secondary polynomials { q n ( x ) } {\displaystyle \{q_{n}(x)\}} associated with a sequence { p n ( x ) } {\displaystyle \{p_{n}(x)\}} of polynomials...

polynomials Lucas polynomials Spread polynomials Touchard polynomials Rook polynomials Polynomial sequences of binomial type Orthogonal polynomials Secondary...

secondary polynomials into an orthogonal system. (For more details see the article secondary measure.) Orthogonal polynomials Secondary polynomials Secondary...

In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal to...

In mathematics, the Zernike polynomials are a sequence of polynomials that are orthogonal on the unit disk. Named after optical physicist Frits Zernike...

measure of positive density μ, turning the secondary polynomials associated with the orthogonal polynomials for ρ into an orthogonal system. Under certain assumptions...

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

orthogonal polynomials are the most widely used orthogonal polynomials: the Hermite polynomials, Laguerre polynomials, Jacobi polynomials (including as...

In mathematics, Macdonald polynomials Pλ(x; t,q) are a family of orthogonal symmetric polynomials in several variables, introduced by Macdonald in 1987...

aberrations in terms of these polynomials includes the fact that the polynomials are independent of one another. For each polynomial the mean value of the aberration...

above example). Polynomials of degree one are called linear polynomials. Linear algebra studies systems of linear polynomials. A polynomial is said to be...

This method can be generalized to give the roots of cubic polynomials and quartic polynomials, and leads to Galois theory, which allows one to understand...

the Mahler polynomials gn(x) are polynomials introduced by Mahler in his work on the zeros of the incomplete gamma function. Mahler polynomials are given...

functions are the normal modes of an atmosphere at rest. Secondary circulation Legendre polynomials Primitive equations Cartwright, David Edgar (2000). Tides:...

time modulo some commonly used polynomials, using the following symbols: For dense polynomials, such as the CRC-32 polynomial, computing the remainder a byte...

smallest Proth prime for k = 437 3,697,909,056 = number of primitive polynomials of degree 37 over GF(2) 3,707,398,432 = 825 3,715,891,200 = double factorial...

The Bellman–Ford algorithm is an algorithm that computes shortest paths from a single source vertex to all of the other vertices in a weighted digraph...

of a polynomial with degree 5 or more. (Generality matters because any polynomial with degree n {\displaystyle n} is the characteristic polynomial of some...

quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra. Hermite polynomials, Hermite interpolation, Hermite normal form...

reactor Specialized Mobile Radio Square matricial representation of polynomials Steam methane reforming, for producing hydrogen Surface movement radar...

equation for this potential can be described analytically with Gegenbauer polynomials. As v {\displaystyle v} passes through each of these values, a manifold...

of the first to introduce and study the symmetric polynomials that are now known as Schur polynomials, giving the so-called bialternant formula for these...

(compared to Clausius-Clapeyron and the Goff-Gratch) but use nested polynomials for very efficient computation. However, there are more recent reviews...

moreover it is transcendental, meaning that it is not a root of any non-zero polynomial with rational coefficients. To 30 decimal places, the value of e is: 2...

which has spurred work in algorithms over mathematical objects such as polynomials. Computer algebra systems may be divided into two classes: specialized...

doctoral dissertation on number theory, titled Arithmetic Questions of Polynomials in Algebraic Number Fields, at Moscow State University. Assad dedicated...

a class of cyclic error-correcting codes that are constructed using polynomials over a finite field (also called a Galois field). BCH codes were invented...

characters including a full set of Arabic numerals. These characters allow any polynomial, chemical and certain other equations to be represented in plain text...

{Z} _{2}} . We will represent the data elements D {\displaystyle D} as polynomials D = d k − 1 x k − 1 + d k − 2 x k − 2 + . . . + d 1 x + d 0 {\displaystyle...

the integers the Hopf surface is called primary, otherwise it is called secondary. (Some authors use the term "Hopf surface" to mean "primary Hopf surface"...