搜索结果: 121-135 共查到“数学”相关记录1130条 . 查询时间(0.482 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Kahler geometry methods in Gaussian Gabor frame theory
高斯 Gabor框架理论 Kahler几何
2023/11/6
We investigate the frame set of regular multivariate Gaussian Gabor frames using methods from Kahler geometry such as Hormander's $\dbar$-L2 estimate with singular weight, Demailly's Calabi--Yau metho...
对于接触Hamilton-Jacobi方程H（x,Du（x）,u（x））=0，H满足Tonelli条件，讨论弱KAM解的结构以及解的Lyapunov稳定性。此外，在单位圆情形时，去掉H关于u 单调性的假设，把条件放宽到对它在一个时间周期内积分平均值的要求，研究它与解的稳定性之间的关系，不稳定时证明不同周期非平凡周期解的存在性，稳定时给出收敛速度。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Ambartzumian combinatorial formula and its applications
Ambartzumian 组合公式 有限线段集
2023/11/6
Consider a finite set of segments on a plane with endpoints in the general position. In [1] Sylvester posted a problem of finding the measure of the set of lines intersecting all of this segments. In ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed volume of infinite-dimensional convex compact sets II
无限维 凸紧集 混合体积
2023/11/6
Using the results presented in the previous lecture, namely the generalization of the Tsirelson's theorem [2] to mixed volumes, we calculate the mixed volume of the closed convex hulls of the two orth...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed volume of infinite-dimensional convex compact sets I
无限维 凸紧集 混合体积
2023/11/6
Let K be a convex compact subset of a separable Hilbert space H. One of the most important geometric characteristics of K is its intrinsic volumes. In the finitedimensionalcase (K ? R^d), the intrinsi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Pleijel identity
Pleijel恒等式 光滑边界 Blaschke–Petkantschin
2023/10/16
Let K be a planar convex body with C^1 boundary. Consider a random line G intersecting K. In [1] Pleijel discovered an identity expressing the integral functional of the length of the chord G ∩ K in t...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An algebraic framework for geometrically continuous splines
几何 连续样条 代数框架
2023/11/6
Geometrically continuous splines are piecewise polynomials defined on a collection of patches stitched together through transition maps. In this talk, we introduce an algebraic framework to study geom...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：近可积哈密尔顿系统辛算法的KAM定理
近可积 哈密尔顿系统 辛算法 KAM定理
2023/11/6
本报告讨论Hamilton系统辛算法的KAM稳定性，给出辛算法应用于近可积系统时不变环面的存在性证明和数值逼近结果。具体地，近可积系统用辛算法离散化，假设系统的可积部分满足Ruessmann非退化条件，当时间步长足够小且Hamilton函数足够光滑时，离散系统存在不变环面，它们在相应空间中占据一个大测度Cantor集。进而假设系统的可积部分满足Kolmogorov非退化条件，则在Hausdorff...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some Results on Partial Inverse Spanning Tree Problems
部分逆生成树 有权函数 非循环边子集
2023/11/6
Given a graph G with weight function w and an acyclic edge subset E', the partial inverse spanning tree problem on (G, w; E') is to find a new weight function w* so that E' can be extended to a maximu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Characterizations of Separably Differentially Closed Fields
可分 微分闭域 微分场
2023/11/7
In this talk, we define a new class of differential fields called separably differentially closed fields and show their several characterizations by comparing them with differentially closed fields of...
《资源环境数学模型手册 》
自然资源 环境数学 数学模型
2023/8/9
本书在全面总结和分析国内外资源环境领域主要期刊内容的基础上，选择了衫和有科学价值的数学模型和定量指标的精髓部分。本书中数学模型和定量指标共有3055组，其中包括地球信息类771组、自然地理学类674组、人文地理学类415组、生态学类1195组。在选编过程中，对书中数学模型和定量指标的错误之处均进行了严格修正。本书有很高的理论价值和实用价值，不仅可作为地理学、生态学、应用数学、气象学、地质学、经济学...