Symmetric fair cake-cutting is a variant of the fair cake-cutting problem, in which fairness is applied not only to the final outcome, but also to the assignment of roles in the division procedure. As an example, consider a birthday cake that has to be divided between two children with different tastes, such that each child feels that his/her share is "fair", i.e., worth at least 1/2 of the entire cake. They can use the classic divide and choose procedure: Alice cuts the cake into two pieces worth exactly 1/2 in her eyes, and George chooses the piece that he considers more valuable. The outcome is always fair. However, the procedure is not symmetric: while Alice always gets a value of exactly 1/2 of her value, George may get much more than 1/2 of his value. Thus, while Alice does not envy George's share, she does envy George's role in the procedure. In contrast, consider the alternative procedure in which Alice and George both make half-marks on the cake, i.e., each of them marks the location in which the cake should be cut such that the two pieces are equal in his/her eyes. Then, the cake is cut exactly between these cuts—if Alice's cut is a and George's cut is g, then the cake is cut at (a+g)/2. If a
This video introduced fair division. Site: http://mathispower4u.com
From playlist Fair Division
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
Ryuhei Uehara - Design Schemes for Fair Dice - G4G13 April 2018
A cube is used as a fair die of 6 faces. However, there are many dice of different shapes on the market. To make them fair, most of them usually have some symmetric shapes. I classify these variants of dice on the market into two groups. First, let's consider that a sphere as a model of a
From playlist G4G13 Videos
How to make fondant cakes - complete tutorial -Part 3
Part 2 - http://www.youtube.com/watch?v=SaBI6IjIGy0
From playlist Tutorials
Fair Division: The Last Diminisher Method
This video explains and provides an example of the last diminisher method of fair division. Site: http://mathispower4u.com
From playlist Fair Division
Fair Division: The Sealed Bid Method
This video explains and provides examples of how to apply the sealed bid method. Site: http://mathispower4u.com
From playlist Fair Division
Fair Division: The Moving Knife Method
This video explains and provides an example of the moving knife method. Site: http://mathispower4u.com
From playlist Fair Division
Graphical Solution of Absolute Value Inequality |x-2| + |2x+1| ≥ 3
More resources available at www.misterwootube.com
From playlist Further Work with Functions
Equally sharing a cake between three people - Numberphile
Audible (30-day trial, free audio book): https://www.audible.com/numberphile More links & stuff in full description below ↓↓↓ This video features Dr Hannah Fry. More videos with Hannah: http://bit.ly/hannah_vids Hannah's website: http://www.hannahfry.co.uk Her book mentioned is "The Mathe
From playlist Women in Mathematics - Numberphile
Mathematics of Fair Distribution using the Lone-Chooser Method. This example invloves a cake being shared by three players. Recall, that the cake is a metaphor for any continuously divisible item
From playlist Discrete Math
J. Bruinier et J. Ignacio Burgos Gil - Arakelov theory on Shimura varieties (part1)
A Shimura variety is a higher-dimensional analogue of a modular curve that arises as a quotient of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over Q. Shimura varieties have a very rich geometric and arithmetic structure. For instance they ar
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes
Solving the Listener no 4,482 (by Zero)
Mark his explains his solve of this entertaining Listener: A Paper Construction by Zero
From playlist Listener crossword guides
Algebra For Kids - Word Problems with Fractions
This series of videos is an introduction to Algebra, with 3rd and 4th graders in mind, and all other math enthusiasts! In this video, we solve a couple of word problems that involve fractions and algebra. For the time being, this is the last video of our algebra sequence! We will come back
From playlist Algebra for Kids
Has The Witness Returned? Let's Play TAIJI - Part 5
Simon attempts a new game which has been recommended to us as similar to The Witness. It's called Taiji and it's available here: https://store.steampowered.com/app/1141580/Taiji/ *** SUPPORT US HERE *** Join us on Patreon and become part of the best sudoku club this planet has to offer
From playlist Taiji
Fair Division: The Divider-Chooser Method
The video explains the divider-chooser method of fair division. Site: http://mathispower4u.com
From playlist Fair Division
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