等价的

This technique,called the rotation operator approach,disentangles the propagator into a rotation operator and,consequently,shifts the cumbersome time-ordering problem into solving the characteristic equations equivalent to the Euler geometricequations long known to describe the motion of a rigid body.

它把相应的传播子分解为量子力学中的空间转动变换算符，把复杂的时序问题转变为求解对应的特征方程，而这些特征方程恰好与描述刚体运动的Euler几何方程完全等价。

Some Properties of Monad and Comonad;2. The definitions of entwining structures of monads and comonad s and entwining modules are given and the paper studied their relations with entwining structures of algebras and coalgebras in categories,then we build an adjoint functors pair between the two categories of entwining modules.

首先给出了单子和余单子的缠绕结构和缠绕模及其与代数和余代数的缠绕结构和缠绕模之间的关系，并构造了一个函子伴随对，其次定义了余单子的类群元，得出了一些相关结论，最后给出了缠绕结构之间相容的定义和等价条件。

The article showed some originalities in flexible setting of time mode, the calculation of priority, the portioning of equivalent, etc, and finally implemented automatic course scheduling.

在时间选择的灵活性、优先级的计算、等价类的划分、算法复杂性的降低等方面提出了自己的见解并进行了编程实现。

In this paper, we discuss effect algebra and related topics. The main results are the following:1. Effect algebra is a commutative algebraic structure. To get a non-commutative algebraic structure.we introduced the concepts of left difference and right difference, and we also introduced the concept of the Bi-difference sets, the concept of pseudo-difference poset, and proved that pseudo-difference poset is equivalent to pseudo-effect algebra.

效应代数描述的是具有交换性的量子系统，我们借助于差运算的思想研究了不可交换的量子逻辑结构，建立了左差、右差、伪差偏序集、双差集等概念，证明了伪差偏序集与伪效应代数等价，并得到了双差集的幺半群表示定理。

Hence, when taking the equivalent duals of all former statements, one ends up with a number of theorems that equally apply to Boolean algebras, but where every occurrence of '' ideal '' is replaced by '' filter ''.

因此，当采用所有前者陈述的等价对偶的时候，你可能终结于同等的适用于布尔代数的定理，但是这里所有''理想''的出现都被替代为''滤子''。

Then gives judging the vector linear relevance by the value of determinant, the order of matrix, the solution to uneven sublinear system of equations, Cramer principle, linear substitution, the theory of matrix and so on in the linear space and Ou Shi space, produces 13 equivalences of the vector linearity relevant under the dissimilar condition, and elaborates the widespread application of the vector linearity relevant through concrete examples.

在线性空间、欧氏空间中给出了运用行列式的值、矩阵的秩、齐次线性方程组的解、Cramer法则、线性变换、矩阵理论等知识来判定向量的线性关系，及不同条件下向量线性相关性的十三个等价命题，并通过具体例题阐述向量线性相关性的广泛应用。

In chapter 2, we continued to study the stabilities of such equivariant bifurcation problems and their unfoldings under the action of contact equivalent group.

本文第三章继续利用奇点理论中光滑映射芽的接触等价，研究状态变量和分歧参数均具有对称性的等变分歧问题，得到了状态变量具有D_6对称性、分歧参数具有Z_2对称性的等变分歧问题的两个识别条件，所得结果是进一步对这类分歧问题分类的基础。

Deletion of attribute references, subscriptions and slicings is passed to the primary object involved; deletion of a slicing is in general equivalent to assignment of an empty slice of the right type (but even this is determined by the sliced object).

对于属性引用，下标和片断的删除会作用到相关的主元对象，对片断的删除一般等价于对该片断赋予相应类型的空片断(但这也受被截为片断的对象的限制)。

Part II of this paper studies the structure of symmetric self-dual Lie algebras.

假设李代数g带有一个与Killing具有相同性质的型B，即具有双线性性，非退化性，对称性和不变性，由于这样的李代数g的伴随表示与它的余伴随表示等价，我们称李代数g为对称自对偶李代数，称型B为它上的一个不变数积。

OWL adds more vocabulary for describing properties and classes: among others, relations between classes (e.g. disjointness), cardinality (e.g."exactly one"), equality, richer typing of properties, characteristics of properties (e.g. symmetry), and enumerated classes.

添加了更多的用于描述属性和类型的词汇，例如类型之间的不相交性，基数，等价性，属性的更丰富的类型，属性特征（例如对称性，symmetry），以及枚举类型。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。