divergence theorem
- divergence theorem的基本解释
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发散定理, 散度定理
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The Fundamental Theorem of Calculus in Higher Dimensions; Additive Measures, Stokes Theorem and the Divergence Theorem
微积分在多维中的基本定理:加性测度,斯托克斯定理以及散度定理
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Based on the fundamental theory of impulsive differential systems, employing Green formula, Gauss divergence theorem, Jensen inequality and Gronwall-Bellman inequality with impulse, we discuss the oscillation of impulsive partial differential systems by adopting reduction to absurdity and the stability in via of comparison theorem, respectively. Especially, we take an in-depth study on the oscillation of neutral impulsive parabolic systems and the stability of a class of nonlinear impulsive partial differential equations and obtain some useful conclusions.
本学位论文以脉冲微分系统基本理论为基础,利用反证法的分析方法和比较定理,结合Green公式、Gauss散度定理、Jensen不等式、含脉冲的Gronwall-Bellman不等式以及相关数学工具研究了脉冲偏微分系统的振动理论和稳定性理论,特别对中立型脉冲时滞抛物系统的振动性和一类非线性脉冲偏微分系统的稳定性作了较为深入的研究,给出了一些有用的结论。
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Some sufficient criteria were obtained for oscillation of all solutions of such systems under first boundary value conditions by employing Gauss' divergence theorem, the integral inequalities and some results of the functional differential equations.
研究一类具非线性扩散系数的中立型双曲泛函偏微分方程组的振动性,利用Gauss散度定理、积分不等式和泛函微分方程的某些结果,获得了该类方程组在第一类边值条件下所有解振动的若干充分判据,结论充分表明振动是由时滞量引起的,同时也揭示该类方程组与普通双曲型偏微分方程组质的差异。
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Consequently, Divergence theorem, Green's theorem and Stokes' theorem those very important and active applications in applied engineering are our main goals of this course.
譬如说,Divergence Theorem、Green's Theorem、Stokes' Theorem等,这些在物理学、流体力学、应用力学以及电磁场学上被广泛应用的重要定理。
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In the second chapter, we consider a kind of Kolmogorov system. The sufficient condition for nonexistence of the closed orbit and existence of the unique and stable limit cycle are obtained by using divergence integral, Poincare-Bendixson theorem and Zhang Zhifenunique theorem.
第二章讨论了一类Kolmogorov系统,利用发散量积分、环域定理和张芷芬唯一性定理,得到了该系统无闭轨的充分条件和存在唯一极限环的条件。
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Gauss divergence theorem:高斯散度定理
高斯 gauss | 高斯散度定理 Gauss divergence theorem | 高斯精密度权重 Gauss precision weight
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divergence theorem:散度定理
Green 定理是数学分析中最重要的定 理之一, 而在三维与更高维空间的推广- Stokes 定理与散度定理 (Divergence Theorem) 则构成了应用数学的基础. 2. 微积分基本定理: 微分与积分的关系这是微积分的主要房 角石, 实际上这正是牛顿与莱布尼兹对微积 分最重要的贡献,
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divergence theorem:輻散定理
divergence line 輻散線 | divergence theorem 輻散定理 | divergence theory of cyclogenesis 旋生輻散說
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divergence theorem:散度定理,发散定理
"divergence of wave ","波之发散" | "divergence theorem ","散度定理,发散定理" | "divergent ","发散的,分散的,扩散的"
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The divergence theorem:散度定理(公式)
Gauss' theorem 高斯定理(公式) | The divergence theorem 散度定理(公式) | Stokes' theorem 斯托克斯定理(公式)