查询词典 algebraic adjunction

In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution.

在代数方程、微分方程和积分方程的求解问题中，通常把所求的解归结为度量空间中映射的不动点，然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。

Since things fit in such categories typically in degrees, a family-resemblance model may in the final analysis be much more informative, as long as one recognizes that variation in any of the ecological parameters amounts more or less to changing the value of a variable in an algebraic formula and yielding a different language variety as output.

由于这种东西适合于各类典型度家庭模式可在形似归根到底更为翔实、只要承认一个生态参数变化的任何数额或多或少地改变价值变了，产生了代数公式输出为多种不同语言。

They are :(1) The generalization of mathematical methods;(2) The mathematical method of formulization;(3) The proof of construction;(4) The introduction of algebraic symbols.

在宋元数学中，出现一些新的思想、方法和理论，主要有：(1)数学方法的一般化；(2)程序化的数学方法；(3)构造性的证明；(4)代数符号的引入。

First, the physical models associated with dislocations and cracks are respectively converted to mixed boundary value problems in mathematics. Secondly, by using the Fourier transform, a dual integral equation for a crack and an algebraic equation for a dislocation can be derived from the boundary conditions relating with a crack and a dislocation, respectively. Solving these equations, exact analytical solutions can be obtained in terms of Bessel functions in close-form.

先把位错和裂纹的物理模型写成与它们相关的边值问题，然后，利用Fourier变换将这些边值问题化成一个对偶积分方程(对位错而言，得到一个代数方程)，求解此对偶积分方程，可以获得以Bessel函数给出的封闭形式的分析解。

In Chapter 3,the exponential stability and its algebraic criteria for a linear degenerate functional differential equation is discussed.

第二章在n维空间中讨论了中立型多时滞泛函方程的通解表示和指数稳定性，得到与一维空间中类似的结论。

In Chapter 4,we study further the exponential stability and its algebraic criterion for a linear neutral degenerate functional differential equation.

第三章考虑了一类线性退化多时滞泛函微分方程，给出了解的指数稳定及其指数稳定的代数判据。

In chapter five, by the methods of analysis of interval matrix and Lyapunov functional, the absolute stability and robust absolute stability for several types of delay Lurie control systems with multiple nonlinearities was investigated, and some algebraic criteria were obtained.

在第五章，用Lyapunov泛函和区间矩阵分析方法，讨论了几类时滞多非线性Lurie系统的绝对稳定性及鲁棒绝对稳定性，并得出了一些代数准则。

This course will focus on some fundamental knowledge and methods of general topology and algebraic topology, including the theory of topological spaces, continuous maps, fundamental group, the theory of covering spaces and simplicial homology and so on.

本课程将着重介绍点集拓扑学和代数拓扑学的一些基本知识和基本方法，包括拓扑空间理论、连续映射、基本群、覆盖空间理论和单纯同调群理论等。

Secondly, the algebraic decoding algorithm, used in the printer system, and operational principle in Galois field are explained in this thesis.

其次，讨论了该喷绘机系统所采用的RS码的代数编码和译码算法，以及伽罗瓦域内的运算规则。

In the case ofreflectionlessness,after determining the gauge transformation,expressions of multi-soliton solutions of the L-L equation with an easy plane are obtained explicitly bysolving the linear algebraic equations with the aid of the well-known Binet-Canchyformula.

由于要克服因Jost解在参数趋于无穷时不独立于L-L方程的解的困难，必须引进规范变换，这是不涉及微分方程的Riemann问题方法无法解决的。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48