Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 41: More examples of binary quadratic formsRichard E BorcherdsMarch 31, 2022 29 min★ ★ ★ ★ ★ 5/5Number TheoryBinary Quadratic FormsClass Numbers
Formal & Physical Sciences MathematicsENLinear Programming problems, and Convex Programming || @ CMU || Recitation 9 of CS Theory ToolkitRyan O'DonnellMarch 30, 2022 59 min★ ★ ★ ★ ☆ 4/5Linear ProgrammingConvex OptimizationDuality
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 40. Examples of positive definite formsRichard E BorcherdsMarch 29, 2022 28 min★ ★ ★ ★ ★ 5/5Number TheoryQuadratic FormsPositive Definite
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 39: Equivalence of binary quadratic formsRichard E BorcherdsMarch 27, 2022 22 min★ ★ ★ ★ ★ 5/5Number TheoryBinary Quadratic FormsEquivalence
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 38. Binary quadratic formsRichard E BorcherdsMarch 25, 2022 23 min★ ★ ★ ★ ★ 5/5Number TheoryBinary Quadratic FormsDiscriminant
Formal & Physical Sciences MathematicsENSpectral Graph Theory problems || @ CMU || Recitation 8 of CS Theory ToolkitRyan O'DonnellMarch 23, 2022 63 min★ ★ ★ ★ ☆ 4/5Spectral Graph TheoryLaplacian EigenvaluesMax Cut
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 37 Continued fractionsRichard E BorcherdsMarch 23, 2022 26 min★ ★ ★ ★ ★ 5/5Number TheoryContinued FractionsPell's Equation
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 36 Kronecker symbolRichard E BorcherdsMarch 21, 2022 21 min★ ★ ★ ★ ★ 5/5Kronecker SymbolNumber TheoryQuadratic Reciprocity
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 35 Jacobi symbolRichard E BorcherdsMarch 19, 2022 38 min★ ★ ★ ★ ★ 5/5Jacobi SymbolNumber TheoryQuadratic Reciprocity
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 34. Gauss sumsRichard E BorcherdsMarch 17, 2022 17 min★ ★ ★ ★ ★ 5/5Number TheoryGauss SumsQuadratic Reciprocity
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 33. Quadratic reciprocityRichard E BorcherdsMarch 15, 2022 32 min★ ★ ★ ★ ★ 5/5Number TheoryQuadratic ReciprocityLegendre Symbol
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 32. Calculation of the Legendre symbolRichard E BorcherdsMarch 13, 2022 28 min★ ★ ★ ★ ★ 5/5Number TheoryLegendre SymbolQuadratic Residues
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 31. Quadratic residues.Richard E BorcherdsMarch 11, 2022 32 min★ ★ ★ ★ ★ 5/5Number TheoryQuadratic ResiduesLegendre Symbol
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 30. Fields in number theoryRichard E BorcherdsMarch 9, 2022 24 min★ ★ ★ ★ ★ 5/5Number TheoryFieldsFinite Fields
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 29. Rings in number theoryRichard E BorcherdsMarch 7, 2022 38 min★ ★ ★ ★ ★ 5/5Number TheoryRingsIdeals
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 28. Products of groupsRichard E BorcherdsMarch 5, 2022 23 min★ ★ ★ ★ ★ 5/5Group TheoryNumber TheoryChinese Remainder Theorem
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 27. Groups and number theoryRichard E BorcherdsMarch 3, 2022 29 min★ ★ ★ ★ ★ 5/5Group TheoryNumber TheoryFermat's Theorem
Formal & Physical Sciences MathematicsENReview of Optimization: MIT 6.832 Underactuated Robotics (Spring 2022)underactuatedMarch 1, 2022 69 min★ ★ ★ ★ ☆ 4/5Convex OptimizationLinear ProgrammingRobotics
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 26. Roots of polynomials modulo a prime.Richard E BorcherdsMarch 1, 2022 17 min★ ★ ★ ★ ★ 5/5Number TheoryPolynomialsModular Arithmetic
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 25. Quadratic equations mod p.Richard E BorcherdsFebruary 27, 2022 21 min★ ★ ★ ★ ★ 5/5Number TheoryQuadratic ResiduesSquare Roots
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 24. Primitive roots for prime powersRichard E BorcherdsFebruary 25, 2022 20 min★ ★ ★ ★ ★ 5/5Number TheoryPrimitive RootsPrime Powers
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 23. Primitive roots.Richard E BorcherdsFebruary 23, 2022 35 min★ ★ ★ ★ ★ 5/5Number TheoryPrimitive RootsModular Arithmetic
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 22. Chevalley-Warning theoremRichard E BorcherdsFebruary 21, 2022 16 min★ ★ ★ ★ ★ 5/5Number TheoryChevalley-Warning TheoremFinite Fields
Formal & Physical Sciences MathematicsENProperties of expectation and varianceDr. Eitan FarchiFebruary 20, 2022 25 min★ ★ ★ ★ ☆ 4/5ExpectationVarianceProbability
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 21. Congruences modulo a prime.Richard E BorcherdsFebruary 19, 2022 38 min★ ★ ★ ★ ★ 5/5Number TheoryCongruencesPrime Numbers
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 20. p-adic numbers.Richard E BorcherdsFebruary 17, 2022 28 min★ ★ ★ ★ ★ 5/5Number TheoryP-Adic NumbersHensel's Lemma
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 19. Hensel and Newton's methodRichard E BorcherdsFebruary 15, 2022 31 min★ ★ ★ ★ ★ 5/5Number TheoryHensel's LemmaNewton's Method
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 18. CryptographyRichard E BorcherdsFebruary 13, 2022 37 min★ ★ ★ ★ ☆ 4/5Number TheoryCryptographyRSA
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 17. Factorization.Richard E BorcherdsFebruary 11, 2022 22 min★ ★ ★ ★ ★ 5/5Number TheoryFactorizationPollard's Rho
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 16. More numerical calculationRichard E BorcherdsFebruary 9, 2022 25 min★ ★ ★ ★ ☆ 4/5Number TheoryAlgorithmsModular Arithmetic
Formal & Physical Sciences MathematicsENUse of Bernoulli variable to empirically estimate a distributionDr. Eitan FarchiFebruary 8, 2022 22 min★ ★ ★ ☆ ☆ 3/5Bernoulli DistributionEmpirical DistributionNon-Parametric Statistics
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 15. Numerical calculationRichard E BorcherdsFebruary 7, 2022 40 min★ ★ ★ ★ ★ 5/5Number TheoryAlgorithmsComplexity
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 14. Euler's totient functionRichard E BorcherdsFebruary 5, 2022 48 min★ ★ ★ ★ ★ 5/5Euler's TotientNumber TheoryMultiplicative Function
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 13. The Chinese remainder theorem.Richard E BorcherdsFebruary 3, 2022 34 min★ ★ ★ ★ ★ 5/5Number TheoryChinese Remainder TheoremCongruences
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 12 Wilson's theoremRichard E BorcherdsFebruary 1, 2022 29 min★ ★ ★ ★ ★ 5/5Number TheoryWilson's TheoremModular Arithmetic
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 11. Euler's theoremRichard E BorcherdsJanuary 31, 2022 35 min★ ★ ★ ★ ★ 5/5Number TheoryEuler's TheoremFermat's Theorem
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 10. Fermat's theoremRichard E BorcherdsJanuary 30, 2022 28 min★ ★ ★ ★ ★ 5/5Number TheoryFermat's TheoremModular Arithmetic
Formal & Physical Sciences MathematicsENEmpirical distributionMachine Learning ConceptsJanuary 30, 2022 20 min★ ★ ★ ☆ ☆ 3/5Empirical DistributionStatisticsProbability
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 9: CongruencesRichard E BorcherdsJanuary 28, 2022 40 min★ ★ ★ ★ ★ 5/5Number TheoryCongruencesFermat's Theorem
Formal & Physical Sciences MathematicsENIntroduction to number theory lecture 8. Applications of binomial coefficientsRichard E BorcherdsJanuary 25, 2022 43 min★ ★ ★ ★ ★ 5/5Binomial CoefficientsNumber TheoryPrime Numbers
