搜索结果: 421-435 共查到“数学”相关记录53725条 . 查询时间(5.069 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long time behavior of the Sine-Gordon equation
正弦 戈登方程 长时间行为 黎曼-希尔伯特问题
2023/4/26
We use the nonlinear steepest descent for Riemann-Hilbert problems to compute the long-time asymptotics of the solutions to the sine-Gordon equation whose initial condition belongs to some weighted So...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Balanced Boolean Functions with Good Autocorrelation Spectra and Their Applications
自相关谱 平衡 布尔函数
2023/4/26
In this talk we consider the maximum absolute value in the autocorrelation spectrum (not considering the zero point) of balanced Boolean function. The long-standing open question in this area is to ob...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：若干信息重构问题的理论与算法
信息重构 理论 算法
2023/4/26
数学作为一门基础学科，在科学的研究中扮演着无可替代的角色。但是数学的研究与工程应用之间存在着一道鸿沟。如何针对实际问题的需求，进行相关数学研究是目前应用数学与计算数学研究的一个热点方法。在本报告，我们主要介绍了我们团队最近的两项相关的研究成果。1、基于微分方程模型的由局部信息重构全局信息的问题，即从方程的内部观测值如何重构方程解的问题。这是一个具有重要实际和应用前景的问题。但是，数学理论的结果说明...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Singular Solutions to the Yamabe Equation with Prescribed Asymptotics
规定渐近 山部方程 奇异解
2023/4/25
We study positive solutions of the Yamabe equation with isolated singularity and prove the existence of solutions with prescribed asymptotic expansions near singular points and an arbitrarily high ord...
近日，由北京大学主办/承办的FrontiersofMathematics和《数学进展》先后举行2023年编委会议。
着组织工程领域的发展，生物材料界面与细胞的相互作用及物理机制成为研究热点。生物界面的拓扑形貌可有效调控细胞行为并影响细胞功能。而体内的一些生理过程如胚胎发育、免疫应答以及组织更新与重塑等往往涉及多细胞的集体行为。肿瘤的侵袭和转移也与集体细胞的协调运动有关。细胞球作为一种体外三维细胞培养模型，具有强烈的细胞-细胞相互作用，可在细胞生理学、信号通路、基因和蛋白表达以及气体/营养物质梯度等方面更好地模拟...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Smoothing invariant is equivalent to harmonic
平滑不变 等价 谐波 调和函数
2023/4/23
It is well known that harmonic function is smoothing invariant when convolved with the standard mollifier, which gives a quick proof of the smoothness of the harmonic function. In this talk, we will c...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Minimal model program for generalized pairs
广义对 最小 模型程序
2023/4/23
Generalized pairs are a natural structure in birational geometry that first appeared in Kodaira’s canonical bundle formula for elliptic fibrations. They were formally introduced by Birkar and Zhang in...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Conformally variational Riemannian invariants and their related topics
共形变分 黎曼不变量 主题
2023/4/23
It is well known that scalar curvature plays a fundamental role in general relativity. As its analogue, conformally variational Riemannian invariants (CVIs) is a category of fundamental scalar-type cu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Identities, inequalities and congruences for odd ranks and k-marked odd Durfee symbols
奇数秩 k标记 奇数杜菲符号 恒等式 不等式 全等
2023/4/23
In 2007, Andrews introduced the odd rank of odd Durfee symbols. Let N^0 (m,n) denote the number of odd Durfee symbols of n with odd rank m, and N^0 (r,m;n) be the number of odd Durfee symbols of n wit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fast Numerical Evaluation of Generalized Todd Polynomials
广义托德多项式 的快速数值 评估
2023/4/23
Fast Numerical Evaluation of Generalized Todd Polynomials.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Reciprocity with Uncertainty About Others
互惠 对他人 不确定性
2023/4/21
We introduce the uncertainty of psychological motivation into a reciprocity model and explore its implications on behavior. More precisely, we assume that reciprocity sensitivities are subject to inco...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Liouville theorems for superlinear parabolic problems
超线性 抛物线问题 刘维尔定理
2023/4/21
We first consider positive classical solutions to a semilinear heat equation and discuss the associated Liouville-type theorems and their consequences on a priori estimates of solutions (in particular...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Liouville theorems for superlinear parabolic problems
超线性 抛物线问题 刘维尔定理
2023/4/23
We first consider positive classical solutions to a semilinear heat equation and discuss the associated Liouville-type theorems and their consequences on a priori estimates of solutions (in particular...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Supercongruences involving Motzkin numbers and central trinomial coefficients
莫茨金数 中心三项式系数 超同余
2023/4/21
In this talk, we investigate congruence properties for Motzkin numbers and central trinomial coefficients. Let M_n and T_n denote the nth Motzkin number and the nth central trinomial coefficient respe...