Examples of using Polynomials in English and their translations into Spanish
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Peter Borwein used approximations involving Chebyshev polynomials to produce a method for efficient evaluation of the eta function.
The properties of Hurwitz polynomials are: All the poles
The Chebyshev polynomials Tn or Un are polynomials of degree n
Multivariate cryptography: Also asymmetric and based on polynomials with multiple variables in a finite field.
Determining the roots of polynomials, or"solving algebraic equations", is among the oldest problems in mathematics.
the denominator is a weighted sum of Bernstein polynomials.
Furthermore, the distribution of eigenvalues of random matrices in several ensembles is reduced to computations involving orthogonal polynomials see for example Deift 1999.
gave the rules for arithmetic operations to manipulate polynomials.
In mathematics, Brenke polynomials are special cases of generalized Appell polynomials, and Brenke-Chihara polynomials are the Brenke polynomials that are also orthogonal polynomials. .
the polynomials can be determined exactly and Sturm's theorem can be used to determine the number of real roots, while the roots
systems of linear equations, polynomials, and sets, lists,
One can ask for all polynomials in A, B, and C that are unchanged by the action of SL2; these are called the invariants of binary quadratic forms and turn out to be the polynomials in the discriminant.
which include the general difference polynomials, such as the Newton polynomials.
Multipole expansion Multipole moments Solid harmonics Axial multipole moments Cylindrical multipole moments Spherical multipole moments Laplace expansion Legendre polynomials Quadrupole ion trap Quadrupole mass analyzer Multipolar exchange interaction Star quad cable Magnetic lens Weisstein, Eric.
Note that it is only"possible" that high order polynomials will be lumpy;
The remaining n elementary symmetric polynomials are building blocks for all symmetric polynomials in these variables:
are a sequence of orthogonal polynomials which are related to de Moivre's formula
resulting from dividing two polynomials, P1(X) and P2X.
less than q1/4 must be a composition of Dickson polynomials and linear polynomials.
azimuthal parts of Zernike polynomials, and their rotational symmetries.