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Droop Quota
In the study of Electoral system, electoral systems, the Droop quota (sometimes called the Eduard Hagenbach-Bischoff, Hagenbach-Bischoff, Britton, or Newland-Britton quota) is the Infimum, minimum number of votes a party or candidate needs to receive in a district to guarantee they will win at least one seat. Reprinted in ''Voting matters Issue 24'' (October 2007) pp. 7–46. The Droop quota is used to extend the concept of a majority to multiwinner elections, taking the place of the 50% bar in single-winner elections. Just as any candidate with more than half of all votes is guaranteed to be declared the winner in single-seat election, any candidate with more than a Droop quota's worth of votes is guaranteed to win a seat in a Multiwinner voting, multiwinner election. Besides establishing winners, the Droop quota is used to define the number of excess votes, i.e. votes not needed by a candidate who has been declared elected. In proportional electoral quota, quota-based syste ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Electoral System
An electoral or voting system is a set of rules used to determine the results of an election. Electoral systems are used in politics to elect governments, while non-political elections may take place in business, nonprofit organizations and informal organisations. These rules govern all aspects of the voting process: when elections occur, Suffrage, who is allowed to vote, Nomination rules, who can stand as a candidate, Voting method, how ballots are marked and cast, how the ballots are counted, how votes translate into the election outcome, limits on Campaign finance, campaign spending, and other factors that can affect the result. Political electoral systems are defined by constitutions and electoral laws, are typically conducted by election commissions, and can use multiple types of elections for different offices. Some electoral systems elect a single winner to a unique position, such as prime minister, president or governor, while others elect multiple winners, such as membe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Northern Ireland
Northern Ireland ( ; ) is a Countries of the United Kingdom, part of the United Kingdom in the north-east of the island of Ireland. It has been #Descriptions, variously described as a country, province or region. Northern Ireland shares Republic of Ireland–United Kingdom border, an open border to the south and west with the Republic of Ireland. At the 2021 United Kingdom census, 2021 census, its population was 1,903,175, making up around 3% of the Demographics of the United Kingdom#Population, UK's population and 27% of the population on the island of Ireland#Demographics, Ireland. The Northern Ireland Assembly, established by the Northern Ireland Act 1998, holds responsibility for a range of Devolution, devolved policy matters, while other areas are reserved for the Government of the United Kingdom, UK Government. The government of Northern Ireland cooperates with the government of Ireland in several areas under the terms of the Good Friday Agreement. The Republic of Ireland ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
George Washington
George Washington (, 1799) was a Founding Fathers of the United States, Founding Father and the first president of the United States, serving from 1789 to 1797. As commander of the Continental Army, Washington led Patriot (American Revolution), Patriot forces to victory in the American Revolutionary War against the British Empire. He is commonly known as the Father of the Nation for his role in bringing about American independence. Born in the Colony of Virginia, Washington became the commander of the Virginia Regiment during the French and Indian War (1754–1763). He was later elected to the Virginia House of Burgesses, and opposed the perceived oppression of the American colonists by the British Crown. When the American Revolutionary War against the British began in 1775, Washington was appointed Commanding General of the United States Army, commander-in-chief of the Continental Army. He directed a poorly organized and equipped force against disciplined British troops. Wa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Common Errors
Each entry on this list of common misconceptions is worded as a correction; the misconceptions themselves are implied rather than stated. These entries are concise summaries; the main subject articles can be consulted for more detail. Common misconceptions are viewpoints or factoids that are often accepted as true, but which are actually false. They generally arise from conventional wisdom (such as old wives' tales), stereotypes, superstitions, fallacies, a misunderstanding of science, or the popularization of pseudoscience. Some common misconceptions are also considered to be urban legends, and they are sometimes involved in moral panics. Arts and culture '' View full version with citations'' History '' View full version with citations'' Science, technology and mathematics '' View full version with citations'' See also * Legends and myths regarding the ''Titanic'' * List of cognitive biases * List of conspiracy theories * List of fallacies * List of topics charac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ceiling Function
In mathematics, the floor function is the function that takes as input a real number , and gives as output the greatest integer less than or equal to , denoted or . Similarly, the ceiling function maps to the least integer greater than or equal to , denoted or . For example, for floor: , , and for ceiling: , and . The floor of is also called the integral part, integer part, greatest integer, or entier of , and was historically denoted (among other notations). However, the same term, ''integer part'', is also used for truncation towards zero, which differs from the floor function for negative numbers. For an integer , . Although and produce graphs that appear exactly alike, they are not the same when the value of is an exact integer. For example, when , . However, if , then , while . Notation The ''integral part'' or ''integer part'' of a number ( in the original) was first defined in 1798 by Adrien-Marie Legendre in his proof of the Legendre's formula. Ca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Counting Single Transferable Votes
The single transferable vote (STV) is a proportional representation system and ranked voting rule that elects multiple winners. Under STV, an elector's vote is initially allocated to their first-ranked candidate. Candidates are elected (''winners'') if their vote tally exceeds the electoral quota''.'' Any surplus votes (those exceeding quota) are transferred from winners to the remaining candidates (''hopefuls'') according to the surplus ballots' next usable back-up preference. The system attempts to ensure factions are represented proportionally, without the need for official party lists, by having each winner elected with roughly the same number of votes. There are several variants of the Single Transferable Vote, each with different properties. Voting When using an STV ballot, the voter ranks candidates on the ballot. For example: Some, but not all single transferable vote systems require a preference to be expressed for every candidate, or for the voter to express at l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abuse Of Notation
In mathematics, abuse of notation occurs when an author uses a mathematical notation in a way that is not entirely formally correct, but which might help simplify the exposition or suggest the correct intuition (while possibly minimizing errors and confusion at the same time). However, since the concept of formal/syntactical correctness depends on both time and context, certain notations in mathematics that are flagged as abuse in one context could be formally correct in one or more other contexts. Time-dependent abuses of notation may occur when novel notations are introduced to a theory some time before the theory is first formalized; these may be formally corrected by solidifying and/or otherwise improving the theory. ''Abuse of notation'' should be contrasted with ''misuse'' of notation, which does not have the presentational benefits of the former and should be avoided (such as the misuse of constants of integration). A related concept is abuse of language or abuse of termin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Simple Majority Voting
In social choice theory, the majority rule (MR) is a social choice rule which says that, when comparing two options (such as bills or candidates), the option preferred by more than half of the voters (a ''majority'') should win. In political philosophy, the ''majority rule'' is one of two major competing notions of democracy. The most common alternative is given by the utilitarian rule (or other welfarist rules), which identify the spirit of liberal democracy with the equal consideration of interests.Ball, Terence and Antis Loizides"James Mill" The Stanford Encyclopedia of Philosophy (Winter 2020 Edition), Edward N. Zalta (ed.). Although the two rules can disagree in theory, political philosophers beginning with James Mill have argued the two can be reconciled in practice, with majority rule being a valid approximation to the utilitarian rule whenever voters share similarly-strong preferences. This position has found strong support in many social choice models, where the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Single Transferable Vote
The single transferable vote (STV) or proportional-ranked choice voting (P-RCV) is a multi-winner electoral system in which each voter casts a single vote in the form of a ranked ballot. Voters have the option to rank candidates, and their vote may be transferred according to alternative preferences if their preferred candidate is eliminated or elected with surplus votes, so that their vote is used to elect someone they prefer over others in the running. STV aims to approach proportional representation based on votes cast in the district where it is used, so that each vote is worth about the same as another. STV is a family of multi-winner proportional representation electoral systems. The proportionality of its results and the proportion of votes actually used to elect someone are equivalent to those produced by proportional representation election systems based on lists. STV systems can be thought of as a variation on the largest remainders method that uses candidate-based so ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Largest Remainders Method
Party-list proportional representation Apportionment methods The quota or divide-and-rank methods make up a category of apportionment rules, i.e. algorithms for allocating seats in a legislative body among multiple groups (e.g. parties or federal states). The quota methods begin by calculating an entitlement (basic number of seats) for each party, by dividing their vote totals by an electoral quota (a fixed number of votes needed to win a seat, as a unit). Then, leftover seats, if any are allocated by rounding up the apportionment for some parties. These rules are typically contrasted with the more popular highest averages methods (also called divisor methods). By far the most common quota method are the largest remainders or quota-shift methods, which assign any leftover seats to the "plurality" winners (the parties with the largest remainders, i.e. most leftover votes). When using the Hare quota, this rule is called Hamilton's method, and is the third-most common app ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
No-show Paradox
The participation criterion is a Comparison of electoral systems, voting system criterion that says candidates should never lose an election as a result of receiving too many votes in support. More formally, it says that adding more voters who prefer ''Alice'' to ''Bob'' should not cause ''Alice'' to lose the election to ''Bob''. Voting systems that fail the participation criterion exhibit the no-show paradox, where a voter is effectively disenfranchised by the electoral system because turning out to vote could make the result worse for them; such voters are sometimes referred to as having negative vote weights, particularly in the context of Basic Law for the Federal Republic of Germany, German constitutional law, where courts have ruled such a possibility violates the principle of one man, one vote. Positional voting, Positional methods and score voting satisfy the participation criterion. All deterministic voting rules that satisfy Condorcet method, pairwise majority-rule can f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proportional Representation
Proportional representation (PR) refers to any electoral system under which subgroups of an electorate are reflected proportionately in the elected body. The concept applies mainly to political divisions (Political party, political parties) among voters. The aim of such systems is that all votes cast contribute to the result so that each representative in an assembly is mandated by a roughly equal number of voters, and therefore all votes have equal weight. Under other election systems, a bare Plurality (voting), plurality or a scant majority in a district are all that are used to elect a member or group of members. PR systems provide balanced representation to different factions, usually defined by parties, reflecting how votes were cast. Where only a choice of parties is allowed, the seats are allocated to parties in proportion to the vote tally or ''vote share'' each party receives. Exact proportionality is never achieved under PR systems, except by chance. The use of elector ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
