algebraic翻译（数学名词“伴随矩阵；正交矩阵；行列式；代数余子式”的英文翻译是什么）

本文目录

• 数学名词“伴随矩阵；正交矩阵；行列式；代数余子式”的英文翻译是什么
• 论文的翻译
• 帮忙翻译代数方面的文献，速回（汉译英）
• algebraic topology中文翻译
• 跪求翻译成英文啊 谢谢帮忙

数学名词“伴随矩阵；正交矩阵；行列式；代数余子式”的英文翻译是什么

伴随矩阵：adjugate (matrix)
adjoint这个术语有歧义，现在已经很少使用了
正交矩阵：orthogonal matrix
行列式：determinant
代数余子式：cofactor
不需要加上algebraic

论文的翻译

正弦稳态电路sinusoidal steady-state circuit
向量法Logit Model
相量法phase method
Logit Model in Sinusoidal Steady-state Circuit Analysis
电阻Resistance
导纳admittance
欧姆定律Ohm’s law
代数方程algebraic equation
Inductance电感
Capacitance电容
Impedance阻抗
直流电路direct circuit
回路法loop current method
结点法method of joint
叠加定理 Superposition Theorem
戴维宁定理Thevenin’s theorem
等效电源原理equivalent source theorem
Abstract

The analysis of sinusoidal steady-state circuit use the phase method. The phase method means that the voltage and circuit are expressed as phase, and the RLC components are expressed as resistance or admittance，then the phase model of the circuit are sketched out，the algebraic equation of unknown voltage and circuit phase are written out with the phase formation of KCL,KVL and Ohm’s law.
Through the introduction of the phase method，and set up the definitions of resistance and admittance，the author gives out the phase formation of KCL,KVL and Ohm’s law，for their forms are entirely the same as that of the formula used in analysis of direct circuit，we can analyze the phase model of sinusoidal circuit directly using the methods, principles, laws that used in analysis of direct circuit, for example, the net hole method（loop current method），the method of joint，the superposition theorem，Thevenin’s theorem，the equivalent source theorem. The differences lie in :（1）Express all the relations without citing the instantaneous expression of voltage and current, but as the forms of corresponding phases; （2） The corresponding calculations are not algebraic calculations but plural calculations, so the calculations are more difficult than those of the direct circuits. According to the characters of plural calculations，we can sketch out the phase graphics and simplify the calculations with the help of geometrical relations in the phase graphics，therefore extend the thought and method of solving problems.
Keywords：KCL，KVL，Resistance，Inductance，Capacitance，Impedance，Admittance，Sinusoidal cross circuit

帮忙翻译代数方面的文献，速回（汉译英）

As a middle school mathematics curriculum content of the main elementary algebra, and its core is a theoretical equation. The Latin word algebra is intended to "go home." Algebraic equations in the theory of elementary algebra is a dollar linear equation to the two expansion : One is to increase the number of unknowns. inspected by several unknown number of equations posed by the binary or ternary equations (linear equation is the main group); Second is the increasing number of unknowns, inspected one yuan quadratic equation or quasi-quadratic equation. Elementary Algebra in the main contents of a 16th-century development has been basically perfect. Substituting mathematical symbols development history can be divided into three stages. The first stage of the three centuries ago, the solution to the problem need not abbreviations and symbols, but wrote a thesis as narratives algebra. The second stage of the third century to the 16th century, some of the more frequent operation and the quantity used shorthand, known as algebraic simplification. Three century Diophantine one of the outstanding contribution that Greece algebra simplify, simplify algebraic created. But then narratives algebra, in addition to India outside the rest of the world, and they are very ordinary existence for several hundred years, especially in Western Europe until the 15th century. The third stage of the 16th century, the solution of the problem showed the most symbolic of mathematical shorthand These symbols with the performance of the content is no obvious link, known as algebraic symbols. D Whyte (Vi è te), in his "analysis Easy" (analyticem is Inartem agoge,1591) works, the first systematic use of symbols of unknown value calculation, Operators made with a number of symbols of the difference between the provisions of the algebra and arithmetic boundaries. D Whyte is the first attempt to create a general symbol algebra mathematician, he created the algebraic symbols, by Descartes (Descarte) improved as a modern form. Descartes use lowercase letters a, b, c and expressed known quantity, with the x, y, z on behalf of unknowns. This usage has become standard usage. The concept of several Extension in history is not all made by the algebraic equations arising from the But there are still accustomed to it on the elementary algebra, so this course with the same arrangements. 4 century BC, the ancient Greeks found unreasonable number. 2 century BC (Western Han Dynasty), China started to use negative. 1545, the Italian Cardano (N. Cardano) in the "big operation" started to use imaginary number. 17 end of the century, the general index concept is only gradually taking shape.

algebraic topology中文翻译

Indeed, readers famipar with the fundamentals of algebraic topology can easily prove the correctness of this presentation .
事实上，熟悉代数拓扑基本原理的读者容易证明这个表示的正确性。

The notion of fundamental group also came from topology . there are close relations with simple connectedness in representation theory of algebras for fundamental group , as was in algebraic topology
基本群的概念同样来自拓扑学，同它在代数拓扑中一样，它在表示论中与单连通性也有密切的联系。

Abstract : in this paper we servey some recent trands of apppcations of the method of algebraic topology to simple graphs . some fundamental concepts are introduced with theorems . several new problems are proposed
文摘:我们从组合拓扑方法在图论的应用中,著重介绍与图有关的几种复形的近期研究动态,论述其中一些带基础性的问题,并提出一些可供研究的新问题

To pletely avoid producing elements jointed at their corner nodes and checkerboard patterns , which frequently occur when the topology optimization of plane continuum is studied , the theory of topology *** ysis of plane continuum in topology optimization process and the simple algorithm for programming are studied . according to algebraic topology theory , the boundary of elements and plane continuum are operated as a one - dimensional plex . by use of the adjacency vector in graph theory , the structural topology is described and the topological operation is achieved on a puter . by above , the structural topological feature in the evolutionary process is gained . these methods are effcient and repable . under topology constraints , according to the results of stress *** ysis , by deleting elements and moving nodes at the boundary , more satisfactory results can be gained by using a few numbers of elements and iterations . to demonstrate the efficiency of these methods , solutions including some well - known classical problems are presented
避免目前平面连续体结构拓扑优化过程中经常出现的单元铰接以及“棋盤格”等现象，研究了连续体结构拓扑优化过程的拓扑分析方法，以及在计算机上实现的简便算法.根据代数拓扑理论，单元及连续体的边界作为1 -复形进行运算.利用图论中的邻接向量概念，在计算机上实现了结构的拓扑描述及拓扑运算，得到了结构在拓扑演化过程中的拓扑特性，方法简单、可靠.在一定的拓扑约束下，根据应力分析结果，采用删除单元、单元退化、移动节点等方法，可以用较少单元得到更为满意的结果，提高计算效率.为演示方法的有效性，给出几个包括常见经典问题的解答

跪求翻译成英文啊 谢谢帮忙

Four color problems say four color conjecture, are one of world three big mathematicses difficult problems the modern times. In the process of "four color problem " research, many new mathematics theory has produced , also developed many mathematics art of computation with that. Comment on problem if the map tinting problem Hua Wei is pursued, content having enriched picture in terms of. Four color problems research has commented on to plan theory , algebraic topology , development of theory such as limited projective geometry and calculator code programming has got the push effect.