描述进行了讨论。

In the chapter two, we will recall some basic concepts and propertiesin commutative algebra and homological algebra. In the chapter three,wewill defineⅠ-flat modules and give equivalent conditions: one module M isanⅠ-flat R-module if and only if for all prime ideals p,SuppTor_1~R

本文首先介绍了关于平坦模的一些基本概念和性质，而后将平坦模的概念在一定意义上进行推广，定义了I-平坦模，并得到了模M是I-平坦R-模的等价条件：对R中所有素理想p，有suppTor_1~R

This article proved that in the homomorphism of G onto H, the inverse image of a maximal ideal in H is also a maximal ideal in G.

得到了同态满射下，最大理想的逆象是最大理想，并给出了最大理想的象也是最大理想的一些等价条件。

Although the hyperboloid is different from η-ξ spacetime in their global struc-tures, it has two of its cross sections equivalent to the Euclidean and the Lorentziansections respectively.

这个超旋转双曲面与η-ξ时空的整体结构不同，但它的两个截面却分别等价于η-ξ时空的欧氏截面和洛伦兹截面。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。