25:24

Hausdorff vs Gromov-Hausdorff distances (2/4/2024)

23:31

Support Vector Machines and Radon's Theorem

00:18

The sensor network evasion problem: Setup

00:22

The sensor network evasion problem: Dependence on the embedding

04:23

The Cork Trick

04:53

Abstract Algebra 84: Field extensions for straight-edge and compass constructions

07:56

Abstract Algebra 83: Impossible straight-edge and compass constructions

05:14

Abstract Algebra 82: Straight-edge and compass constructions

08:33

Abstract Algebra 81: The cancellation property in integral domains

05:31

Abstract Algebra 80: Zero divisors

08:38

Abstract Algebra 79: The ring of all functions from the reals to the reals

16:02

Abstract Algebra 78: The ring of Gaussian integers

14:15

Abstract Algebra 77: Subrings

11:51

Abstract Algebra 76: Rings

07:09

Abstract Algebra 75: In a field F, why does xy=0 imply either x=0 or y=0?

05:42

Abstract Algebra 74: In a field F, why is 0 times x equal to 0?

05:22

Abstract Algebra 73: Two equivalent definitions of fields - one condensed, one expanded

08:20

Abstract Algebra 72: The finite field of size p, where p is a prime

15:40

Abstract Algebra 63: Orders of elements in direct product groups

08:44

Abstract Algebra 71: An introduction to fields

14:47

Abstract Algebra 61: Quotient group examples

14:11

Abstract Algebra 70: The orbit-stabilizer theorem

08:31

Abstract Algebra 69: Orbits

11:28

Abstract Algebra 68: Stabilizers

09:16

Abstract Algebra 67: The number of rotational symmetries of a soccer ball

14:25

Abstract Algebra 66: Introduction to group actions and the orbit-stabilizer theorem

09:14

Abstract Algebra 65: Fundamental theorem of finite abelian groups, Part II

07:23

Abstract Algebra 64: Fundamental theorem of finite abelian groups, Part I

10:58

Abstract Algebra 62: Direct products

09:44

What could Math+YouTube become?

08:28

Abstract Algebra 60: Quotient groups

14:08

Abstract Algebra 59: Analogy between group homomorphisms and linear transformations (linear algebra)

09:56

Abstract Algebra 58: Kernels of homomorphisms

12:33

Abstract Algebra 57: Examples and non-examples of homomorphisms

08:31

Abstract Algebra 56: Example group homomorphisms

12:31

Abstract Algebra 55: Homomorphisms

06:10

Abstract Algebra 54: Ways to tell that two groups are not isomorphic

04:49

Abstract Algebra 53: Group properties preserved by isomorphisms

09:19

Abstract Algebra 52: Two infinite groups that are not isomorphic

05:28

Abstract Algebra 51: A bijective map that is not an isomorphism

07:27

Abstract Algebra 50: An example isomorphism

11:08

Abstract Algebra 49: Definition of isomorphisms

07:58

Abstract Algebra 48: Which isomorphism class does this group of size four belong to?

06:40

Abstract Algebra 47: Introduction to Isomorphisms

14:41

Abstract Algebra 46: Why does the RSA algorithm correctly decrypt your message?

05:12

Abstract Algebra 45: Fermat's little theorem

05:23

Abstract Algebra 44: A factoring fact related to the RSA cryptography algorithm

13:48

Abstract Algebra 43: The RSA public key cryptography algorithm

06:09

Abstract Algebra 42: Introduction to public key cryptography

05:31

Abstract Algebra 41: The converse of Lagrange's theorem is not true

12:28

Abstract Algebra 40: Left cosets need not equal right cosets

09:52

Abstract Algebra 39: A proof of Lagrange's theorem

07:20

Abstract Algebra 38: Properties of cosets

04:25

Abstract Algebra 37: Cosets drawn via a picture

05:25

Abstract Algebra 36: Cosets

08:36

Abstract Algebra 35: Lagrange's theorem: a subgroup's size divides evenly into the group's size

09:51

Abstract Algebra 34: We should we care about permutation groups?

07:22

Abstract Algebra 33: An introduction to the alternating group

07:46

Abstract Algebra 32: Any permutation can be written as a product of 2-cycles

08:04

Abstract Algebra 31: How do you write a product of permutations in disjoint cycle notation?