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: n 5 = 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 .
Graphs of y = b x for various bases b: base 10, base e, base 2, base 1 / 2 . Each curve passes through the point (0, 1) because any nonzero number raised to the power of 0 is 1. At x = 1, the value of y equals the base because any number raised to the power of 1 is the number itself.
Two to the power of n, written as 2 n, is the number of values in which the bits in a binary word of length n can be set, where each bit is either of two values. A word, interpreted as representing an integer in a range starting at zero, referred to as an "unsigned integer", can represent values from 0 (000...000 2) to 2 n − 1 (111...111 2) inclusively.
Bronshtein and Semendyayev is a comprehensive handbook of fundamental working knowledge of mathematics and table of formulas based on the Russian book Справочник по математике для инженеров и учащихся втузов (Spravochnik po matematike dlya inzhenerov i uchashchikhsya vtuzov, literally: "Handbook of mathematics for engineers and students of ...
Every prime power (except powers of 2 greater than 4) has a primitive root; thus the multiplicative group of integers modulo p n (that is, the group of units of the ring Z/p n Z) is cyclic. [ 1 ] The number of elements of a finite field is always a prime power and conversely, every prime power occurs as the number of elements in some finite ...
In mathematics and statistics, sums of powers occur in a number of contexts: . Sums of squares arise in many contexts. For example, in geometry, the Pythagorean theorem involves the sum of two squares; in number theory, there are Legendre's three-square theorem and Jacobi's four-square theorem; and in statistics, the analysis of variance involves summing the squares of quantities.
In mathematics, a trinomial expansion is the expansion of a power of a sum of three terms into monomials. The expansion is given by The expansion is given by ( a + b + c ) n = ∑ i , j , k i + j + k = n ( n i , j , k ) a i b j c k , {\displaystyle (a+b+c)^{n}=\sum _{{i,j,k} \atop {i+j+k=n}}{n \choose i,j,k}\,a^{i}\,b^{\;\!j}\;\!c^{k},}
Fifth power may refer to: Fifth power (algebra), the result of multiplying five instances of a number together; Fifth power (politics), a political term; The 5th Power, a 1978 album by Lester Bowie; The Fifth Power, a 1962 film by Alberto Pieralisi