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The number π (/ p aɪ / ⓘ; spelled out as "pi") is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter.It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve.
The first convergents are: 1 / 1 , 3 / 2 , 7 / 5 , 17 / 12 , 41 / 29 , 99 / 70 , 239 / 169 , 577 / 408 and the convergent following p / q is p + 2q / p + q . The convergent p / q differs from by almost exactly 1 / 2 √ 2 q 2 , which follows from:
12-tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. 12 equal temperament (12-ET) [a] is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 (≈ 1.05946).
The duodecimal system, also known as base twelve or dozenal, is a positional numeral system using twelve as its base.In duodecimal, the number twelve is denoted "10", meaning 1 twelve and 0 units; in the decimal system, this number is instead written as "12" meaning 1 ten and 2 units, and the string "10" means ten.
A total of 145 teams from 51 of 52 UEFA member associations participated in the 2003–04 UEFA Cup (the exception being Azerbaijan which was suspended). The association ranking based on the UEFA country coefficients was used to determine the number of participating teams for each association: [1]
The 2000–01 UEFA Cup was the 30th edition of the UEFA Cup competition. Liverpool won the final with a golden goal in against Alavés for their third title in the competition. . It completed a cup treble for the club, as they also won the FA Cup and the League Cup that seas
The first legs were played on 2, 3 and 4 July, and the second legs were played on 9, 10 and 11 July 2013. Inter Turku lodged a protest after losing the second leg to Víkingur Gøta , [ 14 ] [ 15 ] and two match officials were later banned for life by UEFA for attempted match-fixing.