布尔代数上保序对合映射与对称运算等价；
The order-preserving doubly mapping on a Boolean algebra equivalents to symmetry operation;
这些元素比较两个值，产生一个布尔代数结果。
These elements compare two values, producing a Boolean result.
对这项技术应用的基本原理是电路和布尔代数。
The underlying principles of the application of this technology are electrical circuits and Boolean algebra.
本文提出一个克服布尔代数失效的电路三要素理论。
This paper presents a theory of three essential circuit elements (signal, network and load) for surmounting failure of Boolean algebra.
本文刻画了布尔代数上强保持交换矩阵对的线性算子。
In this paper, the linear operators that strongly preserve commuting pairs of matrices over are characterized.
同时也刻画了布尔代数上强保持交换矩阵对的线性算子。
And also we characterize the linear operators that strongly preserve commuting pairs of matrices over Boolean algebras.
本文介绍了泛布尔代数的数学模型、公理体系和化简方法；
This paper introduces the mathematics model, axiom system and simplified method of the Panboolean alegara.
证明了离散格是一个布尔代数，给出了离散格的表示定理。
It is proved that this lattice is a Boolean algebra, and the representation theory of discretization lattice is given.
对一般布尔代数上的布尔置换进行了研究，即第二章第一节。
In the first section of the second chapter, the Boolean permutation on general Boolean algebra has been studied.
这里分别定义了具有两个和四个元素的布尔代数的布尔运算。
There define the Boolean operations for Boolean algebra of two and four elements, respectively.
本文的工作对进一步完善布尔代数的四则运算理论具有一定的意义。
The paper is of certain significance to improve the four fundamental operations theory of Boolean algebra.
有限的对称布尔代数都是某个带有一个对合映射的集合x上的集合代数。
All finite symmetry Boolean algebra are set algebra of a certain set X, Which has a doubly mapping.
按位运算符会对两个自变量中对应的位执行布尔代数，并最终生成一个结果。
Bitwise operators perform Boolean algebra on the corresponding bits in the two arguments to produce the result.
由于在布尔代数中，不管有多少数目多少算术操作，就只有0和1两种可能。
Remember that in the world of Boolean algebra, there are only two possible values for any quantity and for any arithmetic operation: 1 or 0.
例如，上文定义的集合t的集合代数就对应与一个有32个元素的布尔代数。
For example, the set algebra for the set t defined above corresponds to a Boolean algebra of 32 elements.
布尔代数所需的推理过程是通过开关来实现的，这些开关起着逻辑电路的作用。
The reasoning process called for by Boolean algebra are implemented through switches acting as electronics logic circuits.
这种方法不同于布尔代数和卡诺图的分析方法，它更有利于实现数字系统的设计自动化。
This method differs from the methods of Boolean-algebra and Karnaugh-map, and it will be of benefits to the design-automation of digital systems.
布尔代数上何时存在正测度的问题，虽已有相对完整的结果，但多附有一些集论的假设条件。
When there is a positive measure on Boole algebra? This problem had more complete results, but they require some set-theoretic hypothesis usually.
采用布尔代数化简法求出系统的最小径集，给出了事故树中基本事件的结构重要度分析结果。
The minimal path sets (MPS) are achieved by Boolean algebraic simplification calculation. The authors put forward the analyzing result of the structural significance of the basic event.
针对多纸种造纸机纸页定量控制系统的特点，提出了一种基于泛布尔代数的自整定pid控制方法。
A method of auto tuning parameters for PID controller based on the Pan Boolean algebra is introduced according to its parameters which affect the performance of the PID controller.
以泛布尔代数理论为依据，以城市主干道十字路口为研究对象，设计了一种新的交通灯逻辑控制模型。
Pan Boolean algebra-based logical control model of the traffic light is designed in this paper, with an illustration of crossroads in the urban trunk roads.
在这篇论文中，定理“任意两个具有相同有限个原子的可数无穷布尔代数是同构的”的一个证明被给出。
In this paper, a proof of the theorem on "Any two denumerable Boolean algebras with atoms of the same finite number are isomorphic" is given.
依据传感器选择优化的特点，引入无限布尔代数理论，基于此，提出一个传感器优化问题的MINLP模型。
Based on the fault information matrix obtained from the bipartite graph model and the Boolean algebra system, a MINLP model orienting sensors optimization is proposed.
DB 2UDB没有为位数据类型或布尔数据类型提供本机支持，它既不支持逐位操作，也不支持布尔代数操作。
DB2 UDB does not have native support for bit or Boolean data types, neither for bitwise operation nor for Boolean algebra operations.
DB 2UDB没有为位数据类型或布尔数据类型提供本机支持，它既不支持逐位操作，也不支持布尔代数操作。
DB2 UDB does not have native support for bit or Boolean data types, neither for bitwise operation nor for Boolean algebra operations.
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