number theory, the radical of a positive integer n is defined as the product of the distinct prime numbers dividing n. Each prime factor of n occurs exactly...

of an integer, in number theory, the product of the primes which divide an integer Radical of a Lie algebra, a concept in Lie theory Nilradical of a Lie...

This is a list of notable integer sequences with links to their entries in the On-Line Encyclopedia of Integer Sequences. OEIS core sequences Index to...

In mathematics, a square-free integer (or squarefree integer) is an integer which is divisible by no square number other than 1. That is, its prime factorization...

factors of m {\displaystyle m} , the largest square-free factor of m {\displaystyle m} (see Radical of an integer). In fact, this generalizes to an arbitrary...

conjecture, the notion of the radical of an integer must be introduced: for a positive integer n {\displaystyle n} , the radical of n {\displaystyle n} ...

rover Radical of an integer, rad (x), in number theory Rapid application development, a software development approach Reactive attachment disorder, an emotional...

Jacobson radical of any field, any von Neumann regular ring and any left or right primitive ring is {0}. The Jacobson radical of the integers is {0}. If...

mathematics, an integer matrix is a matrix whose entries are all integers. Examples include binary matrices, the zero matrix, the matrix of ones, the identity...

An integer triangle or integral triangle is a triangle all of whose side lengths are integers. A rational triangle is one whose side lengths are rational...

factors}}}=x.} The positive integer n is called the index or degree, and the number x of which the root is taken is the radicand. A root of degree 2 is called...

exponentiation, denoted bn, is an operation involving two numbers: the base, b, and the exponent or power, n. When n is a positive integer, exponentiation corresponds...

texts) states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value of n greater than 2. The cases n = 1 and...

An algebraic number is a number that is a root of a non-zero polynomial in one variable with integer (or, equivalently, rational) coefficients. For example...

Apotome (mathematics) Cube root Functional square root Integer square root Nested radical Nth root Root of unity Solving quadratic equations with continued...

numeral system, which allows for the representation of any non-negative integer using a combination of ten fundamental numeric symbols, called digits. In...

root of unity, occasionally called a de Moivre number, is any complex number that yields 1 when raised to some positive integer power n. Roots of unity...

\operatorname {rad} (m)} denotes the radical of an integer m {\displaystyle m} , defined as the product of the distinct prime factors of m {\displaystyle m} . Second...

nonnegative integer powers, and has a finite number of terms. An example of a polynomial of a single indeterminate x is x2 − 4x + 7. An example with...

A solution in radicals or algebraic solution is an expression of a solution of a polynomial equation that is algebraic, that is, relies only on addition...

specifically in ring theory, an ideal of a ring is a special subset of its elements. Ideals generalize certain subsets of the integers, such as the even numbers...

positive integer k and odd integer n, meaning that an even fourth power can be represented as an odd fourth power multiplied by a power of 16. Quoted...

⁠1/2⁠ and ⁠17/3⁠) consists of an integer numerator, displayed above a line (or before a slash like 1⁄2), and a non-zero integer denominator, displayed below...

same kind. For example, 3 × 5 is an integer factorization of 15, and (x − 2)(x + 2) is a polynomial factorization of x2 − 4. Factorization is not usually...

  (radical symbol) 1.  Denotes square root and is read as the square root of. For example, 3 + 2 {\displaystyle {\sqrt {3+2}}} . 2.  With an integer greater...

an absolute value (or magnitude) of 1 and an argument (or angle) of π 2 {\displaystyle {\tfrac {\pi }{2}}} radians. (Adding any integer multiple of 2π...

computing, fixed-point is a method of representing fractional (non-integer) numbers by storing a fixed number of digits of their fractional part. Dollar amounts...

polynomial, for any positive integer n, is the unique irreducible polynomial with integer coefficients that is a divisor of x n − 1 {\displaystyle x^{n}-1}...

permutation group of their roots—an equation is by definition solvable by radicals if its roots may be expressed by a formula involving only integers, nth roots...

branch of mathematics, a radical of a ring is an ideal of "not-good"[definition needed] elements of the ring. The first example of a radical was the...