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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.
Decimal: 1.618 033 988 749 894 ... The quadratic formula yields two solutions: ... The consistently small terms in its continued fraction explain why the approximants ...
The convergents of the continued fraction for φ are ratios of successive Fibonacci numbers: φ n = F n+1 / F n is the n-th convergent, and the (n + 1)-st convergent can be found from the recurrence relation φ n+1 = 1 + 1 / φ n. [31] The matrix formed from successive convergents of any continued fraction has a determinant of +1 or −1.
In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that ...
The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past.Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales.
ENIAC's registers performed decimal arithmetic, rather than binary arithmetic like the Z3, the ABC and Colossus. Like the Colossus, ENIAC required rewiring to reprogram until April 1948. [ 90 ] In June 1948, the Manchester Baby ran its first program and earned the distinction of first electronic stored-program computer .
A diving cylinder or diving gas cylinder is a gas cylinder used to store and transport high pressure gas used in diving operations.This may be breathing gas used with a scuba set, in which case the cylinder may also be referred to as a scuba cylinder, scuba tank or diving tank.