are annihilated by a unitary polynomial $ f \in k [ t] $.
5 KB (790 words) - 22:16, 5 June 2020
...For local direct results for simultaneous approximation of functions with polynomial growth, see [[#References|[a5]]].
5 KB (702 words) - 07:38, 26 March 2023
A polynomial $ \phi ( \ldots ,\ a _ {i _{1} \dots i _{n}} , \ldots ) $
by carrying out this change of variables in an arbitrary polynomial $ \phi ( x _{1} \dots x _{n} ) $
22 KB (3,406 words) - 07:08, 6 May 2022
...(cf. also [[Galois theory|Galois theory]]). That is, $\theta$ satisfies a polynomial equation of the form $P ( x ) = x ^ { n } + a _ { 1 } x ^ { n - 1 } + \dots
5 KB (723 words) - 19:03, 23 January 2024
...lapping shuffle algebra $\mathrm{Osh}(\mathbf{Z})$ is the free commutative polynomial algebra with as generators the elementary concatenation powers of elementar
4 KB (709 words) - 13:46, 20 March 2023
as an analog of the classical fact that harmonic functions with a polynomial growth must be polynomials.
4 KB (579 words) - 05:52, 17 July 2024
periodic polynomial splines of order $ r $
5 KB (791 words) - 10:58, 29 May 2020
of a Taylor series are called [[Taylor polynomial]] of degree $k$ and the "remainder" $f(x)- P_k (x)$ can be estimated in sev
4 KB (710 words) - 06:13, 13 June 2022
is a polynomial of degree $ \leq j ( k - 1) $.
is a polynomial of degree $ k - 2 $.
12 KB (1,732 words) - 17:50, 5 May 2024
subrings), polynomial algebras, matrix algebras over fields, and
|valign="top"|{{Ref|Pr}}||valign="top"| C. Procesi, "Rings with polynomial identities", M. Dekker (1973) {{MR|0366968}} {{ZBL|0262.16018}}
11 KB (1,726 words) - 20:09, 15 December 2020
be a system of polynomial equations having integral coefficients. The ring of all algebraic integers,
...here exist a decision procedure for finding solutions x1…xn of a system of polynomial equations in Z?" could be answered affirmatively.
12 KB (1,775 words) - 11:58, 4 April 2020
...xi _ { n + 1}$ of the Gauss–Kronrod formula are the zeros of the Stieltjes polynomial $E _ { n + 1}$, which satisfies
5 KB (726 words) - 16:57, 1 July 2020
...ubschemes or to sheaves with one and the same [[Hilbert polynomial|Hilbert polynomial]] [[#References|[4]]]. A special case is the fact that algebraic subvarieti
11 KB (1,550 words) - 16:04, 18 July 2024
by the polynomial algebra in the quantum fields of a representation.
is a polynomial in the $ h $
22 KB (3,198 words) - 08:08, 6 June 2020
polynomial on the fibres) corresponding to it is a first integral of the geodesic flow
5 KB (766 words) - 22:14, 5 June 2020
parametrized by a connected base, have the same [[Hilbert polynomial|Hilbert polynomial]] (respectively, virtual [[Arithmetic genus|arithmetic genus]]).
12 KB (1,877 words) - 17:38, 16 July 2024
...ament selection. Selection alone can lead the population to convergence in polynomial time.
6 KB (810 words) - 15:55, 10 July 2014
..._ { 3 } ) \in \mathbf{R} ^ { 3 }$. The zonal harmonics $H _ { n }$ are the polynomial solutions of the [[Laplace equation|Laplace equation]]
7 KB (966 words) - 16:11, 11 February 2024
The node always has a polynomial Poincare-Dulac formal normal form, see [[Local normal forms for dynamical s
5 KB (753 words) - 09:03, 12 December 2013
A parametric polynomial surface in $ \mathbf R ^ {3} $
6 KB (872 words) - 06:29, 30 May 2020