查询词典 divergence theorem

this article discusses the integral theorem of mean the promoted question, mainly has two aspects: On the one hand in analyzes in the teaching material under the first integral theorem of mean condition, had proven lies between the value spot to have to be possible to obtain in the open-interval, further discusses this knot promotes to the generalized Riemann integral, and further proved the conclusion also establishes to the promoted first integral theorem of mean; Promotes on the one hand in addition the integral theorem of mean to in the curve and the curved surface, and has proven the curvilinear integral theorem of mean and the surface integral theorem of mean.

本文讨论积分中值定理的推广问题，主要有二个方面：一方面在分析教材中第一积分中值定理的条件下，证明了介值点必可在开区间内取得，进一步将这个结论推广到广义Riemann积分，并进一步证明结论对推广的第一积分中值定理也成立；另一方面，将积分中值定理推广到曲线和曲面中，并证明了曲线积分中值定理和曲面积分中值定理。

The thesis will introduce, respectively, relevant concepts of residue theorem and its promotion and application in two parts In the basic concepts of chapter II, the definition, classification and relationship between function zero and pole of the isolated singular point are given to lead out relevant definition, theorem and solving method, while the core content of this paper is promotion and application of residue theorem, including calculation of integration by using residues, application in diagonal theorem and argument theorem, application in electromagnetism and theorem promotion and relevant application of extension theorems

本文将从两大部分分别引入和浅析了留数定理的相关概念及其推广和应用在第二章的基本概念部分中，给出了孤立奇点的定义和分类、函数零点与极点的关系，从而引出留数定理的相关定义与定理及其求法而本文的核心内容也就是留数定理的推广和应用，包括运用留数来计算积分、体现在对角定理与辐角定理中的应用、在电磁学中的应用及其定理的推广和推广定理的相关应用

Divergence Theorem: is a vector theorem that allows a surface integral of the normal component of the vector to be transfomed into a volume integral of the divergence of a vector, or vice versa.

散度定理：将矢量表面积分转换为体积积分的散度形式。

Differential intermediate value theorem and the Taylor formula In this paper, leads to Fermat's theorem Rolle Mean Value Theorem, and then constructing auxiliary function of the Lagrange mean value theorem and Cauchy's Mean Value Theorem to prove that.

微分中值定理和泰勒公式本文通过费马定理引出罗尔中值定理，再构造辅助函数对拉格朗日中值定理和柯西中值定理进行证明。

And the perfect Q-vector was applied to diagnose a heary rain process for August 3～5, 1996. The results showed that there were more advantageous using the perfect Q-vector, and suggested that the perfect Q-vector could clearly reveal the system development of the heary rain; the divergence center or line, the divergence field and the frontogenesis function field of the perfect Q-vector could be used to locate the heary rain area; the center magnitudes of the perfect Q-vector divergence field and the frontogenesis function field could be signified the intensity of the heary rain.

结果表明，完全Q矢量能较清楚地揭示暴雨天气系统的演变；考虑了湿过程的完全Q矢量在暴雨的诊断过程中显示了其更大的优越性；定性而言，完全Q矢量散度的辐合中心或辐合线、散度场和锋生函数场有助于确定暴雨的落区，暴雨区正好落在低层完全Q矢量散度场辐合中心和锋生函数场正值中心之间；定量而言，低层完全Q矢量散度场辐合中心和锋生函数场正值中心大小对暴雨强度有显著的指示作用。

By means of traditional criterions of generalized integral's convergence and divergence, this paper, from the analysis of integrated function's nature, discovers a series of new criterions, which are briefer and more suitable: on the aspect of generalized integral for functions of a single variable, through the investigation of integrated function, together with the inner relationship between positive series and generalized integral in infinite interval under the condition of positive function, it gives several criterions of generalized integral's convergence and divergence, which are similar to positive series' criterions of convergence and divergence.

本文从分析被积函数本身所具的性质出发，借助传统的广义积分敛散性判别方法，发现1系列更简捷适用的新判别方法：单变量函数广义积分方面，通过考察被积函数，结合正项级数与正函数情形下无穷区间上广义积分的内在联系，给出了几个与正项级数敛散性判别法相类似的广义积分敛散性判别方法；多变量函数广义积分方面，着重讨论了广义2重积分和广义3重积分，结合被积函数的特点，运用比较判别法和柯西判别法，本文给出了判别广义2重积分收敛的1种新方法。

Divergence variation of snow storm indicated that the formation of negative divergent variation in lower-layer predicted the shear convergence and the snow storm generation. Nongeostrophic vorticity and divergence of wind advection contributed to the divergence variation largely.

暴雪切变线的散度变率诊断表明，低层散度负变率带及中心的生成和发展预示着未来时期内切变线辐合区的形成和发展及暴雪天气的发生，其中非地转涡度和风速平流的散度项对散度变率的贡献较大。

After two-cluster testing,branch length testing and relative rate testing ,two sequences(Melantitta nigra and Aythya americana) of 15 Cty b sequences were deleted because thek evolutionary rate were heterogeneous. The divergence between Anseriformes and Galliformes was chosen as an anchor point. Nucleotide sequence and amino acid sequence of 13 sequences data set was used to calibrated Anatidae molecular clocks. The results indicated that amino acid sequence is better than nucleotide sequence when divergence time is calculated with two kinds of sequences. The reliable divergence time of Anatidae were estimated with """"1+2TiTv"""" model.

经过二簇检验、分枝长度检验和相对速率检验，删除2条速率不恒定的序列后，用剩余的13条序列，以鸡形目与雁形目的分歧时间(89.8MYA)为锚定点，用顺序标定法标定鸭科鸟类分子钟的分析结果表明，用&1+2TiTv&分析得到的鸭科鸟类的分歧时间比较可靠；氨基酸序列用泊松校正模型和Γ模型估计的分类单元间的分歧时间则比较一致，表明氨基酸序列更适合用于鸭科鸟类分子钟的研究；用同一基因标定分子钟时，较长序列得到的结果标准误比较小；与核苷酸序列相比，氨基酸序列更适于用作分子钟的标定。

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

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。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。