Combinatorial algorithms | FFT algorithms | Permutations
In applied mathematics, a bit-reversal permutation is a permutation of a sequence of items, where is a power of two. It is defined by indexing the elements of the sequence by the numbers from to , representing each of these numbers by its binary representation (padded to have length exactly ), and mapping each item to the item whose representation has the same bits in the reversed order. Repeating the same permutation twice returns to the original ordering on the items, so the bit reversal permutation is an involution. This permutation can be applied to any sequence in linear time while performing only simple index calculations. It has applications in the generation of low-discrepancy sequences and in the evaluation of fast Fourier transforms. (Wikipedia).
What is the difference between rotating clockwise and counter clockwise
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
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
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
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
What is an enlargement dilation
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
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
Lecture 12 - Fibonacci Numbers
This is Lecture 12 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2012.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Hamiltonicity of Cayley graphs and Gray codes: open problems by Elena Konastantinova
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
Live CEOing Ep 90: Quantum Computing in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Quantum Computing in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
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
Regularized Functional Inequalities and Applications to Markov Chains by Pierre Youssef
PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab
From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY
Coding Challenge #35.2: Lexicographic Order
In Part 2 of this Coding Challenge, I discuss Lexicographic Ordering (aka Lexical Order) and demonstrate one algorithm to iterate over all the permutations of an array. 💻Challenge Webpage: https://thecodingtrain.com/CodingChallenges/035.2-tsp.html 🎥Part 1: https://youtu.be/BAejnwN4Ccw 🎥Pa
From playlist Session 1 - Algorithms and Graphs - Intelligence and Learning
Valentin Suder - Sparse Permutations with Low Differential Uniformity
Sparse Permutations with Low Differential Uniformity
From playlist Journées Codage et Cryptographie 2014
Why There's 'No' Quintic Formula (proof without Galois theory)
Feel free to skip to 10:28 to see how to develop Vladimir Arnold's amazingly beautiful argument for the non-existence of a general algebraic formula for solving quintic equations! This result, known as the Abel-Ruffini theorem, is usually proved by Galois theory, which is hard and not very
From playlist Summer of Math Exposition Youtube Videos
Singular Learning Theory - Seminar 15 - Piecewise-linear paths in the equivalent neural networks
This seminar series is an introduction to Watanabe's Singular Learning Theory, a theory about algebraic geometry and statistical learning theory. In this seminar Matt Farrugia-Roberts explains a result from his upcoming MSc thesis: given any two 1-hidden layer tanh neural networks that com
From playlist Singular Learning Theory
Sparse is Enough in Scaling Transformers (aka Terraformer) | ML Research Paper Explained
#scalingtransformers #terraformer #sparsity Transformers keep pushing the state of the art in language and other domains, mainly due to their ability to scale to ever more parameters. However, this scaling has made it prohibitively expensive to run a lot of inference requests against a Tr
From playlist Papers Explained
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