idempotent
This idempotent ultrafilter enables us to find an appropriate infinite set.
这个幂等的超滤子能使我们找到一个适当的无限集。
The "get" method should be used when the form is idempotent (i.e.
上面几句话在我们的实际运用中有什么作用呢？
This method does not need to be either safe or idempotent.
该方法不需要安全或者等幂。
It follows that every nonempty periodic semigroup has at least one idempotent.
得出了所有非空周期半群都有至少一个幂等元。
If it is finite and nonempty, then it must contain at least one idempotent.
如果它是有限和非空的，则它必须包含至少一个幂等元。
The closure is idempotent : the closure of the closure equals the closure.
闭包是幂等 的: 闭包的闭包等于闭包。
For example, a service that inquires about the progress of an order is both safe and idempotent.
比如,查询订单进展情况的服务既是安全的也是幂等的。
Functions that satisfy these conditions are called deterministic or idempotent functions.
满足这些条件的函数称为确定型或等幂函数。
This paper gives the Bellman inequalities of idempotent matrix on the some conditions.
给出了幂等矩阵在一定条件下的Bellman不等式
For example, every nonempty finite semigroup is periodic, and has a minimal ideal and at least one idempotent.
例如，所有非空有限半群是周期性的，并有一个极小理想和至少一个幂等元。
This model occupies some properties of additive standard synthesis function, namely, monotonic, limited and idempotent.
该模型具有数值可加型标准综合函数所具有的性质，即单调性、有界性和幂等性。
Each subgroup contains exactly one idempotent, namely the identity element of the subgroup.
每个子群精确的包含一个幂等元，也就是这个子群的单位元。
An idempotent operation is one that has the same result no matter how many times it is performed on the same data.
幂等操作指的是对于同一数据，不论对其进行任何次幂操作，总是得到相同的结果的操作。
Inclines are additively idempotent semi rings in which products are less than or equal to either factor.
摘要坡是个加法幂等，乘法小于或等于其因子的半环。
The GET method should also be idempotent, meaning that it can be safely repeated.
GET方法应该是等幂的，意味着它可以安全地重复。
It is proved that every nonzero ideal in a finite-dimensional semi-simple algebra over a field is generated by an unique central idempotent.
证明了域上有限维半单代数的每一个非零理想由唯一的中心幂等元生成。
Assume P and Q are two idempotent operators, we can get necessary and sufficient conditions which PQ QP are invertible operators.
设P和Q是两个幂等算子，得到了PQ±QP是可逆算子的等价命题。
By means of the equality it is simpler to prove some properties of the adjoint matrix,especially for the idempotent and nilpotent matrices.
此外,应用这一等式,十分简洁地证明了关于伴随矩阵的若干性质. 尤其是关于幂等和幂零阵的伴随阵的性质证明.
The maximum idempotent - separating congruence on a S - semigroup is characterized and a fundamental representation of a such semigroup is given.
刻划了S-正则半群上的极大幂等元分离同余并给每个S-正则半群一个基本表示。
For example, repeating queries is both safe and idempotent, but buying a product online or modifying data is neither safe nor idempotent.
比如。重复查询既是安全也是等幂的，但是在线购买商品或者修改数据则既不安全也不等幂。
Nine equivalent conditions of real idempotent matrix are given and proved,and one equivalent condition of real symmetric idempotent matrix is also given in this paper.
给出并证明了实幂等矩阵的九个等价条件,以及实对称幂等矩阵的一个等价条件。
Let R be an abelian ring (all idempotents of R lie in the center of R), and A be an idempotent matrix over R. The following statements are proved: (a).
设R是一阿贝尔环（R的所有益等元都在中心里），A是R上的一幂等阵·本文证明了以下结果：（a）A相抵于一对角阵当且仅当A相似于一对角阵；
The necessary and sufficient conditions of similarity of two idempotent matrices are proved, the idempotency of linear combinations of two idempotent matrices is discussed.
摘要证明了数域上两个同阶幂等阵相似的充要条件是它们有相同的秩；给出了幂等阵的相似标准型；讨论了两个幂等阵的线性组合仍是幂等阵的充要条件。
This matrix is idempotent.
这个矩阵是等幂的。
Barry Gardner defined the radical classes and semi-simple classes in the variety of idempotent algebras. And most traditional results in the variety of associative rings hold in the varieties with permutable congruences.
Barry Gardner在幂等代数族中定义了根类和半单类,并且证明了许多在结合环族中成立的结果在同余可换族中也成立。
In this paper we characterize idempotent preserving linear operators of upper triangular matrix R-algebra ?_n(R)over commutative integral domain R. We also determine involution preserving linear operators of ?_n(R) and R -algebra antomorphisms of ?_n(R).
刻划了交换整环R上的n×n上三角矩阵的R-代数?_n(R)的保幂等的线性算子,由此又确定了?_n(R)的保对合的线性算子以及R-代数自同构。
By idempotent left-side simple Quantale being spatial Quantale, it is proved that an idempotent left-side Quantale is spatial iff it is a sub-Quantale of product of some idempotent left-side simple Quantale.
利用简单幂等左侧Quantale是空间式Quantale的结论,证明了幂等左侧Quantale是空间式Quantale当且仅当它是简单幂等左侧Quantale的乘积的子Quantale.
It is obtained that the integer completely idempotent rings are fields.Two characterization are gained that the completely idempotent rings with element are L-semisimple and B-semisimple.A class of finite completely idempotent rings is solved with |R|-p2.
首先得出整完全幂等环是域的结论，其次给出有单位元的完全幂等环的两个刻划，即有单位的完全幂等环是L-半单的，B-半单的，最后给出了一类有限完全幂等环的结构.
Sufficient and neccessary conditions for a semigroup S in whicheach left or right translation is idempotent are given. As a corrollary, when S is commutative, its structure is described.
给出了半群中每左平移或右平移均为幂等元的充分必要条件.作为推论，得出了此类交换半群的一个结构刻划.
Actually function-tree is an application of Boolean theory.Function-tree can be optimized by using absorptive law and idempotent law in Boolean algebra to remove redundant information.
功能树本质上可视为是布尔代数理论的一种应用，从而利用布尔代数的吸收律、幂等律来消除功能树中的冗余信息，对功能树进行优化处理。
Abstract： Sufficient and neccessary conditions for a semigroup S in which each left or right translation is idempotent are given.As a corrollary, when S is commutative, its structure is described.
摘 要： 给出了半群中每左平移或右平移均为幂等元的充分必要条件.作为推论，得出了此类交换半群的一个结构刻划.
The class idempotent function composing systems of orthogonal idempotents is one of the fundamental tools in constructing symmetry functions and it plays an important role in symmetry designs.
构成这些正交幂等系统的类对称算符，是构造对称函数的基础工具之一，其在对称设计中扮演着重要的角色。
A Description of the Idempotent Matrix
幂等矩阵的刻划
Idempotent Completions of Operator Partial Matrices
缺项算子矩阵的幂等补
On Weak Completely Idempotent Rings
关于弱全幂等环
Third kind idempotent matrix of kank
三类幂等矩阵的秩
On the Adjoint Matrix of a Real Idempotent Matrix
实幂等矩阵的伴随矩阵
Discuss a Properties of Real Idempotent Matrix
实幂等矩阵的性质探讨
On A Subvariety of An Idempotent Semiring
关于幂等元半环簇的一个簇
Idempotent and Right-sided Quantale
幂等右侧Quantale
k degree idempotent transformation
k次幂等矩阵
idempotent law transformation theorem
幂率变换定理
idempotent over polynomial residue class ring
多项式剩余类环
idempotent principal self-generator
主自生成子
generalized real idempotent matrix
广义实幂等矩阵
linear combination of idempotent matrix
幂等矩阵的线性组合
ON IDEMPOTENT AND NILPOTENT MATRICES OVER COMMUTATIVE RINGS
关于交换环上的幂等阵与幂零阵
On Semigroups in Which Each Left or Right Translation Is Idempotent
每左平移或右平移均幂等的半群
Idempotent Elements in Sandwich Semigroups cf Boolean Group Algebra
布尔群代数夹心半群中的幂等元
Idempotent Ranks in Strictly Partial Transformation Semigroups
严格部分变换半群的幂等元秩