Mathematics

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Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 09 - Part 2 - SVD and pseudo-inverse (example)

Julien A

April 28, 2022 36 min

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SVDPseudo-InverseLinear Algebra

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 08 - Part1 - SVD (theory)

Julien A

April 28, 2022 60 min

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SVDLinear AlgebraEigenvalues

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 08 - Part 2 - SVD (image compression in R)

Julien A

April 28, 2022 15 min

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SVDImage CompressionR Programming

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 07 - Part 2 - SVD (theory)

Julien A

April 28, 2022 18 min

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Singular Value DecompositionLinear AlgebraEigenvalues

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 06 - Part 1 - QR factorisation (theory)

Julien A

April 28, 2022 56 min

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QR FactorizationOrthogonal MatricesLinear Algebra

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 05 - Part 1 - Linear least squares (continued)

Julien A

April 28, 2022 51 min

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Least SquaresLinear AlgebraNormal Equations

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 04 - Part2 - Linear least squares (theory)

Julien A

April 28, 2022 11 min

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Least SquaresLinear AlgebraBest Approximation

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 04 - Part 1 - Linear least squares with jupyter

Julien A

April 28, 2022 60 min

★ ★ ★ ★ ☆ 4/5

Least SquaresLinear AlgebraR Programming

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 03 - Part 2 - Linear least squares

Julien A

April 28, 2022 13 min

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Linear Least SquaresR ProgrammingData Fitting

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 02

Julien A

April 28, 2022 76 min

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Linear AlgebraMatricesEigenvalues

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 01 - Part 2

Julien A

April 28, 2022 42 min

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SetsLogicComplex Numbers

Formal & Physical Sciences Mathematics

UofM - MATH 2740 - Lecture 01 - Part 1

Julien A

April 28, 2022 25 min

★ ★ ★ ☆ ☆ 3/5

Data ScienceMathematicsCourse Organization

Formal & Physical Sciences Mathematics

Mathematical Epidemiology - Lecture 02 - Basic mathematical epidemiology

Julien Arino

April 28, 2022 134 min

★ ★ ★ ★ ☆ 4/5

SIR ModelSIS ModelBasic Reproduction Number

Applied Sciences & Engineering Mathematics

Mathematical Epidemiology - Lecture 01 - Introduction

Julien A

April 28, 2022 47 min

★ ★ ★ ★ ☆ 4/5

EpidemiologyMathematical ModelingHistory of Medicine

Formal & Physical Sciences Mathematics

Mathematical Epidemiology - Lecture 00 - Course organisation

Julien Arino

April 26, 2022 21 min

★ ★ ★ ★ ☆ 4/5

Mathematical EpidemiologyCourse OrganizationModeling

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 53. Three calculators for number theorists

Richard E Borcherds

April 24, 2022 12 min

★ ★ ★ ★ ☆ 4/5

Number TheoryCalculatorsPrime Factorization

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 52. Nonvanishing of L series at s=1.

Richard E Borcherds

April 22, 2022 24 min

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Number TheoryDirichlet L-SeriesAnalytic Number Theory

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 51. Proof of Dirichlet's theorem

Richard E Borcherds

April 20, 2022 24 min

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Number TheoryDirichlet's TheoremL-Series

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 50. Dirichlet characters

Richard E Borcherds

April 18, 2022 20 min

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Number TheoryDirichlet CharactersL-Functions

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 49. Dirichlet's theorem

Richard E Borcherds

April 16, 2022 35 min

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Number TheoryDirichlet's TheoremDirichlet Characters

Formal & Physical Sciences Mathematics

The Provability of Consistency: Debunking the Myth

Prof. Sergei Artemov

April 15, 2022 129 min

★ ★ ★ ★ ☆ 4/5

Gödel's Incompleteness TheoremsPeano ArithmeticConsistency Proofs

Formal & Physical Sciences Mathematics

Semidefinite relaxation problems || @ CMU || Recitation 10 of CS Theory Toolkit

Ryan O'Donnell

April 14, 2022 54 min

★ ★ ★ ★ ☆ 4/5

Semidefinite ProgrammingQuadratic ProgrammingRelaxation

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 48 Proof of the prime number theorem

Richard E Borcherds

April 14, 2022 17 min

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Prime Number TheoremNumber TheoryRiemann Zeta Function

Formal & Physical Sciences Mathematics

Initiation à la statistique bayésienne

Thierry Ancelle

April 13, 2022 22 min

★ ★ ★ ★ ☆ 4/5

Bayesian StatisticsBayes FactorLikelihood

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 47. The prime number theorem

Richard E Borcherds

April 12, 2022 27 min

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Prime Number TheoremAnalytic Number TheoryRiemann Zeta Function

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 46. Products of Dirichlet series

Richard E Borcherds

April 10, 2022 17 min

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Dirichlet SeriesNumber TheoryMöbius Inversion

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 45 Dirichlet series

Richard E Borcherds

April 8, 2022 31 min

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Number TheoryDirichlet SeriesRiemann Zeta Function

Formal & Physical Sciences Mathematics

High-Dimensional Expanders: How I learned to stop worrying and love group-theoretic constructions

Ryan O'Donnell

April 8, 2022 47 min

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High-Dimensional ExpandersExpander GraphsGroup Theory

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 44 Pythagorean triangles

Richard E Borcherds

April 6, 2022 23 min

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Number TheoryPythagorean TriplesBinary Quadratic Forms

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 43 Gaussian integers

Richard E Borcherds

April 4, 2022 35 min

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Gaussian IntegersNumber TheorySums of Two Squares

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 42. Examples of indefinite binary quadratic forms.

Richard E Borcherds

April 2, 2022 22 min

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Number TheoryBinary Quadratic FormsIndefinite Forms

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 41: More examples of binary quadratic forms

Richard E Borcherds

March 31, 2022 29 min

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Number TheoryBinary Quadratic FormsClass Numbers

Formal & Physical Sciences Mathematics

Linear Programming problems, and Convex Programming || @ CMU || Recitation 9 of CS Theory Toolkit

Ryan O'Donnell

March 30, 2022 59 min

★ ★ ★ ★ ☆ 4/5

Linear ProgrammingConvex OptimizationDuality

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 40. Examples of positive definite forms

Richard E Borcherds

March 29, 2022 28 min

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Number TheoryQuadratic FormsPositive Definite

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 39: Equivalence of binary quadratic forms

Richard E Borcherds

March 27, 2022 22 min

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Number TheoryBinary Quadratic FormsEquivalence

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 38. Binary quadratic forms

Richard E Borcherds

March 25, 2022 23 min

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Number TheoryBinary Quadratic FormsDiscriminant

Formal & Physical Sciences Mathematics

Spectral Graph Theory problems || @ CMU || Recitation 8 of CS Theory Toolkit

Ryan O'Donnell

March 23, 2022 63 min

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Spectral Graph TheoryLaplacian EigenvaluesMax Cut

$Introduction to number theory lecture 37 Continued fractions$

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 37 Continued fractions

Richard E Borcherds

March 23, 2022 26 min

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Number TheoryContinued FractionsPell's Equation

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 36 Kronecker symbol

Richard E Borcherds

March 21, 2022 21 min

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Kronecker SymbolNumber TheoryQuadratic Reciprocity

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 35 Jacobi symbol

Richard E Borcherds

March 19, 2022 38 min

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Jacobi SymbolNumber TheoryQuadratic Reciprocity