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PlatformYouTube524Bilibili29X3

DisciplineMathematical modeling342Calculus79Algebra56Probability & statistics45Discrete mathematics17Applied mathematics13Geometry3General mathematics1

DifficultyIntroductory367Intermediate128Foundational54Advanced7

StyleWhiteboard256Visual explanation156Lecture142Problem solving2

Length5–15 min322Under 5 min20615–45 min28

TopicMatrices27Derivatives21Vectors14Integrals14Probability13Greatest common divisor12Eigenvalues9Linear transformations9Distributions9Chain rule8Expectation8Graph theory8Time series forecasting8Basis7Means7Function limit7Normal distribution7Exponential smoothing forecasting7Random variables6Independence6Euclidean algorithm6Modular arithmetic6Determinants5Bayes’ theorem5Calculus5Permutations5Function graph5Definite integral5Conditional probability5Binomial distribution5Dimensional analysis5Game theory modeling5Partial differential equations5Fourier transform4Fractions4Partial derivative4Power series4Taylor series4Grey prediction model4Regression modeling4ARIMA modeling4Normalization and standardization in modeling4Entropy weight method4Linear programming4Transportation problem4Cluster analysis modeling4Fourier series4Topological spaces4Singular values4Linear equations4Metric spaces4Ordinary differential equations4Method of characteristics4Hypothesis testing3Function approximation3Arc 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Mathematical modeling·English

Group representation: Prove Maschke's theorem

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