| 2023-08-12 |
SL(2,R) As a Topological Space and Topological Group |
Algebra ‧ Desvl |
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| 2023-08-05 |
Important Posts of This Blog |
Desvl |
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| 2023-07-17 |
Artin's Theorem of Induced Characters |
Algebra ‧ Desvl |
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| 2023-05-27 |
Chinese Remainder Theorem in Several Scenarios of Ring Theory |
Algebra ‧ Desvl |
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| 2023-04-06 |
Projective Representations of SO(3) |
Algebra ‧ Desvl |
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| 2023-03-20 |
The Quadratic Reciprocity Law |
Number Theory ‧ Desvl |
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| 2023-03-06 |
Vague Convergence in Measure-theoretic Probability Theory - Equivalent Conditions |
Analysis ‧ Desvl |
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| 2022-12-23 |
The Pontryagin Dual group of Q_p |
Number Theory ‧ Desvl |
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| 2022-12-20 |
The Haar Measure on the Field of p-Adic Numbers |
Number Theory ‧ Desvl |
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| 2022-12-19 |
The ring of real trigonometric polynomials |
Algebra ‧ Desvl |
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| 2022-12-05 |
Every Regular Local Ring is Cohen-Macaulay |
Algebra ‧ Desvl |
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| 2022-12-02 |
The abc Theorem of Polynomials |
Algebra ‧ Desvl |
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| 2022-11-24 |
A Step-by-step of the Analytic Continuation of the Riemann Zeta Function |
Analysis ‧ Desvl |
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| 2022-09-22 |
Properties of Cyclotomic Polynomials |
Algebra ‧ Desvl |
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| 2022-09-04 |
Calculus on Fields - Heights of Polynomials, Mahler's Measure and Northcott's Theorem |
Algebra ‧ Desvl |
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| 2022-08-21 |
Hensel's Lemma - A Fair Application of Newton's Method and 'Double Induction' |
Algebra ‧ Desvl |
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| 2022-08-12 |
Irreducible Representations of GL_2(F_q) |
Algebra ‧ Desvl |
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| 2022-07-26 |
Segre Embedding And Heights |
Number Theory ‧ Desvl |
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| 2022-06-30 |
The Calculus of Fields - Absolute Values |
Algebra ‧ Desvl |
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| 2022-06-16 |
Irreducible Representations of SO(3) and the Laplacian |
Algebra ‧ Desvl |
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| 2022-05-08 |
Study Irreducible Representations of SU(2) Using Fourier Series |
Algebra ‧ Desvl |
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| 2022-05-06 |
The Fourier Transform of exp(-cx^2) and Its Convolution |
Analysis ‧ Desvl |
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| 2022-04-15 |
A Detailed Proof of the Riemann Mapping Theorem |
Analysis ‧ Desvl |
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| 2022-03-29 |
Examples in Galois Theory 3 - Polynomials of Prime Degree and Pairs of Nonreal Roots |
Algebra ‧ Desvl |
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| 2022-03-27 |
Examples in Galois Theory 2 - Cubic Extensions |
Algebra ‧ Desvl |
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| 2022-03-17 |
Examples in Galois Theory 1 - Complex Field is Algebraically Closed |
Algebra ‧ Desvl |
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| 2022-01-18 |
The Group Algebra of A Finite Group and Maschke's Theorem |
Algebra ‧ Desvl |
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| 2021-12-29 |
The ring of trigonometric polynomials with complex scalars |
Algebra ‧ Desvl |
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| 2021-11-06 |
Implicit Mapping Theorem of Complex Variables and Riemann Surfaces |
Desvl |
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| 2021-10-11 |
Characters in Analysis and Algebra |
Algebra ‧ Desvl |
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| 2021-10-02 |
The Banach Algebra of Borel Measures on Euclidean Space |
Analysis ‧ Desvl |
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| 2021-08-17 |
The concept of generalised functions (distributions) and derivatives |
Analysis ‧ Desvl |
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| 2021-07-24 |
Curse of Knowledge |
Desvl |
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| 2021-07-14 |
The ring of real trigonometric polynomials |
Algebra ‧ Desvl |
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| 2021-07-08 |
Elementary Properties of Cesàro Operator in L^2 |
Analysis ‧ Desvl |
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| 2021-07-02 |
A Continuous Function Sending L^p Functions to L^1 |
Analysis ‧ Desvl |
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| 2021-05-26 |
Left Shift Semigroup and Its Infinitesimal Generator |
Analysis ‧ Desvl |
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| 2021-05-10 |
Quasi-analytic Vectors and Hamburger Moment Problem (Operator Theory) |
Analysis ‧ Desvl |
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| 2021-03-30 |
Quasi-analytic Classes |
Analysis ‧ Desvl |
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| 2021-02-23 |
(Kind of) Missing Content in Your Linear Algebra Class (Still on Progress) |
Linear Algebra ‧ Desvl |
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| 2021-02-07 |
Dedekind Domain and Properties in an Elementary Approach |
Algebra ‧ Desvl |
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| 2021-01-23 |
Several ways to prove Hardy's inequality |
Analysis ‧ Desvl |
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| 2021-01-19 |
Tensor Product as a Universal Object (Category Theory & Module Theory) |
Algebra ‧ Desvl |
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| 2021-01-15 |
Why Does a Vector Space Have a Basis (Module Theory) |
Algebra ‧ Desvl |
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| 2021-01-14 |
Rings of Fractions and Localisation |
Algebra ‧ Desvl |
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| 2021-01-10 |
The Grothendienck Group |
Algebra ‧ Desvl |
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| 2020-12-22 |
Study Vector Bundle in a Relatively Harder Way - Tangent Bundle |
Geometry ‧ Desvl |
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| 2020-11-28 |
A Continuous Functional Sending L^p Functions to L^1 |
Desvl |
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| 2020-11-27 |
Study Vector Bundle in a Relatively Harder Way - Definition |
Geometry ‧ Desvl |
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| 2020-11-14 |
The Big Three Pt. 6 - Closed Graph Theorem with Applications |
Analysis ‧ Desvl |
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| 2020-11-09 |
Partition of Unity on Different Manifolds (Part 1. Introduction) |
Desvl |
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| 2020-10-18 |
Stirling公式的几种经典估计 |
Desvl |
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| 2020-10-16 |
A proof of the ordinary Gleason-Kahane-Żelazko theorem for complex functionals |
Desvl |
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| 2020-10-01 |
The Big Three Pt. 5 - The Hahn-Banach Theorem (Dominated Extension) |
Desvl |
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| 2020-09-27 |
A long exact sequence of cohomology groups (zig-zag and diagram-chasing) |
Desvl |
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| 2020-09-25 |
The Fourier transform of sinx/x and (sinx/x)^2 and more |
Desvl |
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| 2020-09-20 |
The Riesz-Markov-Kakutani Representation Theorem |
Desvl |
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| 2020-09-20 |
The Big Three Pt. 4 - The Open Mapping Theorem (F-Space) |
Desvl |
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| 2020-09-20 |
The completeness of the quotient space (topological vector space) |
Desvl |
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| 2020-09-20 |
Introducing Riemann-Stieltjes Integral |
Desvl |
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| 2020-09-20 |
Basic Facts of Semicontinuous Functions |
Desvl |
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| 2020-09-20 |
An Introduction to Quotient Space |
Desvl |
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| 2020-09-20 |
关于《第三次忍受》 |
Desvl |
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| 2020-09-20 |
The Big Three Pt. 3 - The Open Mapping Theorem (Banach Space) |
Desvl |
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| 2020-09-20 |
Cauchy sequence in group theory |
Desvl |
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| 2020-09-20 |
A brief introduction to Fréchet derivative |
Desvl |
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| 2020-09-20 |
An elementary introduction to profinite groups |
Desvl |
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| 2020-09-20 |
线性ODE（四）——常系数高阶线性微分方程的普遍解法 |
Desvl |
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| 2020-09-20 |
A continuous function is 'mostly' nowhere differentiable |
Desvl |
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| 2020-09-20 |
The Big Three Pt. 2 - The Banach-Steinhaus Theorem |
Desvl |
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| 2020-09-20 |
The Big Three Pt. 1 - Baire Category Theorem Explained |
Desvl |
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| 2020-09-20 |
Jordan标准形的求法——以一个四阶矩阵为例 |
Desvl |
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| 2020-09-20 |
矩阵Jordan标准形的原理 |
Desvl |
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| 2020-09-20 |
More properties of zeros of an entire function |
Desvl |
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| 2020-09-20 |
Linear ODE but Quotient Spaces |
Desvl |
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| 2020-09-20 |
Prove Picard's Existence and Uniqueness Theorem on Different Levels |
Desvl |
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| 2020-02-08 |
线性空间的准素分解以及矩阵的准素标准形(附实例) |
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| 2020-02-03 |
线性空间的循环分解以及矩阵的有理标准形(附实例) |
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| 2020-01-28 |
线性变换不变子空间的导子及其性质 |
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| 2020-01-22 |
线性空间的循环子空间与简单应用 |
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| 2020-01-17 |
抽象Lebesgue积分的构建 |
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| 2020-01-15 |
Riesz表示定理证明(三) |
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| 2019-12-09 |
Riesz表示定理证明(二) |
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| 2019-12-01 |
Riesz表示定理简单介绍 |
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| 2019-12-01 |
优美的Fourier级数（四）: 一致收敛下的Fejér定理 |
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| 2019-12-01 |
调和级数发散的证明(1+1/2+...+1/n+...) |
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| 2019-12-01 |
优美的Fourier级数（三）: Dirichlet核是好是坏? |
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| 2019-11-30 |
概率论中需要知道的单调函数的性质 |
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| 2019-11-22 |
Jensen不等式的证明 |
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| 2019-11-16 |
Riesz表示定理证明(一) |
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| 2019-11-13 |
几种矩阵分解的梳理概括 |
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| 2019-11-10 |
Riesz表示定理简单介绍 |
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| 2019-11-03 |
欧拉反射公式和利用Fourier级数的证明 |
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| 2019-11-03 |
利用隐函数存在定理解决解析几何问题 |
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| 2019-11-03 |
压缩定理解决一致收敛的问题 |
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| 2019-11-03 |
陈旧的观点：不要追求生产力、效率了 |
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| 2019-11-03 |
优美的Fourier级数（六）: Poisson核的一致收敛 |
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| 2019-11-03 |
对伽玛函数进一步的认识——Bohr-Mollerup定理 |
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| 2019-11-03 |
高等数学入门: 从数理逻辑的角度理解epsilon-delta语言 |
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| 2019-11-03 |
伽玛函数两个有趣的应用 |
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