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예전 자료
Space Filling Curve
무리수에 대한 탐구
Baire Category Theorem
Banach Fixed Point Theorem
Calculus of Variations
Construction of Lebesgue Measure
Heat Equation
Introduction to Inverse Sequence
Irrationality Measure
Mathematics in Modern Physics
Normal Number
Partition of Unity
Van der Waerdens Theorem
π는 초월수
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Seminars
2025 Fall
1+1=0
Course Registration and Game Theory
Tessellation of H²
Randomness and Infinity
Dual Number and Split-Complex Number
Basic Convex Optimization II - Second-Order Methods
Peter-Weyl Theorem
Root System of Semisimple Lie Algebra and its Classification
Antipodes and Involutions
Understanding Surfaces with Curvatures
Introducing Mapping Class Group, Teichmuller Space and Moduli Space
Introduction to CNN and RNN
What Makes a Good Rhythm?
Alternative Way to Estimate Our Test Rank, Bayesian Statistics
The Mathematics of Uncertainty: An Introduction to Fuzzy Sets
Duality in Mathematics
2025 Spring
Euclid's 5th Postulate and non-Euclidean Geometry
A Novel Approach to Math, Combinatorics
Mystery of Infinite Series
Euler-Lagrange Equation
Functions Defined on Rational Numbers
Is Mathematics Complete?
Two Perspectives on Satisfaction: Topology and Economics
Thinking about the Collatz Conjecture
A Linear Convergence Result for the Jacobi-Proximal Alternating Direction Method of Multipliers
Continuity and Differentiability of Weierstrass Function
Basic Convex Optimization (Algorithm and Duality)
Introduction to Gradient Descent
Integration Techniques and Feynman's Trick
Chords Progression and Math
Game is Math: Mathematical Strategies and Algorithms in the Mini Metro Game
Computer and Simulation
Introduction and Construction of Polar Code
P-adic Number and Hasse-Minkowski Theorem
2024 Fall
Introduction of Gamma function
술게임 필승 전략
The German Tank Problem
What is distance?
Elementary proof of the insolvability of the quintic
Integrals in Euclidean and Banach Spaces
Poset matrices Structure, Enumeration, and Application
Electromagnetic properties interpreted in elementary calculus
Fourier series and transformation
Matrix Norm: Condition Number and Eigenvalue Problem
Riemann-Roch theorem
Intuition and construction of differential form
How to define tensor product
Introduction to hypothesis testing and statistics
QuantGANs Using GANs for Financial Forecasting
Is a donut the same as coffee mug? Using First Homotopy and Simplicial homology
On analysis of desire
2024 Spring
What is Counting?
Fundamental Theorem of Algebra
0.9 is not 1
Classification of the Surfaces
Supervised Learning VS Reinforcement Learning
p-adic Number
What is Knot Theory
Maxwell Equation using differential forms
빨대 구멍의 개수는 몇 개?
An Introduction to the Gromov-Hausdorff distance between spheres
An Introduction to Operator Theory
What is Scissors Congruence?
Introduction to zeta functions of algebraic structures and their applications
Find a Rabid Dog!
Mathematical Modeling and Differential Equation
Introduction to Riordan poset and its application
Parity: Even and Odd Number
Introduction to Knots and Fundamental Groups
Mathematics of Fools: Farey Sequence
2023 Fall
100 prisoners problem
Construction of the Real Numbers
Region Select Game Walkthrough using Knot Theory
Geometric Flow and Curve Shortening Flow
Model Predictive Control
Dirichlet's Theorem on Arithmetic Progression
Converse of Intermediate Value Theorem
Structure of sl(2,F) - module
Fermi Estimation
Homomorphic Encryption
Axiom of Choice
Jordan Canonical Form
What is Compactness
Differential Forms and de Rham Cohomology
Khovanonv homology, categorification of the Jones polynomial
2023 Spring
History of Mathematics : A Journey to Find the Foundation of Mathematics
Parallel Postulate and Non-Euclidean Geometry
Benford's Law
Lagrange's Four-Square Theorem
Game Theory : The Evolution of Trust
Yoneda Lemma
Stochastic Process, Nonlocal operaor, and PDE
Calculus of Noise
Number, Construction and Equation
Net and Riemann Integral
Homotopy Group and Poincaré Conjecture
Jones Polynomial
2022 Fall
Four Color Problem
Poincaré Recurrence Theorem
Time asymptotic behavior of compressible Euler equation
Introduction to Algebraic Topology and Category Theory
π is irrational Number
Gamma Function and Zeta Function
Transpose of Linear Map
Game Theory: Nash Existence Theorem and Minimax Theorem
Topological Data Analysis
Circuit of collatz conjecture
2022 Spring
Primes in Arithmetic Progression
Euler-Maclaurin Summation Formula
Gödel’s Incompleteness theorems
Homology Group
Geometric Structures on Manifolds
Neural ODE
Basel Problem
Legacy
Conference
MCUS
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2023 Fall
Khovanonv homology, categorification of the Jones polynomial
Khovanonv homology, categorification of the Jones polynomial
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Khovanonv homology, categorification of the Jones polynomial PDF
