Smithman Qualitative Index
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Smithman Qualitative Index
The Smithman Qualitative Soccer Index (SQS Index or Smithman Index) is a mathematical system for the ranking of amateur athletes in competitive football. The index ranks players by on both defensive (including goal tending) and offensive capabilities. It is an outgrowth of the work of ''Douglas et al.'' (1952) for the qualification of amateur sports competence. History Until 1987, the standard method of displaying a score on the SQS Index was to use a complex number In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted , called the imaginary unit and satisfying the equation i^= -1; every complex number can be expressed in the for ... where the first value is the player's defensive capability score and the second (or complex) number is the offensive capability score. Between 1987 and 1989, the standard changed to place a colon or slash between the defensive and offensive capability score, the of ...
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Association Football
Association football, more commonly known as football or soccer, is a team sport played between two teams of 11 Football player, players who almost exclusively use their feet to propel a Ball (association football), ball around a rectangular field called a Football pitch, pitch. The objective of the game is to Scoring in association football, score more goals than the opposing team by moving the ball beyond the goal line into a rectangular-framed Goal (sport), goal defended by the opposing team. Traditionally, the game has been played over two 45-minute halves, for a total match time of 90 minutes. With an estimated 250 million players active in over 200 countries and territories, it is the world's most popular sport. Association football is played in accordance with the Laws of the Game (association football), Laws of the Game, a set of rules that has been in effect since 1863 and maintained by the International Football Association Board, IFAB since 1886. The game is pla ...
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Amateur Sports
Amateur sports are sports in which participants engage largely or entirely without remuneration. The distinction is made between amateur sporting participants and professional sports, professional sporting participants, who are paid for the time they spend competing and training. In the majority of sports which feature professional players, the professionals will participate at a higher standard of play than amateur competitors, as they can train full-time without the stress of having another job. The majority of worldwide sporting participants are amateurs. Sporting amateurism was a zealously guarded ideal in the 19th century, especially among the upper classes, but faced steady erosion throughout the 20th century with the continuing growth of pro sports and monetisation of amateur and collegiate sports, and is now strictly held as an ideal by fewer and fewer organisations governing sports, even as they maintain the word "amateur" in their titles. Background Modern organized spo ...
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Complex Number
In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted , called the imaginary unit and satisfying the equation i^= -1; every complex number can be expressed in the form a + bi, where and are real numbers. Because no real number satisfies the above equation, was called an imaginary number by René Descartes. For the complex number is called the , and is called the . The set of complex numbers is denoted by either of the symbols \mathbb C or . Despite the historical nomenclature, "imaginary" complex numbers have a mathematical existence as firm as that of the real numbers, and they are fundamental tools in the scientific description of the natural world. Complex numbers allow solutions to all polynomial equations, even those that have no solutions in real numbers. More precisely, the fundamental theorem of algebra asserts that every non-constant polynomial equation with real or complex coefficie ...
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