Bader–Ofer Method
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Bader–Ofer Method
The D'Hondt method, also called the Jefferson method or the greatest divisors method, is an Apportionment (politics), apportionment method for allocating seats in parliaments among federal states, or in proportional representation among political parties. It belongs to the class of highest averages method, highest-averages methods. Compared to ideal proportional representation, the D'Hondt method reduces somewhat the political fragmentation for smaller electoral district sizes, where it favors larger political parties over small parties. The method was first described in 1792 by American United States Secretary of State, Secretary of State and later President of the United States Thomas Jefferson. It was re-invented independently in 1878 by Belgian mathematician Victor D'Hondt, which is the reason for its two different names. Motivation Proportional representation systems aim to allocate seats to parties approximately in proportion to the number of votes received. For example, ...
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Apportionment (politics)
Apportionment is the process by which seats in a Legislature, legislative body are distributed among administrative divisions, such as states or parties, entitled to Representation (politics), representation. This page presents the general principles and issues related to apportionment. The apportionment by country page describes the specific practices used around the world. The Mathematics of apportionment page describes mathematical formulations and properties of apportionment rules. The simplest and most universal principle is that elections should One man, one vote, give each vote an equal weight. This is both intuitive and stated in laws such as the Fourteenth Amendment to the United States Constitution (the Equal Protection Clause). One example of deliberate malapportionment is seen in bicameral legislatures: while one house, often called a house of commons or representatives, is based on proportional representation, the other is based on regional representation. This is mod ...
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Christina Pagel
Christina Pagel ( ) FMedSci HonFFPH is a German-British mathematician and professor of operational research at University College London (UCL) within UCL's Clinical Operational Research Unit (CORU), which applies operational research, data analysis and mathematical modelling to topics in healthcare. She was Director of UCL CORU from 2017 to 2022 and is currently Vice President of the UK Operational Research Society. She also co-leads, alongside Rebecca Shipley, UCL's CHIMERA research hub which analyses data from critically ill hospital patients. Early life and education Pagel graduated with a BA in mathematics from The Queen's College, Oxford in 1996. She also holds an MSc in Mathematical Physics from King's College London, and MAs in Classical Civilisation, Medieval History and an MSc in Applied Statistics with Medical Applications from Birkbeck College, University of London. In 2002 Pagel was awarded a PhD in Space Physics on ''Turbulence in the interplanetary magnetic fi ...
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Denmark
Denmark is a Nordic countries, Nordic country in Northern Europe. It is the metropole and most populous constituent of the Kingdom of Denmark,, . also known as the Danish Realm, a constitutionally unitary state that includes the Autonomous administrative division, autonomous territories of the Faroe Islands and Greenland in the north Atlantic Ocean.* * * Metropolitan Denmark, also called "continental Denmark" or "Denmark proper", consists of the northern Jutland peninsula and an archipelago of 406 islands. It is the southernmost of the Scandinavian countries, lying southwest of Sweden, south of Norway, and north of Germany, with which it shares a short border. Denmark proper is situated between the North Sea to the west and the Baltic Sea to the east.The island of Bornholm is offset to the east of the rest of the country, in the Baltic Sea. The Kingdom of Denmark, including the Faroe Islands and Greenland, has roughly List of islands of Denmark, 1,400 islands greater than in ...
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Albania
Albania ( ; or ), officially the Republic of Albania (), is a country in Southeast Europe. It is located in the Balkans, on the Adriatic Sea, Adriatic and Ionian Seas within the Mediterranean Sea, and shares land borders with Montenegro to the northwest, Kosovo to the northeast, North Macedonia to the east and Greece to the south. With an area of , it has a varied range of climatic, geological, hydrological and morphological conditions. Albania's landscapes range from rugged snow-capped mountains in the Accursed Mountains, Albanian Alps and the Korab, Central Mountain Range, Albania#Skanderbeg Mountains, Skanderbeg, Pindus and Ceraunian Mountains, to fertile lowland plains extending from the Albanian Adriatic Sea Coast, Adriatic and Albanian Ionian Sea Coast, Ionian seacoasts. Tirana is the capital and largest city in the country, followed by Durrës, Vlorë, and Shkodër. Albania was inhabited by several List of Illyrian peoples and tribes, Illyrian tribes, among them the A ...
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Electoral Threshold
The electoral threshold, or election threshold, is the minimum share of votes that a candidate or political party requires before they become entitled to representation or additional seats in a legislature. This limit can operate in various ways; for example, in party-list proportional representation systems where an electoral threshold requires that a party must receive a specified minimum percentage of votes (e.g. 5%), either nationally or in a particular electoral district, to obtain seats in the legislature. In single transferable voting, the election threshold is called the quota, and it is possible to achieve it by receiving first-choice votes alone or by a combination of first-choice votes and votes transferred from other candidates based on lower preferences. In mixed-member-proportional (MMP) systems, the election threshold determines which parties are eligible for top-up seats in the legislative chamber. Some MMP systems still allow a party to retain the seats the ...
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Integer
An integer is the number zero (0), a positive natural number (1, 2, 3, ...), or the negation of a positive natural number (−1, −2, −3, ...). The negations or additive inverses of the positive natural numbers are referred to as negative integers. The set (mathematics), set of all integers is often denoted by the boldface or blackboard bold The set of natural numbers \mathbb is a subset of \mathbb, which in turn is a subset of the set of all rational numbers \mathbb, itself a subset of the real numbers \mathbb. Like the set of natural numbers, the set of integers \mathbb is Countable set, countably infinite. An integer may be regarded as a real number that can be written without a fraction, fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, , 5/4, and Square root of 2, are not. The integers form the smallest Group (mathematics), group and the smallest ring (mathematics), ring containing the natural numbers. In algebraic number theory, the ...
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Remainder
In mathematics, the remainder is the amount "left over" after performing some computation. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient ( integer division). In algebra of polynomials, the remainder is the polynomial "left over" after dividing one polynomial by another. The ''modulo operation'' is the operation that produces such a remainder when given a dividend and divisor. Alternatively, a remainder is also what is left after subtracting one number from another, although this is more precisely called the '' difference''. This usage can be found in some elementary textbooks; colloquially it is replaced by the expression "the rest" as in "Give me two dollars back and keep the rest." However, the term "remainder" is still used in this sense when a function is approximated by a series expansion, where the error expression ("the rest") is referred to as the remainder term. Integer division Gi ...
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Largest Remainder 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 ap ...
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Israel
Israel, officially the State of Israel, is a country in West Asia. It Borders of Israel, shares borders with Lebanon to the north, Syria to the north-east, Jordan to the east, Egypt to the south-west, and the Mediterranean Sea to the west. Israeli-occupied territories, It occupies the Occupied Palestinian territories, Palestinian territories of the West Bank in the east and the Gaza Strip in the south-west. Israel also has a small coastline on the Red Sea at its southernmost point, and part of the Dead Sea lies along its eastern border. Status of Jerusalem, Its proclaimed capital is Jerusalem, while Tel Aviv is the country's Gush Dan, largest urban area and Economy of Israel, economic center. Israel is located in a region known as the Land of Israel, synonymous with the Palestine (region), Palestine region, the Holy Land, and Canaan. In antiquity, it was home to the Canaanite civilisation followed by the History of ancient Israel and Judah, kingdoms of Israel and Judah. Situate ...
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1790 United States Census
The 1790 United States census was the first United States census. It recorded the population of the whole United States as of Census Day, August 2, 1790, as mandated by Article 1, Section 2, of the Constitution and applicable laws. In the first census, the population of the United States was enumerated to be 3,929,214 inhabitants. Congress assigned responsibility for the 1790 census to the marshals of United States judicial districts under an act, which with minor modifications and extensions, governed census taking through the 1840 census. "The law required that every household be visited, that completed census schedules be posted in 'two of the most public places within ach jurisdiction there to remain for the inspection of all concerned...' and that 'the aggregate amount of each description of persons' for every district be transmitted to the president." The census was published in 1791. It was 56 pages and cost $44,377.28. Contemporary perception Both Secretary of State ...
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United States House Of Representatives
The United States House of Representatives is a chamber of the Bicameralism, bicameral United States Congress; it is the lower house, with the U.S. Senate being the upper house. Together, the House and Senate have the authority under Article One of the United States Constitution, Article One of the Constitution of the United States, U.S. Constitution to pass or defeat federal legislation, known as Bill (United States Congress), bills. Those that are also passed by the Senate are sent to President of the United States, the president for signature or veto. The House's exclusive powers include initiating all revenue bills, Impeachment in the United States, impeaching federal officers, and Contingent election, electing the president if no candidate receives a majority of votes in the United States Electoral College, Electoral College. Members of the House serve a Fixed-term election, fixed term of two years, with each seat up for election before the start of the next Congress. ...
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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 ...
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