• 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...
    4 KB (559 words) - 05:10, 13 December 2024
  • 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...
    4 KB (561 words) - 15:03, 22 May 2025
  • Thumbnail for Square-free integer
    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...
    24 KB (3,689 words) - 14:27, 6 May 2025
  • 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...
    27 KB (27 words) - 18:11, 30 May 2025
  • Thumbnail for Abc conjecture
    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} ...
    42 KB (4,598 words) - 15:58, 13 June 2025
  • 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...
    12 KB (2,131 words) - 09:53, 19 November 2024
  • rover Radical of an integer, rad (x), in number theory Rapid application development, a software development approach Reactive attachment disorder, an emotional...
    4 KB (495 words) - 11:28, 6 April 2025
  • \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...
    5 KB (853 words) - 12:17, 9 June 2025
  • 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...
    3 KB (411 words) - 07:44, 17 June 2025
  • Thumbnail for Jacobson radical
    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...
    26 KB (2,891 words) - 21:16, 3 June 2025
  • 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...
    32 KB (4,773 words) - 18:22, 4 April 2025
  • Thumbnail for Integer triangle
    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...
    40 KB (7,271 words) - 07:08, 9 April 2025
  • Thumbnail for Fermat's Last Theorem
    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...
    104 KB (11,741 words) - 21:42, 11 June 2025
  • Thumbnail for Root of unity
    a root of unity is any complex number that yields 1 when raised to some positive integer power n. Roots of unity are used in many branches of mathematics...
    41 KB (5,944 words) - 11:50, 16 May 2025
  • Thumbnail for Number
    Number (redirect from History of numbers)
    numeral system, which allows for the representation of any non-negative integer using a combination of ten fundamental numeric symbols, called digits. In...
    66 KB (8,359 words) - 15:41, 10 June 2025
  • Thumbnail for Exponentiation
    Exponentiation (redirect from Integer power)
    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...
    105 KB (13,693 words) - 08:02, 16 June 2025
  • Thumbnail for Square root
    Apotome (mathematics) Cube root Functional square root Integer square root Nested radical Nth root Root of unity Solving quadratic equations with continued...
    48 KB (6,213 words) - 21:46, 11 June 2025
  • Thumbnail for Algebraic number
    In mathematics, an algebraic number is a number that is a root of a non-zero polynomial in one variable with integer (or, equivalently, rational) coefficients...
    17 KB (2,302 words) - 10:39, 16 June 2025
  • 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...
    60 KB (8,173 words) - 14:55, 27 May 2025
  • 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...
    38 KB (6,231 words) - 11:14, 12 June 2025
  • 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...
    13 KB (1,742 words) - 14:11, 1 April 2025
  • 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...
    3 KB (333 words) - 02:57, 3 December 2024
  • 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...
    44 KB (5,904 words) - 21:06, 5 May 2025
  • Thumbnail for Fraction
    ⁠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...
    67 KB (9,636 words) - 01:44, 23 April 2025
  • Thumbnail for Factorization
    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...
    42 KB (7,863 words) - 13:39, 5 June 2025
  • Fourth power (category Integer sequences)
    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...
    4 KB (459 words) - 23:13, 16 March 2025
  • Thumbnail for Galois theory
    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...
    32 KB (4,211 words) - 00:50, 27 April 2025
  • Thumbnail for Semiprime ring
    ideals are also called radical ideals and semiprime rings are the same as reduced rings. For example, in the ring of integers, the semiprime ideals are...
    6 KB (892 words) - 04:21, 16 October 2023
  • In mathematics, a sum of radicals is defined as a finite linear combination of nth roots: ∑ i = 1 n k i x i r i , {\displaystyle \sum...
    2 KB (294 words) - 14:16, 1 December 2024
  •   (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...
    75 KB (9,929 words) - 21:59, 28 May 2025