generic polynomial refers usually to a polynomial whose coefficients are indeterminates. For example, if a, b, and c are indeterminates, the generic polynomial...
4 KB (560 words) - 15:00, 14 February 2024
point that contains all other points Generic polynomial, a polynomial whose coefficients are indeterminates Generic property, a formal definition of a property...
2 KB (351 words) - 22:04, 23 November 2023
Resultant (redirect from Polynomial resultant)
resultant of two polynomials is a polynomial expression of their coefficients that is equal to zero if and only if the polynomials have a common root...
45 KB (7,901 words) - 17:00, 3 August 2024
The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions, notated as T n ( x ) {\displaystyle T_{n}(x)} and...
61 KB (11,472 words) - 09:09, 5 September 2024
statements, "A generic polynomial does not have a root at zero," or "A generic square matrix is invertible." As another example, a generic property of a...
12 KB (1,640 words) - 14:44, 28 January 2023
Fundamental theorem of algebra (category Theorems about polynomials)
non-constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since...
50 KB (7,606 words) - 15:45, 20 September 2024
Abel–Ruffini theorem (category Theorems about polynomials)
impossibility theorem) states that there is no solution in radicals to general polynomial equations of degree five or higher with arbitrary coefficients. Here,...
28 KB (4,086 words) - 18:34, 19 August 2024
mathematics, a polynomial lemniscate or polynomial level curve is a plane algebraic curve of degree 2n, constructed from a polynomial p with complex coefficients...
4 KB (482 words) - 12:15, 8 November 2023
doi:10.2478/jee-2018-0059, S2CID 115440420 "Fast CRC Computation for Generic Polynomials Using PCLMULQDQ Instruction" (PDF). www.intel.com. 2009. Retrieved...
24 KB (2,779 words) - 07:37, 25 June 2024
Discriminant (redirect from Discriminant of a polynomial)
precisely, it is a polynomial function of the coefficients of the original polynomial. The discriminant is widely used in polynomial factoring, number...
41 KB (6,702 words) - 17:03, 25 September 2024