Balance or balancedness is a property of apportionment methods, which are methods of allocating identical items between among agens, such as dividing seats in a parliament among political parties or federal states. The property says that, if two agents have exactly the same entitlements, then the number of items they receive should differ by at most one. So if two parties win the same number of votes, or two states have the same populations, then the number of seats they receive should differ by at most one. Ideally, agents with identical entitlements should receive an identical number of items, but this may be impossible due to the indivisibility of the items. Balancedness requires that the difference between identical-entitlement agents should be the smallest difference allowed by the indivisibility, which is 1. For example, if there are 2 equal-entitlement agents and 9 items, then the allocations (4,5) and (5,4) are both allowed, but the allocations (3,6) or (6,3) are not - a difference of 3 is not justified even by indivisibility. (Wikipedia).
This video provides an introduction to apportionment. Site: http://mathispower4u.com
From playlist Apportionment
2D Equilibrium -- Balancing Games
How does everything even out? Learn what 2D Equilibrium is and how it effects the balance of life. License: Creative Commons BY-NC-SA More information at http://k12videos.mit.edu/terms-conditions
From playlist Measurement
The idea of ‘atonement’ sounds very old-fashioned and is deeply rooted in religious tradition. To atone means, in essence, to acknowledge one’s capacity for wrongness and one’s readiness for apology and desire for change. It’s a concept that every society needs at its center. For gifts and
From playlist RELATIONSHIPS
Solving an Absolute Value Equation and Checking for Extraneous Solutions
Learn how to solve absolute value equations with extraneous solutions. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value problem, we first isolate the absolute value
From playlist Solve Absolute Value Equations
Solving Absolute value equations with a variable on both sides
Learn how to solve absolute value equations with extraneous solutions. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value problem, we first isolate the absolute value
From playlist Solve Absolute Value Equations
How To Solve an Absolute Value Equation and Test Our Solutions when They Do Not Work
Learn how to solve absolute value equations with extraneous solutions. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value problem, we first isolate the absolute value
From playlist Solve Absolute Value Equations
Apportionment: The Alabama Paradox
This video explains and provides an example of the Alabama paradox. Site: http://mathispower4u.com
From playlist Apportionment
Apportionment: Hamilton's Method
This video explains and provides an example of the Hamilton's method of apportionment.. Site: http://mathispower4u.com
From playlist Apportionment
Learn How To Solve an Absolute Value Equation and Check Your Answers
Learn how to solve absolute value equations with extraneous solutions. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value problem, we first isolate the absolute value
From playlist Solve Absolute Value Equations
Apportionment: Huntington-Hill Method
This video explains and provides an example of the Huntington-Hill method of apportionment. Site: http://mathispower4u.com
From playlist Apportionment
Apportionment: Webster's Method
This video explains Webster's method of apportionment. Site: http://mathispower4u.com
From playlist Apportionment
Apportionment: Jefferson's Method
This video explains and provides an example of Jefferson's method of apportionment.. Site: http://mathispower4u.com
From playlist Apportionment
Math for Liberal Studies: Apportionment -- Introduction
In this video, we learn the basic concepts we use to solve apportionment problems. Once you have watched this video, you're ready to learn about how to actually solve an apportionment problem using one of the methods below: Hamilton's Method: Jefferson's Method: Adams' Method: Webster's
From playlist Math for Liberal Studies
Apportionment: The New States Paradox
The video explains the new states paradox and provides an example of the population paradox. Site: http://mathispower4u.com
From playlist Apportionment
Solving a multi step absolute value equation
Learn how to solve absolute value equations with extraneous solutions. Absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value problem, we first isolate the absolute value
From playlist Solve Absolute Value Equations
Math for Liberal Studies - Lecture 2.7.1 The Apportionment Problem
This is the first video lecture for Math for Liberal Studies Section 2.7: Apportionment. In this video, I give an overview of the apportionment problem: assigning representatives to states based on their population.
From playlist Math for Liberal Studies Lectures
What is the definition of absolute value
http://www.freemathvideos.com In this video playlist you will learn how to solve and graph absolute value equations and inequalities. When working with absolute value equations and functions it is important to understand that the absolute value symbol represents the absolute distance from
From playlist Solve Absolute Value Equations
Math for Liberal Studies - Lecture 2.7.2 Hamilton's Method and Apportionment Paradoxes
This is the second video lecture for Math for Liberal Studies Section 2.7: Apportionment. In this video, we learn how to use Hamilton's Method to assign a whole number of seats to each state based on their population. We also discuss several "paradoxes" that result from this method.
From playlist Math for Liberal Studies Lectures