Cake-cutting

Cake theory

Cake theory (simplified Chinese: 蛋糕论; traditional Chinese: 蛋糕論; pinyin: Dàngāo lùn) is a metaphor about economic development and the redistribution of wealth in the political discourse of China. It emerged in 2010 as problems with an increased wealth gap became gradually more apparent. If economic development is seen as analogous to baking a cake, one side of the debate suggests that development should focus on 'dividing the cake more fairly,' while the other says development should be focused on 'baking a bigger cake.' (Wikipedia).

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What is a Bipartite Graph? | Graph Theory

What is a bipartite graph? We go over it in today’s lesson! I find all of these different types of graphs very interesting, so I hope you will enjoy this lesson. A bipartite graph is any graph whose vertex set can be partitioned into two disjoint sets (called partite sets), such that all e

From playlist Graph Theory

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Graph Theory: 02. Definition of a Graph

In this video we formally define what a graph is in Graph Theory and explain the concept with an example. In this introductory video, no previous knowledge of Graph Theory will be assumed. --An introduction to Graph Theory by Dr. Sarada Herke. This video is a remake of the "02. Definitio

From playlist Graph Theory part-1

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Graph Theory: 05. Connected and Regular Graphs

We give the definition of a connected graph and give examples of connected and disconnected graphs. We also discuss the concepts of the neighbourhood of a vertex and the degree of a vertex. This allows us to define a regular graph, and we give some examples of these. --An introduction to

From playlist Graph Theory part-1

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Graph Theory: 04. Families of Graphs

This video describes some important families of graph in Graph Theory, including Complete Graphs, Bipartite Graphs, Paths and Cycles. --An introduction to Graph Theory by Dr. Sarada Herke. Links to the related videos: https://www.youtube.com/watch?v=S1Zwhz-MhCs (Graph Theory: 02. Definit

From playlist Graph Theory part-1

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What are Connected Graphs? | Graph Theory

What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr

From playlist Graph Theory

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What is a Graph? | Graph Theory

What is a graph? A graph theory graph, in particular, is the subject of discussion today. In graph theory, a graph is an ordered pair consisting of a vertex set, then an edge set. Graphs are often represented as diagrams, with dots representing vertices, and lines representing edges. Each

From playlist Graph Theory

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(PP 6.1) Multivariate Gaussian - definition

Introduction to the multivariate Gaussian (or multivariate Normal) distribution.

From playlist Probability Theory

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Set Theory (Part 4): Relations

Please feel free to leave comments/questions on the video and practice problems below! In this video, the notion of relation is discussed, using the interpretation of a Cartesian product as forming a grid between sets and a relation as any subset of points on this grid. This will be an im

From playlist Set Theory by Mathoma

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How To Split A Cake Fairly Using Math

How can 2 people split up a cake, knowing that each person wants to get a larger piece than the other? What about 3 people, or even N people? This is an example of a fair division problem from game theory. There are many cake-cutting algorithms to produce a fair solution mathematically. In

From playlist Everyday Math

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What IS a Number? As Explained by a Mathematician

NEXT VIDEO IN SERIES https://www.youtube.com/watch?v=QO9a7h87DbA See how we develop even more concepts from this mathematical foundation. Ever wondered how numbers are actually defined? In this video, you'll learn the most common way it's done by mathematicians. MY PATREON IS NOW LIVE! B

From playlist Summer of Math Exposition 2 videos

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What are Non-Classical logics?

Some of the general classes of non-classical logics I touch in this videos are linear logic, relevant logic, modal logic, many-valued logics, minimal logic, paraconsistent logics and so on and so forth. Let me know if I should dive deeping into a certain scene? https://en.wikipedia.org/wi

From playlist Programming

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16. The Rawlsian Social Contract

Moral Foundations of Politics (PLSC 118) The next and final Enlightenment tradition to be examined in the class is that of John Rawls, who, according to Professor Shapiro, was a hugely important figure not only in contemporary political philosophy, but also in the field of philosophy as

From playlist The Moral Foundations of Politics with Ian Shapiro

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Can You Solve The Birthday Candles Puzzle? By Professor Henk Tijms'

Thanks to Professor Henk Tijms for this puzzle suggestion! A few years ago I read a probability book by Henk Tijms and really enjoyed it. So I was both surprised and thrilled to get an email from Professor Tijms saying he's a fan of MindYourDecisions! Today's problem is adapted from his ne

From playlist Statistics And Probability

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Two Candles, One Cake - Numberphile

Featuring Ben Sparks. See part 2 at https://youtu.be/l5gUrDg01cQ More links & stuff in full description below ↓↓↓ Ben Sparks Numberphile playlist: http://bit.ly/Sparks_Playlist Ben on the Numberphile Podcast: https://youtu.be/-tGni9ObJWk Ben's website: https://www.bensparks.co.uk Ben's o

From playlist Ben Sparks on Numberphile

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Breaking the curse of dimension in quantum mechanical computations through analysis and probability

Codina Cotar (Department of Statistical Science, UK) Codina Cotar is a Reader in Probability in the Department of Statistical Science, UCL. She completed her PhD in Probability in 2004 in the Statistics Group, the Department of Mathematics, University of Bristol. Between 2004-2011 she he

From playlist Women in data science conference

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Many Adults Cannot Solve This

A, B, and C share food at a party, and C pays A and B fairly. How much should each person get? The correct answer seems unfair, but it is surprisingly the only way to be fair. Version where I heard this problem with chapatis (2007) https://www.youtube.com/watch?v=AFMUEDiXBVA Playlist to

From playlist Math Puzzles, Riddles And Brain Teasers

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NIPS 2011 Learning Semantics Workshop: Learning Semantics of Movement

Learning Semantics Workshop at NIPS 2011 Invited Talk: Learning Semantics of Movement by Timo Honkela Abstract: In this presentation, we consider how to computationally model the interrelated processes of understanding natural language and perceiving and producing movement in multim

From playlist NIPS 2011 Learning Semantics Workshop

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Syntax - Trees: Crash Course Linguistics #4

There are many theories of syntax and different ways to represent grammatical structures, but one of the simplest is tree structure diagrams! In this episode of Crash Course Linguistics, we’ll use tree structure diagrams to keep track of words and groups of words within sentences, and we’l

From playlist Linguistics

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Graph Theory: 03. Examples of Graphs

We provide some basic examples of graphs in Graph Theory. This video will help you to get familiar with the notation and what it represents. We also discuss the idea of adjacent vertices and edges. --An introduction to Graph Theory by Dr. Sarada Herke. Links to the related videos: https

From playlist Graph Theory part-1

Related pages

Fair cake-cutting | Fair division