查询词典 Picard

In this thesis,we consider the problem basing on the Picard-Fuchs equationand bifurcation theory,also using known methods and techniques.We establish therelationship between the number of zeros of the Abelian integral and the number ofintersection points of the"centroid curve"with any straight line.

本文以Picard-Fuchs方程和分岔理论为基础，充分利用已有的方法和技巧，把对Abel积分零点个数的研究转化为对"质心曲线"和任意直线交点个数的研究。

For the case of n=2 and X〓 is generic, by using Picard-Fuchs equations and the argument principle Horozov and Iliev [36] gave the least upper bound of the number of zeros of I under the condition that X〓 has one center and three saddles.

当n=2且X〓为通有的Hamilton系统时，Horozov和Iliev[36]利用幅角原理和Picard-Fuchs方程给出了当X〓有一个中心、三个鞍点时I零点上确界的个数。

Recently. by complexification of the space and time variable, also using the Picard-Lefschetz theory, argument principle, Riemann manifold and homology theory, Gavrilov [25] proved the same result under the condition X〓 has one center and one saddle or two centers and two saddles.

最近Gavrilov[25]将方程复化后利用Picard-Lefschetz理论，幅角原理及同调论等工具得到X〓有一个中心、一个鞍点和两个中心、两个鞍点的情形下I零点个数的上确界。

To complete the proof, we use some known methods and techniques, based on the Picard-Fuchs equation and bifurcation theory, and develop some new methods and techniques.

为了完成上述证明，我们除了以Picard-Fuchs方程和分岔理论为基础，充分利用已有的方法和技巧之外，还发展了一些新技巧和新方法。

Under some moderate conditions, the prior estimate of the solutions of the system is obtained. Making use of constructing Picard iterative sequence, Doob martingale inequality, Gronwall inequality, Borel-Cantelli lemma and some fundamental inequalities, together with the uniform Lipschitz conditions, the existence and uniqueness of the solution for stochastic functional differential equations with infinite delay is derived on the interval t0,∞.

在适当的条件下，得到了随机泛函微分方程的解的先验估计；再结合一致Lipschitz条件，通过构造Picard迭代序列，利用Doob较不等式、Gronwall不等式、Borel-Cantelli引理及一些基本不等式，得到该方程的解在区间[t0，∞]上是存在且唯一的。

The study of exceptional set has a history of half a century. In reference (2), Lento extended the famous Picard Theorem and Presented the concept of exceptional set of entire functions and meromorphic functions. And the exceptional set in his result was an infinite sequence of complex numbers.

例外集问题的研究，已有半个世纪的历史，在文献〔2〕中，Lehto推广了著名的Picard定理，并首次提出例外集的概念，在他的结论中，例外集为一无穷复数序列。

In addition, after Madoff confessed to the crime, Irvin Picard, a trustee in bankruptcy, was appointed to liquidate the assets and distribute them to investors.

此外，在Madoff承认控罪后，法庭还指定Irvin Picard作为信托人，负责对他公司的资产进行清算，偿还投资者。

In addition, after Madoff confessed to the crime, Irvin Picard, a trustee in bankruptcy, was appointed to liquidate the assets and distribute them to investors.5 b$ k,,}$ S

此外，在Madoff承认控罪后，法庭还指定Irvin Picard作为信托人，负责对他公司的资产进行清算，偿还投资者。

The study of exceptional set has a history of half a century. In reference (2), Lento extended the famous Picard Theorem and Presented the concept of exceptional set of entire functions and meromorphic functions.

例外集问题的研究，已有半个世纪的历史，在文献〔2〕中，Lehto推广了著名的Picard定理，并首次提出例外集的概念，在他的结论中，例外集为一无穷复数序列。

By employing the local Lipschitz condition and Picard sequence, the local existence-uniqueness of solutions of stochastic functional differential equations of Ito-type is firstly obtained. Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition. Finally, by establishing some delay differential inequalities and using properties of H_m-functions, a stochastic version of Wintner theorem and the global existence-uniqueness of solutions of stochastic functional differential equations of Ito-type are given. The results generalize the earlier publications.

首先，利用局部Lipschitz条件和Picard序列，获得了伊藤随机泛函微分方程解的局部存在唯一性；其次，利用随机分析技巧和拟有界条件，建立了伊藤随机泛函微分方程解的延拓定理；最后，通过建立一些时滞微分不等式和利用H_m-函数的特性，得到了Wintner定理的随机版本和伊藤随机泛函微分方程解的全局存在唯一性，推广了已有的一些结果。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。