查询词典 mapping theorem

Aim at the false-solutions(the meaning is the solutions do not satisfy the divergence theorem) of FEM, impose the magnetic divergence conditions

针对有限元数值解中存在的伪解问题(即求出的解不满足相应的散度条件)，推导出了强加散度条件的磁场有限元系数矩阵的表达式，本文混合法中的有限元系数矩阵即是在此基础上形成的。

This thesis mainly investigates the single food chain Chemostat models, analyzing the stability of equilibrium points, the existence and uniqueness of periodic solutions as well as the Hopf bifurcation theorem.

本文主要探讨单食物链微生物培养模型的解的稳定性，周期解的存在性和唯一性以及分支问题。

In this paper, an important theorem which is used in the conversion of Coons surface to NURBS surface is discussed.

给出了这个定理的一种构造性证明。定理的证明过程同时也给出了转换方法。

A construction proof of the theorem is proposed and the proof process also gives a method to convert Coons surface to NURBS surface.

这个定理在Coons类曲面向NURBS曲面的转换过程中起到了重要的桥梁作用。

To avoid spread of epidemic among test papers correctors in confined spaces, the Ministry of Education decided to cancel the Mandarin composition, English composition and Mathematic questions that involve theorem proving.

为避免封闭空间人工阅卷造成传染严重急性呼吸道症候群，教育部决定不考国文作文、英文作文和数学证明题 92年大学指定科目考试

We would simply require them to recognize, appreciate, and memorize the great pieces of language of the past - literary equivalents of the Pythagorean Theorem and the Law of Cosines.

我们仅仅需要他们认识、欣赏、记住历史上伟大的语言篇章——就好比是数学中毕达哥拉斯定理和余弦定理。

We give all of these properties by means of theorems, and also give detail proofs. In the most important theorem, we give the relation between singularity and jumps and sharp cusps neighborhood. and the threshold detection of jumps and sharp cusps, and the relation between threshold and scales, where we partly resolve an open problem put forward by some researcher.

在最关键的定理中，给出了奇异性与突变点和尖点的领域的关系，以及突变点和尖点的阀值检测法，以及阀值和尺度的关系，这部分的解决了以前研究者提出的一个公开问题，同时研究了逼近程度和逼近理论，这在已有的基础上又向前进了一步。

The paradox in this article just means that the conclusion drawn from certain theorem of deontic logic does not accord with people's direct or common sense or habitual understanding, not means what we generally called, which would lead to contradictions in logical system.

文中所说的&悖论&，只是指由道义逻辑中的某个定理推出的结论，与人们在直观上或常识上或习惯上的理解是不相符的，也不是通常说的那种会导致逻辑系统产生矛盾的悖论。

Daubechies'wavelet frame theorem is extended from one dimension to n dimensions. According to this framework, an example of n-dimensional radial wavelet is given. Differing from tensor product multidimensional wavelet, the radial wavelet is inseparable, locally supported and infinitely differentiable. The family, obtained by dilations and translations from this radial wavelet, constitutes a special type of radial wavelet frame in L〓.

Daubechies的框架定理推广到了n维情形，同时，也按照这一理论框架，给出了高维二进径向小波的具体例子，具有下列性质：ψ是无穷次连续可微的；ψ是局部支撑的，支集为‖x‖≤1；ψ含有分式因子，因此对&奇异点&更为敏感；ψ是不可分的，不同于张量积形式的高维小波；ψ是各向同性的。

The following exciting results are revealed: 1 When considering the influence of some nonlinear elements such as hard-limit of exciters, the effects of some devices such as Power System Stabilizer and Static Var Compensator which can introduce positive damping in power system, the reasonability of system parameter values in simulation, the SNB surface and HB surface on the boundary of SSSR will turn close to each other and even coalesce together; 2 Under some conditions, coupling between slow exciters and shunt capacitors will bring negative damping in power system dynamics, which increases the possibility of oscillatory instability. So the power system with mass shunt compensators is easily subjected to the oscillatory instability. In recent years, chaotic phenomena of power system have been reported many times. Some simulation studies even found chaos existing inside the power system SSSR. In this dissertation, chaotic phenomena in power systems are thoroughly studied in order to make clear the relation of chaos and SSSR. The following results are derived: 1 Based on Li-Yorke Theorem and their definition on the chaos, the existence of chaos in power system is verified; 2 Three possible routes of causing chaos in power system are found and deeply investigated. They are route of cascading period doubling, route of directly initial energizing and route of torus bifurcation (or quasi-periodicity). The latter two routes are investigated for the first time in power system stability studies; 3 When the stability conditions of chaos are broken, it is found they can lead to voltage collapse, angle divergence, or voltage collapse with angle divergence simultaneously.

针对在电力系统小扰动稳定区域内可能存在混沌吸引域的有关报道，本文深入研究了电力系统混沌现象的出现途径和与系统失稳模式之间的关系：1利用Li-Yorke定理和Li-Yorke的混沌定义，从理论上证明了电力系统混沌现象的存在性；2发现了电力系统中导致混沌出现的三种可能途径：倍周期分岔导致混沌、初始能量直接激发混沌和经由环面分岔导致混沌，并对后两种新发现的途径进行了较为细致的研究；3发现了混沌极限环破裂导致电压崩溃、角度失稳以及电压崩溃和角度失稳同时出现的现象，其中混沌极限环破裂导致系统角度失稳和电压崩溃及角度失稳同时出现的现象均属首次报道；4证明由微分-代数方程描述的系统模型，其小扰动稳定域的边界只包含HB、SNB和SIB三种分岔界面，在SSSR的内部和边界上，均不可能存在会导致混沌的点，从而将混沌现象排除在小扰动稳定域的研究之外，简化了后者的研究工作。

Apllied the data of QuickBird-2——the highest resolution remote sensing,and based on the theory and methodology of fractal geometry,we have quantitatively studied remote sensing lineations in Gaolong gold deposit of Guangxi.

采用Quick Brid-2高分辨率卫星遥感数据，通过分形几何学的盒计维数法，定量研究广西高龙金矿区遥感线性构造。

So, sometimes, to change the color can not be your food (referring to the above-mentioned crustacean) has been a sign of boiling over.

所以，有时，来改变颜色，不能你的食物一直是沸腾了的迹象。