Real Madrid C.F.

Real Madrid Club de Fútbol (Spanish pronunciation: [reˈal maˈðɾið ˈkluβ ðe ˈfuðβol]; Royal Madrid Football Club), commonly known as Real Madrid, or simply as Real, is a professional football club based in Madrid, Spain.

Founded in 1902 as Madrid Football Club, the team has traditionally worn a white home kit since inception. The word Real is Spanish for Royal and was bestowed to the club by King Alfonso XIII in 1920 together with the royal crown in the emblem. The team has played its home matches in the 81,044-capacity Santiago Bernabéu Stadium in downtown Madrid since 1947. Unlike most European sporting entities, Real Madrid's members (socios) have owned and operated the club throughout its history.

The club is the most valuable sports team in the world, worth €2.5 billion ($3.4 billion) and the world's highest-earning football club for 2013–14, with an annual revenue of €549.5 million. The club is one of the most widely supported teams in the world. Real Madrid is one of three founding members of the Primera División that have never been relegated from the top division, along with Athletic Bilbao and Barcelona. The club holds many long-standing rivalries, most notably El Clásico with Barcelona and the El Derbi madrileño with Atlético Madrid.

Chess notation

Chess notation is the term for several systems that have developed to record either the moves made in a game of chess or the position of pieces on a chessboard. The earliest systems of notation used lengthy narratives to describe each move; these gradually evolved into terser notation systems. Currently algebraic chess notation is the accepted standard and is widely used. Algebraic notation has several variations. Descriptive chess notation was used in English- and Spanish-language literature until the late 20th century, but is now obsolete. There are some special systems for international correspondence chess. Portable Game Notation is used when working with computer chess programs. Systems also exist for transmission using Morse code over telegraph or radio.

Recording moves

Some move-recording notations are designed mainly for use by human players; others are designed for use by computers.

Notation systems for humans

In recognized competitions, all players are required to record all the moves of both players in order to resolve disputes about whether a player has made an illegal move and what the position should now be. In addition, if there is a time limit rule that requires each player to complete a specified number of moves in a specified time, as there is in most serious competition, an accurate count of the moves must be kept. All chess coaches strongly recommend the recording of one's games so that one can look for improvements in one's play. The algebraic and descriptive notations are also used in books about chess.

Mathematical fallacy

In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept of mathematical fallacy. There is a distinction between a simple mistake and a mathematical fallacy in a proof: a mistake in a proof leads to an invalid proof just in the same way, but in the best-known examples of mathematical fallacies, there is some concealment in the presentation of the proof. For example, the reason validity fails may be a division by zero that is hidden by algebraic notation. There is a striking quality of the mathematical fallacy: as typically presented, it leads not only to an absurd result, but does so in a crafty or clever way. Therefore, these fallacies, for pedagogic reasons, usually take the form of spurious proofs of obvious contradictions. Although the proofs are flawed, the errors, usually by design, are comparatively subtle, or designed to show that certain steps are conditional, and should not be applied in the cases that are the exceptions to the rules.

Coppa Italia

The Coppa Italia (Italian for Italy Cup, officially known as TIM Cup because of its sponsorship) is an Italian football annual cup competition. Its first edition was held in 1922, but the second champions were not crowned until 1936. Juventus leads the way with ten wins, followed by Roma with nine. Roma has contested more finals, 17, while Juventus follow with 15. The holder can wear a "tricolore" cockade (Italian: coccarda), like the roundels that appear on military aircraft, and qualifies for a UEFA Europa League spot for the next season.

Format

The competition is a knockout tournament with pairings for each round made in advance; the draw for the whole competition is made before a ball is kicked. Each tie is played as a single leg, with the exception of the two-legged semi-finals. If a match is drawn, extra time is played. In the event of a draw after 120 minutes, a penalty shoot-out is contested. As well as being presented with the trophy, the winning team also qualifies for the UEFA Europa League (formerly named the UEFA Cup). If the winners have already qualified for the UEFA Champions League via Serie A, or are not entitled to play in UEFA competitions for any reason, the place goes to the next highest placed finisher in the league table.

Madrid

Madrid (/məˈdrɪd/, Spanish: [maˈðɾid], locally: [maˈðɾiθ, -ˈðɾi]) is a south-western European city, the capital of Spain, and the largest municipality of the Community of Madrid. The population of the city is almost 3.2 million with a metropolitan area population of around 6.5 million. It is the third-largest city in the European Union, after London and Berlin, and its metropolitan area is the third-largest in the European Union after London and Paris. The city spans a total of 604.3 km² (233.3 sq mi).

The city is located on the Manzanares River in the centre of both the country and the Community of Madrid (which comprises the city of Madrid, its conurbation and extended suburbs and villages); this community is bordered by the autonomous communities of Castile and León and Castile-La Mancha. As the capital city of Spain, seat of government, and residence of the Spanish monarch, Madrid is also the political, economic and cultural centre of Spain. The current mayor is Manuela Carmena from Ahora Madrid.