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equivalence relations
相关语句
  等价关系
    N-ary Fuzzy Equivalence Relations
    n元模糊等价关系
短句来源
    Relations Between N-ary Equivalence Relations and Functions
    n元等价关系与函数之间的关系
短句来源
    Arbitrary Cardinality-ary Fuzzy Equivalence Relations
    任意基数元模糊等价关系
短句来源
    Fuzzy Mixed Equivalence Relations
    Fuzzy混合等价关系
短句来源
    Fuzzy Mixed Equivalence and Strong Equivalence Relations
    Fuzzy混合等价及强等价关系
短句来源
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  “equivalence relations”译为未确定词的双语例句
    ON EQUIVALENCE RELATIONS AMONG SOME KIND OF GENERALIZED NILPOTENCIES IN X-GROUPS
    X-群中几种广义幂零性的等价性
短句来源
    In Chapter 2, a class of fuzzy finite automata corresponding to the Mealy type of ordinary automata is formulated and two types of statewise equivalence relations are introduced.
    同时,在新分类中,在同一类型中的各种原模糊有限自动机类型之间的等价或从属关系被证明和获得。
短句来源
    From the equivalence relations, a minimal form is defined and a minimization algorithm of the Mealy type of fuzzy finite automata is obtained.
    在第二章中,对应于经典Mealy型有限状态自动机的一类模糊有限状态自动机-新Mealy型模糊有限状态自动机被建立。
短句来源
    In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
    第1章介绍了凸集类对空间理论,及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
短句来源
    And so theorem 37, 37'refered to in[1]are also expanded. At the same time, a series of equivalence relations in respect to almost periodic recurrent motions are obtained.
    由此又推广了[1]的定理37、37,同时进一步得到与运动f(p,t)的几乎周期性相等价的一系列关系,从而把A.
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  equivalence relations
Finite Equivalence Relations on Algebraic Varieties and Hidden Symmetries
      
In each case the equivalence relations connecting the solutions of the radiation and diffraction problems are derived.
      
Such equivalence relations are said to be monadic.
      
Reducibility between monadic equivalence relations is studied.
      
The results obtained are similar to theorems of modern descriptive set theory on the reducibility of Borel equivalence relations.
      
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In this paper sufficient and necessary Conditions of almost periodic motiors f(P, t)are obtained. Thus, A. Markov’s theorem(i, e. theorem 38 in reference [1])is expanded. And so theorem 37, 37'refered to in[1]are also expanded. At the same time, a series of equivalence relations in respect to almost periodic recurrent motions are obtained. As a consquence, the results obtained by A. Markov, P. Franclin, V.V. Stepanov and A. Tihonov are unified.

本文推广了A.MapkoB的定理(即[l]定理38),得到f(p,t)为几乎周期运动的充要条件是:f(p.t)对于f(p;I)是正向Ляпунов均匀稳定,且是负向Lagr-ange稳定的。由此又推广了[1]的定理37、37,同时进一步得到与运动f(p,t)的几乎周期性相等价的一系列关系,从而把A.MapxoB的结果与P.Franclin ,B.B.Crenanon和A.Tихонов等所得到的关于f(p,t)几乎周期性的结果统一了起来。

In this paper sufficient and necessary Conditions of almost periodic motiors f(p,t) are obtained. Thus, A. Markov's theorem (i, e. theorem 38 in reference [1]) is expanded. And so theorem 37, 37' refered to in [1] are also expanded. At the same time, a series of equivalence relations in respect to almost periodic recurrent motions are obtained. As a consquence, the results obtained by A. Markov, P. Franclin, V. V. Stepanov and A. Tihonov are unified.

本文推广了■的定理(即[1]定理38),得到f(p,t)为几乎周期运动的充要条件是:f(p,t)对于f(p;I)是正向均匀稳定,且是负向Lagrange稳定的。由此又推广了[1]的定理37、37′,同时进一步得到与运动f(p,t)的几乎周期性相等价的一系列关系,从而把的结果与P.Franclin,和等所得到的关于f(p,t)几乎周期性的结果统一了起来。

If a relation - of a nonempty set A satsfies:(1) reflexive property,(2) symmetry, and(3) transitivity,then - is called an equivalence relation of A. If in the three axioms a relation only satisfies (2) and (3) (or only (l) and (3), or only (1) and (2)), then it is denoted by 1(or 2, or 3). Following the fact that apartition of subsets of A corresponds to an equivalence relation of A in this paper, a certain set of the subsets of A has been applied to the description of a relation 1 (or 2 or 3 ). On the one hand,...

If a relation - of a nonempty set A satsfies:(1) reflexive property,(2) symmetry, and(3) transitivity,then - is called an equivalence relation of A. If in the three axioms a relation only satisfies (2) and (3) (or only (l) and (3), or only (1) and (2)), then it is denoted by 1(or 2, or 3). Following the fact that apartition of subsets of A corresponds to an equivalence relation of A in this paper, a certain set of the subsets of A has been applied to the description of a relation 1 (or 2 or 3 ). On the one hand, these concretedescriptions can be regarded as a reference for the teaching of the equivalence relations; on the other hand,they also supply a simple material for the teaching of independence of an axiom and compatibility of an axio-matics.

对非空集合A,若关系~适合(Ⅰ)自反性,(Ⅱ)对称性,(Ⅲ)传递性,则称~为A的一个等价关系.把三条公理中仅(Ⅰ)(或(Ⅱ)或(Ⅲ))不成立的关系记为1(或2或3).依照A的一个子集分类对应A的一个等价关系,本文利用A的一些子集集来刻划关系1,2,3.这些形象的刻划一方面可作为等价关系教学的参考;另一方面也为公理独立性公理体系相容性教学提供了简单的材料.

 
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