Stable sorts | Sorting algorithms
Pigeonhole sorting is a sorting algorithm that is suitable for sorting lists of elements where the number n of elements and the length N of the range of possible key values are approximately the same. It requires O(n + N) time. It is similar to counting sort, but differs in that it "moves items twice: once to the bucket array and again to the final destination [whereas] counting sort builds an auxiliary array then uses the array to compute each item's final destination and move the item there." The pigeonhole algorithm works as follows: 1. * Given an array of values to be sorted, set up an auxiliary array of initially empty "pigeonholes", one pigeonhole for each key in the range of the keys in the original array. 2. * Going over the original array, put each value into the pigeonhole corresponding to its key, such that each pigeonhole eventually contains a list of all values with that key. 3. * Iterate over the pigeonhole array in increasing order of keys, and for each pigeonhole, put its elements into the original array in increasing order. (Wikipedia).
Mathsplanations: Pigeonhole Principle and Sock Picking
What do pigeons and socks have to do with each other? In this video we demonstrate the pigeonhole principle with a fun example - picking your socks in the dark! Another useful dose of Maths for everyone by Dr Sarada Herke. For more Math-y goodness check out my Graph Theory channel http:
From playlist Mathsplanations
3.5.1 The Pigeonhole Principle: Video
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
What Is the Pigeonhole Principle?
The Pigeonhole Principle is a simple-sounding mathematical idea, but it has a lot of various applications across a wide range of problems. Learning to recognize pigeons and pigeonholes as they appear in different problems can help in discovering possible solutions. 0:00 Pigeonhole Princip
From playlist Spanning Tree's Most Recent
Fundamentals of Mathematics - Lecture 32.2 : Proof of the Pidgeonhole Principle
https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html
From playlist Fundamentals of Mathematics
PIGEONHOLE PRINCIPLE - DISCRETE MATHEMATICS
We introduce the pigeonhole principle, an important proof technique. #DiscreteMath #Mathematics #Proofs #Pigeonhole Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw
From playlist Discrete Math 1
[Discrete Mathematics] Pigeonhole Principle Examples
We do a couple pigeonhole problems, including a visual problem that requires a triangle. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?l
From playlist Discrete Math 1
Solving an equation with parentheses
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
Solving an equation with parentheses
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
Solving an equation with parentheses
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
Total Functions in the Polynomial Hierarchy - Robert Kleinberg
Computer Science/Discrete Mathematics Seminar I Topic: Total Functions in the Polynomial Hierarchy Speaker: Robert Kleinberg Affiliation: Cornell University Date: February 08, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Nexus Trimester - Suresh Venkatasubramanian (University of Utah) 1/3
From Pigeons to Fano, and beyond Suresh Venkatasubramanian (University of Utah) February 17, 2016 Abstract: Fano's inequality can be viewed as capturing a deep interplay between information and computation. It links storage, reconstruction and transmission in one inequality, generalizing
From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme
Due to the COVID-19 pandemic, Carnegie Mellon University is protecting the health and safety of its community by holding all large classes online. People from outside Carnegie Mellon University are welcome to tune in to see how the class is taught, but unfortunately Prof. Loh will not be o
From playlist CMU 21-228 Discrete Mathematics
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Please feel free to leave comments/questions on the video and practice problems below! In this video, we begin to delve into topics involving the size, or cardinality of sets. First, we will set up the concept of same-numberness, or equinumerosity between sets via one-to-one correspondenc
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Live CEOing Ep 702: Language Design Review of ServiceDeploy
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
Exploring Quantum Physics using Spin Ensembles by T S Mahesh
21 November 2016 to 10 December 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Quantum Theory has passed all experimental tests, with impressive accuracy. It applies to light and matter from the smallest scales so far explored, up to the mesoscopic scale. It is also a necessary ingredie
From playlist Fundamental Problems of Quantum Physics
A Hairy Problem (and a Feathery Solution) - Numberphile
With Ben Sparks. Episode sponsor is MEL Science. Visit https://melscience.com/sBLS/ and use code Numberphile for 50% discount. More links & stuff in full description below βββ Includes The Pigeon Hole Principle. Ben Sparks on the Numberphile Podcast: https://youtu.be/-tGni9ObJWk More Ben
From playlist Ben Sparks on Numberphile
Samit Dasgupta: An introduction to auxiliary polynomials in transcendence theory, Lecture I
Broadly speaking, transcendence theory is the study of the rationality or algebraicity properties of quantities of arithmetic or analytic interest. For example, Hilbertβs 7th problem asked βIs a b always transcendental if a 6= 0, 1 is algebraic and b is irrational algebraic?β An affirmativ
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Solve a Linear Equation with Decimals and Parentheses with Variables on Both Sides
This video explains how to solve a multi-step linear equation in one variable with parentheses and decimals with variables on both sides.. http://mathispower4u.com
From playlist Solving Multi-Step Equations