Formal & Physical Sciences MathematicsENGG ChiSquared OverviewOldProf-GeneticsDecember 28, 2021 16 min★ ★ ★ ★ ☆ 4/5Chi-SquaredGeneticsStatistics
Formal & Physical Sciences MathematicsENWhat is concrete incompleteness?Colin McLartyDecember 23, 2021 160 min★ ★ ★ ★ ☆ 4/5IncompletenessGödelHilbert
Formal & Physical Sciences MathematicsENZermelo Fraenkel ChoiceRichard E BorcherdsDecember 4, 2021 20 min★ ★ ★ ★ ★ 5/5Axiom of ChoiceSet TheoryZermelo-Fraenkel
Formal & Physical Sciences MathematicsENZermelo Fraenkel Separation and replacementRichard E BorcherdsDecember 2, 2021 17 min★ ★ ★ ★ ★ 5/5Set TheoryZermelo-FraenkelAxioms
Formal & Physical Sciences MathematicsENZermelo Fraenkel PowersetRichard E BorcherdsNovember 30, 2021 17 min★ ★ ★ ★ ★ 5/5Set TheoryPowerset AxiomZermelo-Fraenkel
Formal & Physical Sciences MathematicsENZermelo Fraenkel InfinityRichard E BorcherdsNovember 28, 2021 17 min★ ★ ★ ★ ★ 5/5Set TheoryAxiom of InfinityZermelo-Fraenkel
Formal & Physical Sciences MathematicsENZermelo Fraenkel Pairing and unionRichard E BorcherdsNovember 26, 2021 12 min★ ★ ★ ★ ★ 5/5Set TheoryZFCAxioms
Formal & Physical Sciences MathematicsENZermelo Fraenkel FoundationRichard E BorcherdsNovember 24, 2021 23 min★ ★ ★ ★ ★ 5/5Set TheoryAxiom of FoundationWell-Foundedness
Formal & Physical Sciences MathematicsENZermelo Fraenkel ExtensionalityRichard E BorcherdsNovember 22, 2021 15 min★ ★ ★ ★ ★ 5/5Set TheoryAxiom of ExtensionalityZermelo-Fraenkel
Formal & Physical Sciences MathematicsENZermelo Fraenkel IntroductionRichard E BorcherdsNovember 20, 2021 21 min★ ★ ★ ★ ★ 5/5Set TheoryZermelo-FraenkelAxioms
Formal & Physical Sciences MathematicsENCayley's tree formula (after Andre Joyal)Richard E BorcherdsNovember 14, 2021 11 min★ ★ ★ ★ ★ 5/5Cayley's FormulaCombinatoricsTree Counting
Formal & Physical Sciences MathematicsENCategories 7 Yoneda's lemmaRichard E BorcherdsNovember 12, 2021 25 min★ ★ ★ ★ ★ 5/5Yoneda's LemmaCategory TheoryRepresentable Functors
Formal & Physical Sciences MathematicsENA general numerical optimization pattern/algorithmDr. Eitan FarchiNovember 10, 2021 20 min★ ★ ★ ★ ☆ 4/5OptimizationNumerical MethodsMachine Learning
Formal & Physical Sciences MathematicsENHow Imaginary Numbers Were InventedVeritasiumNovember 1, 2021 23 min★ ★ ★ ★ ★ 5/5Imaginary NumbersHistory of MathematicsCubic Equations
Formal & Physical Sciences MathematicsENRIngs 22 Hensel's lemmaRichard E BorcherdsOctober 30, 2021 18 min★ ★ ★ ★ ★ 5/5Hensel's LemmaP-Adic NumbersPower Series
Formal & Physical Sciences MathematicsENRings 21 Formal power seriesRichard E BorcherdsOctober 29, 2021 38 min★ ★ ★ ★ ★ 5/5Formal Power SeriesNoetherian RingsUnique Factorization Domain
Formal & Physical Sciences MathematicsENRings 20 ResultantsRichard E BorcherdsOctober 28, 2021 23 min★ ★ ★ ★ ★ 5/5ResultantDiscriminantSylvester Matrix
Formal & Physical Sciences MathematicsENRIngs 19 Symmetric functionsRichard E BorcherdsOctober 27, 2021 27 min★ ★ ★ ★ ★ 5/5Symmetric FunctionsElementary Symmetric PolynomialsNewton's Identities
Formal & Physical Sciences MathematicsENWhy do we need the Lebesgue integral in probability?Dr. Eitan FarciOctober 26, 2021 41 min★ ★ ★ ★ ☆ 4/5Lebesgue IntegralRiemann IntegralProbability Theory
Formal & Physical Sciences MathematicsENRings 18 Hilbert's theoremsRichard E BorcherdsOctober 23, 2021 30 min★ ★ ★ ★ ★ 5/5Hilbert's Basis TheoremNoetherian RingsInvariant Theory
Formal & Physical Sciences MathematicsENRings 17 Noetherian ringsRichard E BorcherdsOctober 22, 2021 27 min★ ★ ★ ★ ★ 5/5Noetherian RingsCommutative AlgebraRing Theory
Formal & Physical Sciences MathematicsENRings 16 Factorization of polynomialsRichard E BorcherdsOctober 21, 2021 25 min★ ★ ★ ★ ★ 5/5Polynomial FactorizationIrreducibilityEisenstein's Criterion
Formal & Physical Sciences MathematicsENRIngs 15 PolynomialsRichard E BorcherdsOctober 20, 2021 29 min★ ★ ★ ★ ★ 5/5PolynomialsUnique FactorizationRings
Formal & Physical Sciences MathematicsENContinuous functions from a compact space to R are boundedDr. Eitan FarchiOctober 18, 2021 37 min★ ★ ★ ☆ ☆ 3/5TopologyCompactnessContinuous Functions
Formal & Physical Sciences MathematicsENRIngs 14 Limits and exactnessRichard E BorcherdsOctober 16, 2021 22 min★ ★ ★ ★ ★ 5/5RingsModulesLimits
Formal & Physical Sciences MathematicsENBeyond the Mandelbrot set, an intro to holomorphic dynamics3Blue1BrownOctober 16, 2021 27 min★ ★ ★ ★ ★ 5/5Holomorphic DynamicsJulia SetsMandelbrot Set
Formal & Physical Sciences MathematicsENRings 13 Colimits and exactnessRichard E BorcherdsOctober 15, 2021 33 min★ ★ ★ ★ ★ 5/5Category TheoryColimitsExact Sequences
Formal & Physical Sciences MathematicsENRings 12 Duality and injective modulesRichard E BorcherdsOctober 13, 2021 50 min★ ★ ★ ★ ★ 5/5DualityInjective ModulesProjective Modules
Formal & Physical Sciences MathematicsENNewton’s fractal (which Newton knew nothing about)3Blue1Brown (Grant Sanderson)October 12, 2021 26 min★ ★ ★ ★ ★ 5/5Newton's MethodFractalsComplex Analysis
Formal & Physical Sciences MathematicsENCategories 6 Monoidal categoriesRichard E BorcherdsOctober 10, 2021 23 min★ ★ ★ ★ ★ 5/5Monoidal CategoriesCategory TheorySymmetric Monoidal Categories
Formal & Physical Sciences MathematicsENRings 11 Tensor products of modulesRichard E BorcherdsOctober 9, 2021 26 min★ ★ ★ ★ ★ 5/5Tensor ProductModulesRings
Formal & Physical Sciences MathematicsENRings 10 Tensor products of abelian groupsRichard E BorcherdsOctober 8, 2021 27 min★ ★ ★ ★ ★ 5/5Tensor ProductsAbelian GroupsCategory Theory
Formal & Physical Sciences MathematicsENRings 9 Projective modulesRichard E BorcherdsOctober 7, 2021 34 min★ ★ ★ ★ ★ 5/5Projective ModulesHomological AlgebraVector Bundles
Formal & Physical Sciences MathematicsENRings 8 Free modulesRichard E BorcherdsOctober 6, 2021 21 min★ ★ ★ ★ ★ 5/5Free ModulesRing TheoryRank
Formal & Physical Sciences MathematicsENRIngs 7: LocalizationRichard E BorcherdsOctober 3, 2021 23 min★ ★ ★ ★ ★ 5/5LocalizationRing TheoryCommutative Algebra
Formal & Physical Sciences MathematicsENRings 6 Prime and maximal idealsRichard E BorcherdsOctober 2, 2021 29 min★ ★ ★ ★ ★ 5/5Prime IdealsMaximal IdealsSpectrum of a Ring
Formal & Physical Sciences MathematicsENRings and modules 5 Examples of unique factorizationsRichard E BorcherdsOctober 1, 2021 22 min★ ★ ★ ★ ★ 5/5Unique FactorizationGaussian IntegersQuadratic Fields
Formal & Physical Sciences MathematicsENRings and modules 4 Unique factorizationRichard E BorcherdsSeptember 30, 2021 38 min★ ★ ★ ★ ★ 5/5Unique FactorizationIntegral DomainsEuclidean Domains
Formal & Physical Sciences MathematicsENREVISION LESSON 4 ON SCALES OR LEVELS OF MEASUREMENT: NOMINAL || ORDINAL || INTERVAL || RATIO.Prof. Lydiah WambuguSeptember 30, 2021 14 min★ ★ ★ ★ ☆ 4/5Measurement ScalesNominalOrdinal
Formal & Physical Sciences MathematicsENRings and midules 3: Burnside ring and rings of differential operatorsRichard E BorcherdsSeptember 29, 2021 18 min★ ★ ★ ★ ★ 5/5Burnside RingDifferential OperatorsRing Theory