Search results
Results From The WOW.Com Content Network
In arithmetic and algebra, the fifth power or sursolid[ 1] of a number n is the result of multiplying five instances of n together: n5 = n × n × n × n × n. Fifth powers are also formed by multiplying a number by its fourth power, or the square of a number by its cube . The sequence of fifth powers of integers is:
e. In mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power. Exponentiation is written as bn, where b is the base and n is the power; this is pronounced as " b (raised) to the (power of) n ". [ 1]
A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent . Powers of two with non-negative exponents are integers: 20 = 1, 21 = 2, and 2n is two multiplied by itself n times. [ 1][ 2] The first ten powers of 2 for non-negative values of n are:
The first Pythagorean triple. Five is the third-smallest prime number, [1] equal to the sum of the only consecutive positive integers to also be prime numbers (2 + 3).In integer sequences, five is also the second Fermat prime, and the third Mersenne prime exponent, as well as the fourth or fifth Fibonacci number; [2] 5 is the first congruent number, as well as the length of the hypotenuse of ...
Tetration is also defined recursively as. allowing for attempts to extend tetration to non-natural numbers such as real, complex, and ordinal numbers . The two inverses of tetration are called super-root and super-logarithm, analogous to the nth root and the logarithmic functions.
In number theory, Euler's conjecture is a disproved conjecture related to Fermat's Last Theorem. It was proposed by Leonhard Euler in 1769. It states that for all integers n and k greater than 1, if the sum of n many k th powers of positive integers is itself a k th power, then n is greater than or equal to k : The conjecture represents an ...
The mathematics that developed in Japan during the Edo period (1603-1887) is independent of Western mathematics; To this period belongs the mathematician Seki Takakazu, of great influence, for example, in the development of wasan (traditional Japanese mathematics), and whose discoveries (in areas such as integral calculus), are almost ...
In mathematics, the power set (or powerset) of a set S is the set of all subsets of S, including the empty set and S itself. [ 1] In axiomatic set theory (as developed, for example, in the ZFC axioms), the existence of the power set of any set is postulated by the axiom of power set. [ 2] The powerset of S is variously denoted as P(S), 𝒫 (S ...