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Penrose Method
The Penrose method (or square-root method) is a method devised in 1946 by Professor Lionel Penrose for allocating the voting weights of delegations (possibly a single representative) in decision-making bodies proportional to the square root of the population represented by this delegation. This is justified by the fact that, due to the square root law of Penrose, the ''a priori'' voting power (as defined by the Penrose–Banzhaf index) of a member of a voting body is inversely proportional to the square root of its size. Under certain conditions, this allocation achieves equal voting powers for all people represented, independent of the size of their constituency. Proportional allocation would result in excessive voting powers for the electorates of larger constituencies. A precondition for the appropriateness of the method is ''en bloc'' voting of the delegations in the decision-making body: a delegation cannot split its votes; rather, each delegation has just a single vote to w ...
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Lionel Penrose
Lionel Sharples Penrose, FRS (11 June 1898 – 12 May 1972) was an English psychiatrist, medical geneticist, paediatrician, mathematician and chess theorist, who carried out pioneering work on the genetics of intellectual disability. Penrose was the Galton professor of eugenics (1945–1963), then professor of human genetics (1963–1965) at University College London, and later emeritus professor. Education Penrose was educated at the Downs School, Colwall and the Quaker Leighton Park School, Reading. On leaving school in 1916, he served, as a conscientious objector, with the Friends' Ambulance Unit/British Red Cross in France until the end of the First World War. He went on to study at St John's College, Cambridge, where he was a Cambridge Apostle. At Cambridge, he gained a first class degree in moral sciences before leaving for Vienna for a year, to study at the psychological department at the University of Vienna. In 1928, he qualified with the conjoint in 1928 at St Th ...
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European Union
The European Union (EU) is a supranational political and economic union of member states that are located primarily in Europe. The union has a total area of and an estimated total population of about 447million. The EU has often been described as a ''sui generis'' political entity (without precedent or comparison) combining the characteristics of both a federation and a confederation. Containing 5.8per cent of the world population in 2020, the EU generated a nominal gross domestic product (GDP) of around trillion in 2021, constituting approximately 18per cent of global nominal GDP. Additionally, all EU states but Bulgaria have a very high Human Development Index according to the United Nations Development Programme. Its cornerstone, the Customs Union, paved the way to establishing an internal single market based on standardised legal framework and legislation that applies in all member states in those matters, and only those matters, where the states have agreed to ac ...
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United States Presidential Election In Florida, 2000
The 2000 United States presidential election in Florida took place on November 7, 2000, as part of the nationwide presidential election. Florida, a swing state, had a major recount dispute that took center stage in the election. The outcome of the 2000 United States presidential election was not known for more than a month after balloting because of the extended process of counting and recounting Florida's presidential ballots. State results tallied on election night gave 246 electoral votes to Republican nominee Texas Governor George W. Bush and 255 to Democratic nominee Vice President Al Gore, with New Mexico (5), Oregon (7), and Florida (25) too close to call that evening. Gore won New Mexico and Oregon over the following few days; but the result in Florida was to be decisive, regardless of how those two states had voted. After an intense recount process and the United States Supreme Court's decision in '' Bush v. Gore'', Bush won Florida’s electoral votes by a margin o ...
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Columbia University
Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhattan, Columbia is the oldest institution of higher education in New York and the fifth-oldest institution of higher learning in the United States. It is one of nine colonial colleges founded prior to the Declaration of Independence. It is a member of the Ivy League. Columbia is ranked among the top universities in the world. Columbia was established by royal charter under George II of Great Britain. It was renamed Columbia College in 1784 following the American Revolution, and in 1787 was placed under a private board of trustees headed by former students Alexander Hamilton and John Jay. In 1896, the campus was moved to its current location in Morningside Heights and renamed Columbia University. Columbia scientists and scholars have ...
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World War II
World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposing military alliances: the Allies and the Axis powers. World War II was a total war that directly involved more than 100 million personnel from more than 30 countries. The major participants in the war threw their entire economic, industrial, and scientific capabilities behind the war effort, blurring the distinction between civilian and military resources. Aircraft played a major role in the conflict, enabling the strategic bombing of population centres and deploying the only two nuclear weapons ever used in war. World War II was by far the deadliest conflict in human history; it resulted in 70 to 85 million fatalities, mostly among civilians. Tens of millions died due to genocides (including the Holocaust), starvation, massa ...
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Voting In The Council Of The European Union
The procedures for voting in the Council of the European Union are described in the treaties of the European Union. The Council of the European Union (or simply "Council" or "Council of Ministers") has had its voting procedure amended by subsequent treaties and currently operates on the system set forth in the Treaty of Lisbon. The system is known as qualified majority voting. Current qualified majority voting rules (since 2014) Article 16 of the Treaty on European Union, as amended by the Treaty of Lisbon, stipulates that the Council voting arrangements of the Nice Treaty applied until 31 October 2014. Article 16 also states the conditions for a qualified majority, effective since 1 November 2014 (Lisbon rules): * Majority of countries: 55% (comprising at least 15 of them), or 72% if acting on a proposal from neither the Commission nor from the High Representative, and * Majority of population: 65%. A blocking minority requiresin addition to not meeting one of the two condit ...
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Treaty Of Lisbon
The Treaty of Lisbon (initially known as the Reform Treaty) is an international agreement that amends the two treaties which form the constitutional basis of the European Union (EU). The Treaty of Lisbon, which was signed by the EU member states on 13 December 2007, entered into force on 1 December 2009.eur-lex.europa.eu: " Official Journal of the European Union
C 115 Volume 51, 9 May 2008, retrieved 1 June 2014
It amends the (1992), known in updated form as the Treaty on European Union (2007) or TEU, as we ...
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Amsterdam Treaty
The Treaty of Amsterdam, officially the Treaty of Amsterdam amending the Treaty on European Union, the Treaties establishing the European Communities and certain related acts, was signed on 2 October 1997, and entered into force on 1 May 1999; it made substantial changes to the Treaty of Maastricht, which had been signed in 1992. Under the Treaty of Amsterdam, member states agreed to transfer certain powers from national governments to the European Parliament across diverse areas, including legislating on immigration, adopting civil and criminal laws, and enacting common foreign and security policy (CFSP), as well as implementing institutional changes for expansion as new member nations join the EU. Background The treaty was the result of long negotiations which began in Messina, Italy, on 2 June 1995, nearly forty years after the signing of the Treaty of Rome, and reached completion in Amsterdam on 18 June 1997. Following the formal signing of the Treaty on 2 October 1997, ...
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Treaty Of Nice
The Treaty of Nice was signed by European leaders on 26 February 2001 and came into force on 1 February 2003. It amended the Maastricht Treaty (or the Treaty on European Union) and the Treaty of Rome (or the Treaty establishing the European Community which, before the Maastricht Treaty, was the Treaty establishing the European Economic Community). The Treaty of Nice reformed the institutional structure of the European Union to withstand eastward expansion, a task which was originally intended to have been done by the Amsterdam Treaty, but failed to be addressed at the time. The entry into force of the treaty was in doubt for a time, after its initial rejection by Irish voters in a referendum in June 2001. This referendum result was reversed in a subsequent referendum held a little over a year later. Provisions of the treaty The Nice Treaty was attacked by many people as a flawed compromise. Germany had demanded that its greater population be reflected in a higher vote weight ...
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Square Root
In mathematics, a square root of a number is a number such that ; in other words, a number whose ''square'' (the result of multiplying the number by itself, or  ⋅ ) is . For example, 4 and −4 are square roots of 16, because . Every nonnegative real number has a unique nonnegative square root, called the ''principal square root'', which is denoted by \sqrt, where the symbol \sqrt is called the '' radical sign'' or ''radix''. For example, to express the fact that the principal square root of 9 is 3, we write \sqrt = 3. The term (or number) whose square root is being considered is known as the ''radicand''. The radicand is the number or expression underneath the radical sign, in this case 9. For nonnegative , the principal square root can also be written in exponent notation, as . Every positive number has two square roots: \sqrt, which is positive, and -\sqrt, which is negative. The two roots can be written more concisely using the ± sign as \plusmn\sq ...
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Eurostat
Eurostat ('European Statistical Office'; DG ESTAT) is a Directorate-General of the European Commission located in the Kirchberg, Luxembourg, Kirchberg quarter of Luxembourg City, Luxembourg. Eurostat's main responsibilities are to provide statistical information to the institutions of the European Union (EU) and to promote the harmonisation of statistical methods across its Member state of the European Union, member states and Enlargement of the European Union, candidates for accession as well as European Free Trade Association, EFTA countries. The organisations in the different countries that cooperate with Eurostat are summarised under the concept of the European Statistical System. Organisation Eurostat operates pursuant tRegulation (EC) No 223/2009 Since the swearing in of the von der Leyen Commission in December 2019, Eurostat is allocated to the portfolio of the European Commissioner for Economic and Financial Affairs, Taxation and Customs, European Commissioner for the Ec ...
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