Exact division, also called consensus division, is a partition of a continuous resource ("cake") into some k pieces, such that each of n people with different tastes agree on the value of each of the pieces. For example, consider a cake which is half chocolate and half vanilla. Alice values only the chocolate and George values only the vanilla. The cake is divided into three pieces: one piece contains 20% of the chocolate and 20% of the vanilla, the second contains 50% of the chocolate and 50% of the vanilla, and the third contains the rest of the cake. This is an exact division (with k=3 and n=2), as both Alice and George value the three pieces as 20%, 50% and 30% respectively. Several common variants and special cases are known by different terms: * Consensus halving – the cake should be partitioned into two pieces (k=2), and all agents agree that the pieces have equal values. * Consensus 1/k-division, for any constant k>1 - the cake should be partitioned into k pieces, and all agents agree that the pieces have equal values. Another term is consensus splitting. * Perfect division – the number of pieces equals the number of agents: the cake should be partitioned into n pieces, and all agents agrees that all pieces have equal values. * -near-exact division, for any constant - the agents may disagree on the pieces values, but the difference between the values should be at most . Similarly, the approximate variants of the above-mentioned problems are called -consensus-halving, -consensus 1/k-division or -consensus-splitting, and -perfect-division. * Problem of the Nile - there are infinitely many agents. * Necklace splitting - the resource to divide is made of a finite number of indivisible objects ("beads"). When both n and k are finite, Consensus divisions always exist. However, they cannot be found by discrete protocols (with a finite number of queries). In some cases, exact divisions can be found by moving-knife protocols. Near-exact divisions can be found by discrete protocols. (Wikipedia).
From playlist Complex Multiplication
In this video we look at some formal definitions of polynomial division.
From playlist Polynomial Functions
Examples: Division by a Decimal with a Repeating Quotient
This video provides two examples of division by a decimal in which the quotient is a repeating decimal. Complete video list: http://www.mathispower4u.com
From playlist Multiplying and Dividing with Decimals
Prealgebra 1.6d - Division and Zero
A brief review of basic division. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.
From playlist Prealgebra Chapter 1 (Complete chapter)
Converting a Fraction to a Decimal - Part 2
This video shows how to convert a fraction to a decimal by writing performing long division. http://mathispower4u.yolasite.com/
From playlist Number Sense - Decimals, Percents, and Ratios
This video shows how to use single digit division to estimate larger division problems.
From playlist EngageNY Grade 6 Module 2
Why synthetic division works | Polynomial and rational functions | Algebra II | Khan Academy
Demonstrating why synthetic division gives you the same result as traditional algebraic long division Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/v/polynomial-remainder-theorem?utm_source=YT&utm_medium=Desc
From playlist Algebra II | High School Math | Khan Academy
Prealgebra 1.6g - Division with Estimation and Rounding
Dividing numbers quickly by estimating and rounding first, and when it is appropriate to do so. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.
From playlist Prealgebra Chapter 1 (Complete chapter)
Stochastic Mechanisms of Cell-Size Regulation in Bacteria by Anatoly Kolomeisky
PROGRAM STATISTICAL BIOLOGICAL PHYSICS: FROM SINGLE MOLECULE TO CELL (ONLINE) ORGANIZERS: Debashish Chowdhury (IIT Kanpur), Ambarish Kunwar (IIT Bombay) and Prabal K Maiti (IISc, Bengaluru) DATE: 07 December 2020 to 18 December 2020 VENUE: Online 'Fluctuation-and-noise' are themes tha
From playlist Statistical Biological Physics: From Single Molecule to Cell (Online)
Synthetic Division vs Long Division
In this video we will explore how to the differences between long division and synthetic division between two polynomials ⭐️ 3 Easy Synthetic Division Problems - https://youtu.be/WlIVBPo7G1o ✅ New videos on Polynomials - https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqVIxbhpVGNJAhpue94
From playlist Polynomials in Algebra 2
Prealgebra Lecture 4.3 Part 6: Multiplying and Dividing Fractions
From playlist Prealgebra Playlist 1
Olivier Wittenberg - On the cycle class map for zero-cycles over local fields
Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo avec Olivier Wittenberg (ENS et CNRS) The Chow group of zero-cycles of a smooth and projective variety defined over a field k is an invariant of an arithmetic and geometric nature which is well understood only when k is a finite field
From playlist Conférences Paris Pékin Tokyo
Ivelisse Rubio: "Exploring, generalizing and applying the covering method"
Latinx in the Mathematical Sciences Conference 2018 "Exploring, generalizing and applying the covering method" Ivelisse Rubio, University of Puerto Rico, Rio Piedras ABSTRACT: The divisibility of exponential sums has been used to characterize and prove properties in coding theory, crypto
From playlist Latinx in the Mathematical Sciences 2018
Divisible by 3 & 9: Why add the digits?
We've all seen the trick for figuring out whether a number is divisible by 3 or 9. But why does it work? Why can we just add up the digits? New math videos every Monday and Friday. Subscribe to make sure you see them!
From playlist Challenge Problems
Division using the quotitive method
There are two ways to interpret division facts: partitive and quotitive. In this video we talk about quotitive...also know as measurement...in which the size of each group is known, but the number of groups is unknown. This is for our CK12 project: https://flexbooks.ck12.org/user:zghhymvj
From playlist All About Whole Numbers