Capacity-approaching codes | Coding theory | Error detection and correction
In coding theory, expander codes form a class of error-correcting codes that are constructed from bipartite expander graphs.Along with Justesen codes, expander codes are of particular interest since they have a constant positive rate, a constant positive relative distance, and a constant alphabet size.In fact, the alphabet contains only two elements, so expander codes belong to the class of binary codes.Furthermore, expander codes can be both encoded and decoded in time proportional to the block length of the code. (Wikipedia).
Math tutorial for expanding a logarithmic expression across multiplication
๐ Learn all about condensing and expanding logarithms. In this playlist, we will learn how to condense and expand logarithms by using the rules of logarithms. We will use the product, quotient, and power rule for logarithms that include, radicals, rational powers, parenthesis, brackets, a
From playlist Condense and Expand Logarithms
Using binomial expansion to expand a binomial to the fourth degree
๐ Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
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How to expand a binomial raised to the 3 power
๐ Learn all about sequences. In this playlist, we will explore how to write the rule for a sequence, determine the nth term, determine the first 5 terms or any term of the sequence. We will investigate binomial expansion as well as arithmetic and geometric sequences. ๐SUBSCRIBE to my cha
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Learning how to expand a logarithmic expression with a square root
๐ Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm expressions from the condensed form to an expanded form. Know
From playlist Condense and Expand Logarithms
Expand a binomial to the fifth power
๐ Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
From playlist Sequences
Exapanding a logarithmic expression using the rules of logarithms
๐ Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm expressions from the condensed form to an expanded form. Know
From playlist Expand Logarithms With Radicals
Expanding logarithmic expressions with a square root
๐ Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm expressions from the condensed form to an expanded form. Know
From playlist Expand Logarithms With Radicals
How can we represent any term in a binomial expansion
๐ Learn all about binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula for a binomial expans
From playlist Sequences
Use pascals triangle to expand a binomial to the 6th power
๐ Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
From playlist Sequences
High Dimensional Expanders and Ramanujan Complexes - Alexander Lubotzky
Computer Science/Discrete Mathematics Seminar II Topic: High Dimensional Expanders and Ramanujan Complexes Speaker: Alexander Lubotzky Affiliation: Hebrew University Date: December 8, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
High Dimensional Expansion and Error Correcting Codes - Irit Dinur
Hermann Weyl Lectures Topic: High Dimensional Expansion and Error Correcting Codes Speaker: Irit Dinur Affiliation: Weizmann Institute of Science; Visiting Professor, School of Mathematics Date: November 19, 2019 For more video please visit http://video.ias.edu
From playlist Hermann Weyl Lectures
Lifting small locally testable codes (LTCs) to large LTCs via HDXs - Prahladh Harsha
Computer Science/Discrete Mathematics Seminar I Topic: Lifting small locally testable codes (LTCs) to large LTCs via HDXs Speaker: Prahladh Harsha Affiliation: Tata Institute of Fundamental Research Date: November 25, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
An introductory survey on expanders and their applications - Avi Wigderson
Computer Science/Discrete Mathematics Seminar II Topic: An introductory survey on expanders and their applications Speaker: Avi Wigderson Affiliation: Herbert H. Maass Professor, School of Mathematics Date: September 29, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Locally testable codes with constant rate, distance, and locality, Part I - Irit Dinur
Computer Science/Discrete Mathematics Seminar I Topic: Locally testable codes with constant rate, distance, and locality, Part I Speaker: Irit Dinur Affiliation: Weizmann Institute Date: October 25, 2021 A locally testable code (LTC) is an error correcting code that admits a very efficie
From playlist Mathematics
RubyConf 2021 - Beware the Dreaded Dead End!! by Richard Schneeman
Nothing stops a program from executing quite as fast as a syntax error. After years of โunexpected endโ in my dev life, I decided to โdoโ something about it. In this talk we'll cover lexing, parsing, and indentation informed syntax tree search that power that dead_end Ruby library.
From playlist RubyConf 2021
Stanford Lecture: Advanced TeXarcana - Session 3 (March 4, 1981)
March 4, 1981 Professor Knuth is the Professor Emeritus at Stanford University. Dr. Knuth's classic programming texts include his seminal work The Art of Computer Programming, Volumes 1-3, widely considered to be among the best scientific writings of the century.
From playlist Donald Knuth Lectures
Local Correctability of Expander Codes - Brett Hemenway
Brett Hemenway University of Pennsylvania April 14, 2014 An error-correcting code is called locally decodable if there exists a decoding algorithm that can recover any symbol of the message with high probability by reading only a small number of symbols of the corrupted codeword. There is
From playlist Mathematics
Coding Challenge #43: Context-Free Grammar
In this Coding Challenge, I code a Context-Free Grammar text generator from scratch. The concept of recursion is explored. This video is part of Session 7 of the "Programming from A to Z" ITP class. ๐ปChallenge Website: https://thecodingtrain.com/CodingChallenges/043-contextfreegrammar.ht
From playlist Programming with Text - All Videos
๐ Learn all about binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula for a binomial expans
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List decoding with double samplers - Inbal Livni-Navon
Computer Science/Discrete Mathematics Seminar I Topic: List decoding with double samplers Speaker: Inbal Livni-Navon Affiliation: Weizmann Institute Date: December 6, 2021 The ABNNR encoding is a classical encoding scheme that amplifies the distance of an error correcting code. The enco
From playlist Mathematics