Permutation Groups and Symmetric Groups | Abstract Algebra
We introduce permutation groups and symmetric groups. We cover some permutation notation, composition of permutations, composition of functions in general, and prove that the permutations of a set make a group (with certain details omitted). #abstractalgebra #grouptheory We will see the
From playlist Abstract Algebra
Ex: Evaluate a Combination and a Permutation - (n,r)
This video explains how to evaluate a combination and a permutation with the same value of n and r. Site: http://mathispower4u.com
From playlist Permutations and Combinations
Pseudorandom Number Generation and Stream Ciphers
Fundamental concepts of Pseudorandom Number Generation are discussed. Pseudorandom Number Generation using a Block Cipher is explained. Stream Cipher & RC4 are presented.
From playlist Network Security
Ex 2: Determine the Number of Permutations With Repeated Items
This video explains how to determine the number of permutations when there are indistinguishable or repeated items. Site: http://mathispower4u.com
From playlist Permutations and Combinations
This video introduces the topic of derangements of elements. mathispower4u.com
From playlist Counting (Discrete Math)
Ex: Evaluate a Combination and a Permutation - (n,1)
This video explains how to evaluate a combination and a permutation with the same value of n and r = 1. Site: http://mathispower4u.com
From playlist Permutations and Combinations
Giray Ökten: Number sequences for simulation - lecture 2
After an overview of some approaches to define random sequences, we will discuss pseudorandom sequences and low-discrepancy sequences. Applications to numerical integration, Koksma-Hlawka inequality, and Niederreiter’s uniform point sets will be discussed. We will then present randomized q
From playlist Probability and Statistics
301.5C Definition and "Stack Notation" for Permutations
What are permutations? They're *bijective functions* from a finite set to itself. They form a group under function composition, and we use "stack notation" to denote them in this video.
From playlist Modern Algebra - Chapter 16 (permutations)
Jonathan Katz - Introduction to Cryptography Part 3 of 3 - IPAM at UCLA
Recorded 25 July 2022. Jonathan Katz of the University of Maryland presents "Introduction to Cryptography III" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Abstract: This lecture will introduce the notions of zero-knowledge proofs, proofs of knowledge, and secure
From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography
The Abel Prize announcement 2021 - Avi Wigderson and László Lovász
0:49 The Abel Prize announced by Hans Petter Graver, President of The Norwegian Academy of Science and Letters 1:38 Citation by Hans Munthe-Kaas, Chair of the Abel committee 10:22 Popular presentation of the prize winners work by Alex Bellos, British writer, and science communicator 17:43
From playlist The Abel Prize announcements
Benjamin Weiss: Christian Mauduit in ergodic theory
While most of Christian’s work was in number theory he made important contributions to several aspects of ergodic theory throughout his career. I will discuss some of these and their impact on later developments. Recording during the meeting "Prime Numbers, Determinism and Pseudorandomnes
From playlist Dynamical Systems and Ordinary Differential Equations
Michal Pilipczuk: Introduction to parameterized algorithms, lecture II
The mini-course will provide a gentle introduction to the area of parameterized complexity, with a particular focus on methods connected to (integer) linear programming. We will start with basic techniques for the design of parameterized algorithms, such as branching, color coding, kerneli
From playlist Summer School on modern directions in discrete optimization
John Roberts: On finding integrals in birational maps
Abstract: At the heart of an integrable discrete map is the existence of a sufficient number of integrals of motion. When the map is birational and the integral is assumed to be a rational function of the variables, many results from algebraic geometry and number theory can be employed in
From playlist Integrable Systems 9th Workshop
CS50 Explained 2016 - Week 3 - Sorting Blue Books
This is CS50 Explained, wherein David J. Malan and Doug Lloyd watch CS50's lectures and discuss the pedagogy behind CS50 itself. For Week 3's lecture, see https://www.youtube.com/watch?v=jUyQqLvg8Qw.
From playlist CS50 Explained 2016
CS50 Explained VR 2016 - Week 3 - Sorting Blue Books
This is CS50 Explained VR, wherein David J. Malan and Doug Lloyd (and you!) watch CS50's lectures and discuss the pedagogy behind CS50 itself. For Week 3's lecture, see https://www.youtube.com/watch?v=t_gxXV3s04I.
From playlist CS50 Explained 2016 in Virtual Reality
Robert Tichy: Metric Discrepancy Theory
CIRM HYBRID EVENT Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the February 04, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathem
From playlist Analysis and its Applications
Jonathan Katz - Introduction to Cryptography Part 1 of 3 - IPAM at UCLA
Recorded 25 July 2022. Jonathan Katz of the University of Maryland presents "Introduction to Cryptography I" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Abstract: This lecture will serve as a "crash course" in modern cryptography for those with no prior exposure
From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography