程序始于基本数学过程的随机组合——加、减、乘、除和一些代数运算。
The program started with near-random combinations of basic mathematical processes - addition, subtraction, multiplication, division and a few algebraic operators.
对实变函数中某些重要的定义和结论运用代数运算的方法作统一处理，从而为电子计算机在该领域的应用作一探索。
This paper intends to expound some important definitions and conclusions in real variable function by using algebraic operation, thus making a new approach to the use of computers in this field.
方法简便实用，它将非平稳随机响应问题归结为复代数运算。
The method is straight-forward and efficient, since it reduces the nonstationary response problem to complex algebraic operations only.
热力系统分析分别经历了代数运算、矩阵计算、矩阵微分等阶段。
It has been pointed out that the thermodynamic system analysis has gone through phases such as algebraic, matrix, and matrix differential calculations etc.
该算法采用了简单快速的自适应空间域滤波和代数运算，提高了图像质量。
Simple, fast and adaptive spatial filtering and arithmetic operation are adopted by the algorithm and image quality is improved.
在光计算和并行信息处理领域中，用多种数位系统进行不同的算术和代数运算。
In the field of optical computing and parallel information processing, several number systems have been used for different arithmetic and algebraic operations.
离散事件动态系统（DEDS）矩阵模型是一种逻辑运算与代数运算的混合系统。
Matrix model for discrete event dynamic simulation (DEDS) is a hybrid system with logical and algebraic components.
双口网络t参数的理论计算，是通过建立基尔霍夫电压和电流方程，经过代数运算求出t参数。
The theory calculation of double network t reference data, based on the kirchhoff equation of electric voltage and current to get t reference data through algebra calculation.
最后，用时态映射定义的元组对双时态关系进行定义，并由此给出双时态关系代数运算的形式化描述。
Finally, bitemporal relation is defined as the set of the temporal mapping tuple, and the bitemporal relational algebra operations are described formally.
此外，还开发了用以形成模糊专家系统框架核心的推理机制，并通过线性模糊矩阵代数运算予以实现。
Moreover, a fuzzy inference mechanism was developed to form the core of fuzzy expert system frame, which could be realized through linear fuzzy matrix algebra.
谐振子算符的代数运算方法被用于研究磁场中同时与表面光学声子及表面声学声子相互作用的二维电子。
The method of the harmonic oscillator operator algebra has been used to study the two-dimensional polaron in a magnetic field.
以能量原理为基础，推导出变截面压杆计算临界力的简便方法，把复杂的积分运算归结为一个简单的代数运算。
Based on energy theory, a simple critical force calculation for pressed beam with variable cross sections is derived. It reduces the complex integration algorithm into a simple algebraic operation.
该文讨论了网络节点上包的代数运算与路由协议的结合方式，提出了IP编码网络中单、组播通信的实现方法。
This paper presents algebraic models of the packets and routing protocols and designs of communication models for both unicast and multicast communications in IP coding networks.
应用GF (P)上的代数运算和单向函数，构造了一种不用通行字表的远程通行字认证方案，并对该方案进行了安全性分析和计算特性分析。
A remote password authentication scheme is given only applying some arithmetic operation and an one_way function in field GF (p), and analyses this schemes security and computing property.
本文最后提出了一个适用于电流信号表示和电流运算的代数系统。
The paper concludes by presenting an algebra system which is suitable for current signal representation and operation on currents.
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.
由二阶谐波平衡法得到的非线性代数方程组很容易用符号运算软件求出。
The nonlinear algebraic equations for the second order approximate solution were solved by using symbolic computation software.
在高等代数教课书中，关于多项式的除法运算中余项的确定是以余式定理为依据且利用带余除法进行的，这是大家所熟悉的。
In the textbook of higher algebra, it is familiar to us that the remainder in the division operation of polynomial is on the basis of residue theorem and operated through division algorithm.
定义了模糊粗糙集合理的补运算，从而利用公理化方法构造出推广了的粗糙集代数。
With the definition about reasonable complement operation of the fuzzy rough set, a expanded rough set algebra is constructed by using the method of formula.
第一章是向量代数，主要介绍向量的线性运算、向量的内积、向量的外积、向量的混合积和双重外积。
The first chapter is about vector algebra, introduces the vector of linear operations, inner product of vectors, vector outer product, vector product and double mixed exterior product.
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;
运算，测量，数据分析和概率，代数。
Number and Operations, Measurement, Geometry, Data Analysis and Probability, Algebra.
本文建立了八元向量代数，它既是一种方阵代数，又作为一个更加完备的运算系统而包含了复数、矢量和四元数。
The eight-vecter algebra is found in the paper, as a kind of square matrix algebra and as more complete operation system containing the complex number vecter algebra and quaternion numbers.
本文对于多值逻辑代数系统中的基本运算和实现这些基本运算的门电路，作了必要的阐述。
This paper gives a necessary introduction to the base operation of the multi-valued logic algebra system and fundamental gate circuit for realizing these base operation.
计算机代数系统的处理对象虽然是符号公式，但也需要整数运算，并且需要的是无限精度整数运算。
Although the objects processed by a computer algebra system are usually symbolic formulae, it is necessary for the system to operate with integers and even with infinite integers.
本文主要研究了等价关系的交并运算，建立了等价关系对于交并运算的代数结构。
This Paper study the intersection and union operations, with it establishes the algebraic structure of equivalence relations.
有自己独特的运算结构和系统，并且与三角函数、平面几何、空间几何、代数等都有密切联系。
Vector has its operational method and system unique to number, and it is closely connected with algebra, geometry and so on.
本文通过对《线性代数》中矩阵概念及运算的形成过程的探讨，给出了一种新颖的关于矩阵概念，运算及应用的教学设计。
In this article, We give a new teaching design about matrix conception and operation and application by probing into the process of matrix conception and operation.
本文通过对《线性代数》中矩阵概念及运算的形成过程的探讨，给出了一种新颖的关于矩阵概念，运算及应用的教学设计。
In this article, We give a new teaching design about matrix conception and operation and application by probing into the process of matrix conception and operation.
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