Search results
Results from the WOW.Com Content Network
The set of all half-integers is often denoted + = . The integers and half-integers together form a group under the addition operation, which may be denoted [2] . However, these numbers do not form a ring because the product of two half-integers is not a half-integer; e.g. = . [3] The smallest ring containing them is [], the ring of dyadic rationals.
Parsecs are used in astronomy to measure interstellar distances. A parsec is approximately 3.26 light-years or about 3.086×10 16 m (1.917×10 13 mi). Combining it with the "atto-" prefix (×10 −18) yields attoparsec (apc), a conveniently human-scaled unit of about 3.086 centimetres (1.215 in) that is used only humorously.
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 .
Calculus, mathematical analysis, statistics, physics. In mathematics, the gamma function (represented by Γ, the capital letter gamma from the Greek alphabet) is one commonly used extension of the factorial function to complex numbers. The gamma function is defined for all complex numbers except the non-positive integers.
Trachtenberg system. The Trachtenberg system is a system of rapid mental calculation. The system consists of a number of readily memorized operations that allow one to perform arithmetic computations very quickly. It was developed by the Russian engineer Jakow Trachtenberg in order to keep his mind occupied while being in a Nazi concentration camp.
Now suppose that for some odd number n, applying this operation k times yields the number 1 (that is, f k (n) = 1). Then in binary, the number n can be written as the concatenation of strings w k w k−1... w 1 where each w h is a finite and contiguous extract from the representation of 1 / 3 h . [23]
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 ...
Mathematics. One half is a rational number that lies midway between nil and unity (which are the elementary additive and multiplicative identities) as the quotient of the first two non-zero integers, . It has two different decimal representations in base ten, the familiar and the recurring , with a similar pair of expansions in any even base ...