Checksum algorithms | Modular arithmetic

Luhn mod N algorithm

The Luhn mod N algorithm is an extension to the Luhn algorithm (also known as mod 10 algorithm) that allows it to work with sequences of values in any even-numbered base. This can be useful when a check digit is required to validate an identification string composed of letters, a combination of letters and digits or any arbitrary set of N characters where N is divisible by 2. (Wikipedia).

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Math for Liberal Studies: The Luhn Algorithm

In this video, we learn how to use the Luhn algorithm to verify credit card ID numbers, and find missing check digits. For more information, visit the Math for Liberal Studies homepage: http://webspace.ship.edu/jehamb/mls/index.html

From playlist Math for Liberal Studies

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Checksums: The Luhn Algorithm for Verifying Credit Card Numbers

The Luhn Algorithm is used to catch common input errors for credit card numbers: transposition or mistyping one or more digits. In this video I'll show you how to Luhn Algorithm works and why merchants want to catch these error before running the transaction.

From playlist Discrete Structures

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Solve a System of Linear Equations Using LU Decomposition

This video explains how to use LU Decomposition to solve a system of linear equations. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Matrix Equations

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Math for Liberal Studies - Lecture 3.3.2 ISBN's and Credit Card Numbers

This is the second video lecture for Math for Liberal Studies Section 3.3: More Check Digit Systems. In this video, we build on the idea of weighted sums from the previous video. We discuss two variations on that idea, applied to ISBN's (book identification numbers) and credit card numbers

From playlist Math for Liberal Studies Lectures

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LU Decomposition - Shortcut Method

This video explains how to find the LU Decomposition of a square matrix using a shortcut involving the opposite of multipliers used when performing row operations. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Matrix Equations

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Discrete Structures: Random number generators, checksums, hashing

Learn about random number generators, checksums, and hashing. We'll start with the von Neumann random number generator and the contemporary linear congruential generator. Then we'll go over the Luhn algorithm used for credit card number validation and then introduce hash functions such as

From playlist Discrete Structures, Spring 2022

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6.3.4 Solving A x = b via LU factorization, L y = b, and U x = y

6.3.4 Solving A x = b via LU factorization, L y = b, and U x = y

From playlist LAFF - Week 6

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LU decomposition of matrices

In LU decomposition we decompose a matrix into two matrices, that, when multiplied in a certain order, gives rise to the original matrix. L is a lower triangular matrix, and U is an upper triangular matrix. An upper triangular matrix has entries equaling zero below the main diagonal and a

From playlist Introducing linear algebra

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Linear Algebra 13e: The LU Decomposition

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

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The RSA Cryptosystem

Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist Computer - Cryptography and Network Security

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logarithm of a matrix

logarithm of a matrix. I calculate ln of a matrix by finding the eigenvalues and eigenvectors of that matrix and by using diagonalization. It's a very powerful tool that allows us to find exponentials, sin, cos, and powers of a matrix and relates to Fibonacci numbers as well. This is a mus

From playlist Eigenvalues

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Factoring Algorithms

Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist Computer - Cryptography and Network Security

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More Number Theoretic Results

Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist Computer - Cryptography and Network Security

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CSPs with Global Modular Constraints: Algorithms and Hardness via... - Sivakanth Gopi

Computer Science/Discrete Mathematics Seminar I Topic: CSPs with Global Modular Constraints: Algorithms and Hardness via Polynomial Representations Speaker: Sivakanth Gopi Affiliation: Microsoft Researcher Date: March 30, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Hacking at Quantum Speed with Shor's Algorithm | Infinite Series

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Classical computers struggle to crack modern encryption. But quantum computers using Shor’s Algorithm make short work of RSA cryptography. Find out how. Tweet at us! @

From playlist Cryptography 101

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Approximating the Longest Increasing Subsequence in Polylogarithmic Time - Michael Saks

Michael Saks Rutgers, The State University of New Jersey October 12, 2010 Finding the longest increasing subsequence (LIS) is a classic algorithmic problem. Simple O(nlogn)O(nlogn) algorithms, based on dynamic programming, are known for solving this problem exactly on arrays of length nn.

From playlist Mathematics

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Factoring with Elliptic Curves - Jeremy Teitelbaum [2018]

May 30: Jeremy Teitelbaum (UConn) Title: Factoring with elliptic curves. Abstract: Lenstra’s elliptic curve algorithm ([1]) for factoring is a standard piece of the toolkit for computational number theory. I will give a brief introduction to this algorithm. [1] H. Lenstra, Factoring integ

From playlist Number Theory

Related pages

Associative array | Decimal | Luhn algorithm | Radix