What is the jefferson method of voting?
Jefferson’s method uses a quota (called a divisor), as in the largest remainder method. The divisor is chosen as necessary so that the resulting quotients, disregarding any fractional remainders, sum to the required total; in other words, pick a number so that there is no need to examine the remainders.
How is Hare quota calculated?
The Hare quota is the oldest and simplest of the quotas: it is simply the total number of valid votes divided by the number of seats at stake in a constituency. The denominator is the number of seats contested. The Droop quota divides the total number of votes by the number of seats plus 1.
Who developed the Hamilton method and why?
The Hamilton method of apportionment is actually a largest-remainder method which uses the Hare Quota. It is named after Alexander Hamilton, who invented the largest-remainder method in 1792. It was first adopted to apportion the U.S. House of Representatives every ten years between 1852 and 1900.
How do you find the largest remainder?
October 16, 2015. The result of dividing a number n by a divisor d is a quotient q and a remainder r. Given a fixed n and a divisor d in the range 1 ≤ d < n, find the divisor that produces the largest possible remainder. For instance, given n = 20 and 1 ≤ d < 10, the largest remainder is 6 when the divisor d is 7.
What is the difference between Hamilton method and Jefferson method?
The first steps of Jefferson’s method are the same as Hamilton’s method. He finds the same divisor and the same quota, and cuts off the decimal parts in the same way, giving a total number of representatives that is less than the required total. The difference is in how Jefferson resolves that difference.
What is election quota?
An electoral quota is an election threshold. Types of electoral quotas: Hare quota. Droop quota. Imperiali quota.
What is Adams method?
Adams’s method divides all populations by a modified divisor and then rounds the results up to the upper quota. Just like Jefferson’s method we keep guessing modified divisors until the method assigns the correct number of seats. All the quotas are rounded up so the standard divisor will give a sum that is too large.
What is the max remainder?
The maximum size of the remainder in any division problem is the maximum divisor minus 1. If we are talking about a 16 bit unsigned divisor, it’s maximum value is 65535 or ((2^16)-1). This would imply that the maximum remainder is 65534.
Can a divisor of 9 have a remainder of 9?
1 Expert Answer Yes. As long as your remainder is less than the divisor (the number you are dividing by).
What is Hamilton’s math plan?
The Hamilton/Vinton Method sets the divisor as the proportion of the total population per house seat. After each state’s population is divided by the divisor, the whole number of the quotient is kept and the fraction dropped. This will result in surplus house seats.
What is Hare and Niemeyer?
It was used from 1987 to 2008 to allocate seats in the German Bundestag. The method is named after its developers: Thomas Hare (a British lawyer, 1806-1891) and Horst Niemeyer (a German mathematician, 1931-2007).
What is the Hare-Niemeyer method?
The Hare-Niemeyer method (also known as the largest remainder method) is a mathematical method to allocate seats under a proportional representation system. It was used from 1987 to 2008 to allocate seats in the German Bundestag.
What is the Hare method?
The method is named after its developers: Thomas Hare (a British lawyer, 1806-1891) and Horst Niemeyer (a German mathematician, 1931-2007). The latter proposed it for use in the German federal elections of 1970.