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For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4. The reciprocal function, the function f(x) that maps x to 1/x, is one of the simplest examples of a function which is its own inverse (an involution).
The reciprocal of five conventionally appears twice in the sum. The sum of the reciprocals of the Proth primes, of which there may be finitely many or infinitely many, is known to be finite, approximately 0.747392479. [2] The prime quadruplets are pairs of twin primes with only one odd number between them.
A prime p (where p ≠ 2, 5 when working in base 10) is called unique if there is no other prime q such that the period length of the decimal expansion of its reciprocal, 1/p, is equal to the period length of the reciprocal of q, 1/q. [8]
Reciprocal license, a type of software licenses also known as copyleft; Reciprocal link between two web pages; Reciprocal obligation, in law, a type of agreement between two individuals; Reciprocal Public License (RPL), a software license
Slices of approximately 1/8 of a pizza. A unit fraction is a positive fraction with one as its numerator, 1/ n.It is the multiplicative inverse (reciprocal) of the denominator of the fraction, which must be a positive natural number.
Gauss published the first and second proofs of the law of quadratic reciprocity on arts 125–146 and 262 of Disquisitiones Arithmeticae in 1801.. In number theory, the law of quadratic reciprocity is a theorem about modular arithmetic that gives conditions for the solvability of quadratic equations modulo prime numbers.
Every n in M x can be written as n = m 2 r with positive integers m and r, where r is square-free. Since only the k primes p 1, ..., p k can show up (with exponent 1) in the prime factorization of r, there are at most 2 k different possibilities for r. Furthermore, there are at most √ x possible values for m.
The multiplicative inverse (reciprocal) of the square root of two is a widely used constant, ... The first convergents are: 1 / 1 , 3 / 2 , 7 / 5 ...