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A LIBRARY FOR THE CURIOUS

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PlatformYouTube268X3Bilibili2

DisciplineMathematical modeling88Calculus68Algebra50Probability & statistics44Discrete mathematics15Applied mathematics6General mathematics1Geometry1

DifficultyIntroductory172Intermediate57Foundational44

StyleWhiteboard129Visual explanation83Lecture59Problem solving2

Length5–15 min155Under 5 min9015–45 min28

TopicMatrices24Derivatives15Integrals12Probability12Vectors11Expectation8Distributions8Greatest common divisor8Linear transformations7Function limit7Eigenvalues6Chain rule6Random variables6Euclidean algorithm6Time series forecasting6Determinants5Bayes’ theorem5Basis5Means5Permutations5Function graph5Definite integral5Normal distribution5Calculus4Independence4Conditional probability4Binomial distribution4Exponential smoothing forecasting4Hypothesis testing3Graph theory3Mean value theorem3Partial derivative3Taylor series3Infinite series3Multivariable function3Grey prediction model3Regression modeling3ARIMA modeling3System dynamics modeling3Game theory modeling3Markov chain modeling3Cluster analysis modeling3Model validation techniques3Linear span2Riemann sums2Function approximation2Lagrange multipliers2Series convergence2Partial sums2Fuzzy comprehensive evaluation2Interpolation methods for modeling2Normalization and standardization in modeling2Agent-based modeling2SIR epidemic model2Differential equation modeling2Entropy weight method2Error propagation in models2Logistic growth model2Similarity and scaling in modeling2Dimensional analysis2Model assumptions and simplification2Principal component analysis2Traveling salesman modeling2Shortest path models2Network flow modeling2Monte Carlo simulation2Linear programming2Cellular automaton model2Transportation problem2Minimum spanning tree model2Least squares fitting2Inventory model2Fourier transform1Three-dimensional space1Fractions1Tangent line1Area under curve1Incidence matrix1Network conservation1Gradient1Arc length1Line integral of a vector field1Power series1Sequence limit definition (ε–N)1Divergence1Function limit definition (ε–δ)1Sequence limit1Sequence convergence1Comparison test1Error estimate1Alternating series1Zeno’s paradox1Limit nonexistence1Secant line1Local linearization1Tangent plane1Normal vector1Directional derivative1Total differential1Multivariable limit1Jacobian determinant1Iterated integral1Volume under surface1Moment of inertia1Rectangle partition1Variance1Outlier handling in modeling1Curve fitting in modeling1Discriminant analysis1Factor analysis1Optimization modeling1Duality in linear programming1Common mistakes in mathematical modeling1Integer programming1Branch and bound1Multi-objective optimization1Structure of a modeling report1Population growth model1Dynamic programming for modeling1Queueing model1

Selected for a fresh perspectivePage 1

Mathematical modeling·English

Fractals and Scaling: Power Laws in Empirical Data Introduction

Complexity Explorer

IntermediateReviewed notes

Mathematical modeling·English

Fluid Mechanics 10.6 - Similitude and Modeling; Scaled Model

Rasim Guldiken

IntroductoryReviewed notes

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