Number Theory | Congruence Modulo n -- Definition and Examples
We define the notion of congruence modulo n among the integers. http://www.michael-penn.net
From playlist Modular Arithmetic and Linear Congruences
Giray Ökten: Number sequences for simulation - lecture 1
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
(New Version Available) Compound Inequalities
New version: https://youtu.be/U20Dp4lPVoo http://mathispower4u.wordpress.com/
From playlist Linear and Absolute Value Inequalities
Number Theory | Integer Congruence Example 1
We give a few examples involving integer congruence.
From playlist Modular Arithmetic and Linear Congruences
Periodic Random Function Generation using Matplotlib and Python
In signal processing, for certain applications, periodic random signals might be needed. In this micro-tutorial we show how such a periodic random function can be generated. This is achieved by looping a 2d random noise onto itself to create a 1 dimensional random noise. The algorithm is i
From playlist Engineering Animations
Alex Kontorovich: Local-Global in Thin Orbits and Applications
The lecture was held within the framework of the Hausdorff Trimester Program: Harmonic Analysis and Partial Differential Equations and the Workshop: Analytic Number Theory of the Hausdorff Center for Mathematics 17.07.2014 This video was created and edited with kind support from eCampus
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Lecture 9 - Random Walk Models
This is Lecture 9 of the COMP510 (Computational Finance) course taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Hong Kong University of Science and Technology in 2008. The lecture slides are available at: http://www.algorithm.cs.sunysb.edu/computationalfinance/pdf
From playlist COMP510 - Computational Finance - 2007 HKUST
Number Theory | Linear Congruences Proposition 2
We give the proof of a proposition regarding the number of solutions of a linear congruence. http://www.michael-penn.net
From playlist Modular Arithmetic and Linear Congruences
MATH2018 Lecture 6.2 Special Matrices
We look at the properties of invertible matrices, symmetric matrices, and orthogonal matrices, and discuss some important relationships between them.
From playlist MATH2018 Engineering Mathematics 2D
Science & Technology Q&A for Kids (and others) [Part 55]
Stephen Wolfram hosts a live and unscripted Ask Me Anything about science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram Outline of Q&A 0:00 Stream starts 2:25 Stephen begins the s
From playlist Stephen Wolfram Ask Me Anything About Science & Technology
Shou-Wu Zhang: Congruent number problem and BSD conjecture
Abstract : A thousand years old problem is to determine when a square free integer n is a congruent number ,i,e, the areas of right angled triangles with sides of rational lengths. This problem has a some beautiful connection with the BSD conjecture for elliptic curves En:ny2=x3−x. In fact
From playlist Jean-Morlet Chair - Research Talks - Prasad/Heiermann
In this video we continue discussing congruences and, in particular, we discuss solutions of linear congruences. The content of this video corresponds to Section 4.4 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas.uconn.edu/number-theory-and-geometry/
From playlist Number Theory and Geometry
Stanford Seminar - PCG: A Family of Better Random Number Generators
"PCG: A Family of Better Random Number Generators" - Melissa O'Neill of Harvey Mudd College Colloquium on Computer Systems Seminar Series (EE380) presents the current research in design, implementation, analysis, and use of computer systems. Topics range from integrated circuits to operat
From playlist Engineering
Example of Skew-Symmetric Matrix
Matrix Theory: Let a be an invertible skew-symmetric matrix of size n. Show that n is even, and then show that A^{-1} is also skew-symmetric. We show the identities (AB)^T = B^T A^T and (AB)^{-1} = B^{-1}A^{-1}.
From playlist Matrix Theory
Transcendental numbers powered by Cantor's infinities
In today's video the Mathologer sets out to give an introduction to the notoriously hard topic of transcendental numbers that is both in depth and accessible to anybody with a bit of common sense. Find out how Georg Cantor's infinities can be used in a very simple and off the beaten track
From playlist Recent videos
Giray Ökten: Derivative pricing, simulation from non-uniform distributions - lecture 3
The models of Bachelier and Samuelson will be introduced. Methods for generating number sequences from non-uniform distributions, such as inverse transformation and acceptance rejection, as well as generation of stochastic processes will be discussed. Applications to pricing options via re
From playlist Probability and Statistics
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
Number Theory | Some properties of integer congruence.
We examine some basic properties of congruence modulo n among the integers.
From playlist Modular Arithmetic and Linear Congruences
Solving Laplacian Systems of Directed Graphs - John Peebles
Computer Science/Discrete Mathematics Seminar II Topic: Solving Laplacian Systems of Directed Graphs Speaker: John Peebles Affiliation: Member, School of Mathematics Date: March 02, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics