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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Introduction to Bourguignon-Gauduchon's variation formula for Dirac operators
Dirac算子 Bourguignon-Gauduchon 变分公式
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2023/11/13
我们将介绍由Bar-Gauduchon-Moroianu给出的spin流形上Dirac算子在度量变化时一阶变分公式的证明。作为应用，我们将计算Dirac算子沿Ricci flow的一阶变分。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Introduction to Allard’s regularity theorem（II）
阿拉德 正则性定理 导论
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2023/5/17
We continue to discuss the proof of the Allard regularity theorem. In the second presentation, we will focus on the harmonic approximation and the iteration argument for getting the decay of the tilt-...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Introduction to Allard’s regularity theorem（I）
阿拉德 正则性 定理 导论
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2023/5/10
In this short seminar, we will discuss the proof of the Allard regularity theorem, which is an $\epsilon$-regularity theorem for the mean curvature equation in the Geometric Measure Theory(GMT) settin...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An introduction to the Hypergraph Regularity Lemma and its Applications 3
超图 规律性引理 超图正则引理 汉密尔顿循环
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2023/4/26
In this talk, we give an example to illustrate how to use the hypergraph regularity lemmas. The absorbing method due to R?dl, Schacht and Szemerédi is a powerful tool in proving hypergraph Hamilton cy...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An introduction to the Hypergraph Regularity Lemma and its Applications 2
超图 规律性引理 超图正则引理 汉密尔顿循环
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2023/4/26
In this talk, we first introduce the definitions of equitable partitions and state the hypergraph regularity lemma due to R?dl and Schacht. Then, we give the conception of reduced hypergraphs and its ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An introduction to the Hypergraph Regularity Lemma and its Applications 1
超图 规律性引理 超图正则引理 汉密尔顿循环
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2023/4/26
Hypergraph regularity lemmas are generalizations of Szemerédi's regularity lemma for graphs, which has been proved to be a powerful tool with many subsequent. In this talk, we first give a brief intro...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: An introduction
斯托克斯现象 等单向变形方程 斯托克斯矩阵
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2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
深圳大学管理学院运筹学课件 INTRODUCTION TO DATA ANALYSIS
深圳大学管理学院 运筹学 课件 INTRODUCTION TO DATA ANALYSIS
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2017/11/7
深圳大学管理学院运筹学课件 INTRODUCTION TO DATA ANALYSIS。
昆明理工大学理学院概率论与数理统计课件Chapter 8 Hypothesis Testing--Introduction
昆明理工大学理学院 概率论与数理统计 课件 Chapter 8 Hypothesis Testing Introduction
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2017/4/17
昆明理工大学理学院概率论与数理统计课件Chapter 8 Hypothesis Testing--Introduction.
昆明理工大学理学院概率论与数理统计课件Chapter 1 The Axioms of Probability--Introduction
昆明理工大学理学院 概率论与数理统计 课件 Chapter 1 The Axioms of Probability Introduction
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2017/4/17
昆明理工大学理学院概率论与数理统计课件Chapter 1 The Axioms of Probability--Introduction.
昆明理工大学理学院概率论与数理统计课件Chapter 0 An Introduction to Set Theory
昆明理工大学理学院 概率论与数理统计 课件 Chapter 0 An Introduction to Set Theory
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2017/4/17
昆明理工大学理学院概率论与数理统计课件Chapter 0 An Introduction to Set Theory.
MATH 603: INTRODUCTION TO COMMUTATIVE ALGEBRA
MATH COMMUTATIVE ALGEBRA
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2015/9/29
What is this course about? The foundations of di erential geometry (=
study of manifolds) rely on analysis in several variables as \local machinery": many
global theorems about manifolds are reduced...
A pedestrian introduction to fast multipole methods
fast multipole method non-oscillatory kernels oscillatory kernels multiscale methods
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2015/7/14
This paper provides a conceptual and non-rigorous description of the fast multipole methods for evaluating convolution kernel functions with source distributions. Both the non-oscillatory and the osci...
Introduction to Complex Analysis-excerpts
Complex Analysis excerpts
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2015/7/14
We consider the set C of pairs of real numbers (x, y), or equivalently of points on the plane R2. Two vectors z1 = (x1, x2) and z2 = (x2, y2) are equal if and only if x1 = x2 and y1 = y2. Two vectors ...
AN INTRODUCTION TO MULTIVARIATE KRAWTCHOUK POLYNOMIALS AND THEIR APPLICATIONS
Multivariate polynomial application
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2015/7/7
AN INTRODUCTION TO MULTIVARIATE KRAWTCHOUK POLYNOMIALS AND THEIR APPLICATIONS。