Square Root Rule
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Square Root Rule
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 whi ...
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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 Genetics is the study of genes, genetic variation, and heredity in organisms.Hartl D, Jones E (2005) It is an important branch in biology because heredity is vital to organisms' evolution. Gregor Mendel, a Moravian Augustinians, Augustinian ... of intellectual disability. Penrose was initially the Galton professor of eugenics (1945–1963) at University College London, before having his title changed to professor of human genetics (1963–1965) at his request. He was later emeritus professor. Education Penrose was educated at the Downs School, Colwall and the Quaker Leighton Park School, Reading, Berkshire, 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 ...
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European Union
The European Union (EU) is a supranational union, supranational political union, political and economic union of Member state of the European Union, member states that are Geography of the European Union, located primarily in Europe. The union has a total area of and an estimated population of over 449million as of 2024. The EU is often described as a ''sui generis'' political entity combining characteristics of both a federation and a confederation. Containing 5.5% of the world population in 2023, EU member states generated a nominal gross domestic product (GDP) of around €17.935 trillion in 2024, accounting for approximately one sixth of global economic output. Its cornerstone, the European Union Customs Union, Customs Union, paved the way to establishing European Single Market, an internal single market based on standardised European Union law, legal framework and legislation that applies in all member states in those matters, and only those matters, where the states ...
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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 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 of only ...
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Columbia University
Columbia University in the City of New York, commonly referred to as Columbia University, is a Private university, private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church (Manhattan), Trinity Church in Manhattan, it is the oldest institution of higher education in New York (state), New York and the fifth-First university in the United States, oldest in the United States. Columbia was established as a Colonial colleges, colonial college by royal charter under George II of Great Britain. It was renamed Columbia College (New York), Columbia College in 1784 following the American Revolution, and in 1787 was placed under Trustees of Columbia University in the City of New York, 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 is organized into twenty schoo ...
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World War II
World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the world's countries participated, with many nations mobilising all resources in pursuit of total war. Tanks in World War II, Tanks and Air warfare of World War II, aircraft played major roles, enabling the strategic bombing of cities and delivery of the Atomic bombings of Hiroshima and Nagasaki, first and only nuclear weapons ever used in war. World War II is the List of wars by death toll, deadliest conflict in history, causing World War II casualties, the death of 70 to 85 million people, more than half of whom were civilians. Millions died in genocides, including the Holocaust, and by massacres, starvation, and disease. After the Allied victory, Allied-occupied Germany, Germany, Allied-occupied Austria, Austria, Occupation of Japan, Japan, a ...
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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 is a type of consociational democracy. 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. Qualified majority Article 16 also states the conditions for a ''qualified majority'', effective since 1 November 2014: * Majority of countries: 55% (comprising at least 15 of them) and * Majority of population: 65%. A ''blocking minority'' requiresin addition to not meeting one of the two conditions abovethat at least 4 countries ( ...
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Treaty Of Lisbon
The Treaty of Lisbon (initially known as the Reform Treaty) is a European agreement that amends the two treaties which form the constitutional basis of the European Union (EU). The Treaty of Lisbon, which was signed by all 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 Maastricht Treaty (1992), known in updated form as the Treaty on European Union (2007) or TEU, as well as the
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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 Maastricht Treaty, 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, the me ...
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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 weigh ...
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Square Root
In mathematics, a square root of a number is a number such that y^2 = x; in other words, a number whose ''square'' (the result of multiplying the number by itself, or y \cdot y) is . For example, 4 and −4 are square roots of 16 because 4^2 = (-4)^2 = 16. Every nonnegative real number has a unique nonnegative square root, called the ''principal square root'' or simply ''the square root'' (with a definite article, see below), 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 non-negative , the principal square root can also be written in exponent notation, as x^. Every positive number has two square roots: \sqrt (which is positive) and -\sqrt (which i ...
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Eurostat
Eurostat ("European Statistical Office"; also DG ESTAT) is a department of the European Commission ( Directorate-General), located in the 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 states and candidates for accession as well as 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 to Regulation (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 the Economy, Paolo Gentiloni. The Director-General of Eurostat is Mariana Kotzeva, former Deputy Director-General of Eurostat and President of the National Statistical Institute ...
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