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A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or , where a and b are both integers. [ 9] As with other fractions, the denominator ( b) cannot be zero. Examples include 1 2 , − 8 5 , −8 5 , and 8 −5 .
In game theory, " guess 2 3 of the average " is a game that explores how a player’s strategic reasoning process takes into account the mental process of others in the game. [1] In this game, players simultaneously select a real number between 0 and 100, inclusive. The winner of the game is the player (s) who select a number closest to ...
The Pythagorean A ♭ (at the left) is at 792 cents, G ♯ (at the right) at 816 cents; the difference is the Pythagorean comma. Equal temperament by definition is such that A ♭ and G ♯ are at the same level. 1⁄4 -comma meantone produces the "just" major third (5:4, 386 cents, a syntonic comma lower than the Pythagorean one of 408 cents ...
The turn (symbol tr or pla) is a unit of plane angle measurement that is the angular measure subtended by a complete circle at its center. It is equal to 2 π radians, 360 degrees or 400 gradians. As an angular unit, one turn also corresponds to one cycle (symbol cyc or c) [ 1] or to one revolution (symbol rev or r ). [ 2]
The area below the red curve is the same in the intervals (−∞,Q 1), (Q 1,Q 2), (Q 2,Q 3), and (Q 3,+∞). In statistics and probability, quantiles are cut points dividing the range of a probability distribution into continuous intervals with equal probabilities, or dividing the observations in a sample in the same way. There is one fewer ...
It is known that ζ(3) is irrational (Apéry's theorem) and that infinitely many of the numbers ζ(2n + 1) : n ∈ , are irrational. [1] There are also results on the irrationality of values of the Riemann zeta function at the elements of certain subsets of the positive odd integers; for example, at least one of ζ (5), ζ (7), ζ (9), or ζ ...
236.588 mL. The cup is a cooking measure of volume, commonly associated with cooking and serving sizes. In the US, it is traditionally equal to one-half US pint (236.6 ml). Because actual drinking cups may differ greatly from the size of this unit, standard measuring cups may be used, with a metric cup being 250 millilitres .
The gamma function is an important special function in mathematics. Its particular values can be expressed in closed form for integer and half-integer arguments, but no simple expressions are known for the values at rational points in general. Other fractional arguments can be approximated through efficient infinite products, infinite series ...