...ly if $n$ is a prime number (cf. also [[Irreducible polynomial|Irreducible polynomial]]). They also found that $x _ { j } = 2 i \operatorname { cos } ( j \pi / n
14 KB (2,016 words) - 07:46, 27 January 2024
...power size $p^N$ and introduced cyclic convolution algorithms based on the polynomial version of the [[Chinese remainder theorem|Chinese remainder theorem]] to c
4 KB (535 words) - 22:23, 25 April 2012
is said to be a universal chain ring if any polynomial ring $ A [ T _ {1} \dots T _ {k} ] $
4 KB (643 words) - 19:38, 5 June 2020
which are polynomial in the fibres. Since a coherent $ \mathcal D _ {X} $-module $ M $
==The Bernstein–Sato polynomial.==
24 KB (3,511 words) - 07:03, 10 May 2022
...$t_1$ is the number of changes in sign in the series of derivatives of the polynomial $f(x)$ at the point $a$, i.e. in the series
4 KB (552 words) - 13:01, 24 April 2012
a polynomial $ P (z) $
7 KB (1,072 words) - 10:23, 2 June 2020
it is bounded above by a polynomial in $ n $
is bounded by a polynomial.)
11 KB (1,646 words) - 12:43, 19 February 2021
is a polynomial in $ z $
a polynomial of the fifth or sixth degree without multiple roots. Here $ g = 2 $
10 KB (1,594 words) - 06:20, 17 April 2024
A Laurent polynomial over $ k $
8 KB (1,203 words) - 10:36, 20 January 2024
is a polynomial in the variables $ ( z _ {1}, \dots, z _ {n} ) $
is a harmonic polynomial in $ ( x _ {1}, \dots, x _ {n} ) $
8 KB (1,240 words) - 04:55, 24 February 2022
...ions are of the form $\operatorname { log } | P |$ with $P$ a [[Polynomial|polynomial]] on ${\bf R} ^ { n }$.
9 KB (1,406 words) - 19:56, 4 February 2024
be an irreducible polynomial over the field $ \mathbf Q $
for which the polynomial $ f(t _{1} ^{0} \dots t _{k} ^{0} , \ x _{1} \dots x _{n} ) $
18 KB (2,720 words) - 19:17, 19 December 2019
is the algebra of polynomial functions on $ \mathop{\rm SL}\nolimits (n) $ .
is the Gauss polynomial, i.e.,$$
18 KB (2,674 words) - 19:09, 16 December 2019
is an irreducible polynomial in $ y, x _ {1}, \dots, x _ {n} $
The polynomial $ F ( y , x _ {1} \dots x _ {n} ) $
20 KB (3,036 words) - 07:17, 15 June 2022
...olynomial in $x$ of degree $n$. This polynomial is known as the immanantal polynomial of $A$. The immanantal polynomials of graph Laplacians have been studied in
...gn="top">[a30]</td> <td valign="top"> R. Merris, "The second immanantal polynomial and the centroid of a graph" ''SIAM J. Algebraic Discr. Meth.'' , '''7'''
19 KB (2,837 words) - 05:34, 15 February 2024
...lemma guarantees the existence of an object, that object can be found by a polynomial-time algorithm. Proofs, applications and algorithmic implementation are exp
4 KB (586 words) - 19:47, 18 December 2014
is the Legendre polynomial (cf. [[Legendre polynomials|Legendre polynomials]]) of order $ n $.
8 KB (1,082 words) - 17:09, 17 January 2024
are arbitrary complex numbers) a generalized polynomial $ P _ {0} (z) $
and each polynomial $ P (z) $
18 KB (2,637 words) - 07:20, 26 March 2023
associating a polynomial $ U _ {n} ( f , t ) \in T _ {n} $
there is a polynomial $ p _ {n} (t) \in A _ {n-1} $
12 KB (1,798 words) - 03:52, 25 February 2022
1) Let $p ( x )$ be a [[Polynomial|polynomial]] over the real numbers having exactly one real root $\alpha$. Then the equ
9 KB (1,426 words) - 19:09, 18 July 2020