Rai

Rai may refer to:

Acronyms

Fictional characters

Geography

People

Rai Sport

Rai Sport may refer to one of the two following all sports channels, owned by the homonymous division of RAI:

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.