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PlatformYouTube529Bilibili43X3

DisciplineMathematical modeling342Calculus83Algebra57Probability & statistics48Discrete mathematics21Applied mathematics17Geometry6General mathematics1

DifficultyIntroductory381Intermediate132Foundational55Advanced7

StyleWhiteboard262Visual explanation162Lecture149Problem solving2

Length5–15 min330Under 5 min21415–45 min31

TopicMatrices29Derivatives23Vectors16Integrals15Probability14Greatest common divisor13Distributions11Linear transformations10Eigenvalues9Means9Graph theory9Chain rule8Expectation8Time series forecasting8Determinants7Basis7Function limit7Normal distribution7Exponential smoothing forecasting7Calculus6Random variables6Independence6Euclidean algorithm6Modular arithmetic6Method of characteristics6Bayes’ theorem5Permutations5Function graph5Definite integral5Conditional probability5Binomial distribution5Gradient5Partial derivative5Dimensional analysis5Game theory modeling5Partial differential equations5Ordinary differential equations5Fourier transform4Fractions4Power series4Taylor series4Multivariable function4Grey prediction model4Regression modeling4ARIMA modeling4Normalization and standardization in modeling4Entropy weight method4Linear programming4Transportation problem4Cluster analysis modeling4Fourier series4Topological spaces4Brownian motion4Pointwise convergence4Singular values4Linear 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transform1Spectrum of a ring1Holomorphic functions1Inverse trigonometric functions1Pigeonhole principle1Uniform continuity1Mutual information1Irreducible representations1Natural transformations1Functors1Resonance1Martingales1Arithmetic operations1Group actions1Ramsey theory1Graph coloring1Euler and Hamilton paths1Itô calculus1Numerical quadrature1Numerical stability1Conditioning1Symmetric encryption1Lines and planes1Sheaves1Fractions and ratios1Geometric Brownian motion1Relations1Sets1Binomial theorem1Elliptic curve cryptography1Sturm–Liouville problems1Quotient rings1Polynomial rings1Schemes1Digital signatures1Measurable functions1Banach spaces1Fubini and Tonelli theorems1Tensor products of representations1Limits and colimits1Gram–Schmidt process1Regular surfaces1Separable equations1Exponential functions1PDE classification1Linearization1Integrating factors1Maschke's theorem1Function transformations1Mathematical modeling process1Laplace and Poisson equations1Surface 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Calculus·English

Riemann zeta function Lecture 003: Analytic properties of the zeta function

黎曼的演算纸

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