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the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). All of the roots of the...

{b}{3a}}.} The graph of a cubic function is a cubic curve, though many cubic curves are not graphs of functions. Although cubic functions depend on four parameters...

wants a factorization with rational coefficients. Such a factorization involves cyclotomic polynomials. To express rational factorizations of sums and...

mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem and prime factorization theorem, states that every integer...

In mathematics and computer algebra, factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field...

theory. Cubic polynomial splines have also been applied to mortality analysis and mortality forecasting. Cubic splines can be extended to functions of two...

functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions...

the population mean. Fisher's factorization theorem or factorization criterion provides a convenient characterization of a sufficient statistic. If the...

a cubic function. Sometimes the term biquadratic is used instead of quartic, but, usually, biquadratic function refers to a quadratic function of a square...

unique factorization. In order to extend unique factorization to a larger class of rings, the notion of a number can be replaced with that of an ideal...

to test irreducibility and to compute the factorization into irreducible polynomials (see Factorization of polynomials). These algorithms are not practicable...

can be evaluated in terms of the gamma function as well. Due to the Weierstrass factorization theorem, analytic functions can be written as infinite...

{\displaystyle n=p_{1}^{k_{1}}p_{2}^{k_{2}}\cdots p_{r}^{k_{r}}} is the prime factorization of n {\displaystyle n} (that is, p 1 , p 2 , … , p r {\displaystyle p_{1}...

mathematics, the inverse hyperbolic functions are inverses of the hyperbolic functions, analogous to the inverse circular functions. There are six in common use:...

component of a topological space Factorization of polynomials over finite fields Quartic function § Reducible quartics Cubic function § Factorization Casus...

Mathematics portal Canonical representation of a positive integer Integer factorization Sieve of Eratosthenes Table of prime factors Pettofrezzo & Byrkit 1970...

Cubic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x3 ≡ p (mod q)...

Monomial Polynomial long division Synthetic division Polynomial factorization Rational function Partial fraction Partial fraction decomposition over R Vieta's...

vispa.com/numth/factorization/cunningham/2-.txt Archived 2014-11-05 at the Wayback Machine http://www.leyland.vispa.com/numth/factorization/cunningham/2+...

prime-counting functions. This article provides links to functions of both classes. An example of an arithmetic function is the divisor function whose value...