Results 251 to 260 of about 693,136 (285)

Quasi-polynomial mappings with constant Jacobian

Izvestiya: Mathematics, 2021
Abstract The famous Jacobian conjecture (JC) remains open even for dimension . In this paper we study it by extending the class of polynomial mappings to quasi-
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On polynomial controllability with polynomial state for linear constant systems

IEEE Transactions on Automatic Control, 1986
Summary: We prove that for linear, reachable, time independent dynamic systems, control at any given time may be achieved with the additional requirements that both the input and the state be polynomial functions of time. The proof is constructive and elementary, and yields a bound on the degree.
Ailon, A., Baratchart, L., Grimm, J., Langholz, G.   +3 more
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Monotone separations for constant degree polynomials

Information Processing Letters, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hrubeš, Pavel, Yehudayoff, Amir
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Local Lipschitz constants and Kolushov polynomials

Acta Mathematica Hungarica, 1991
Let \(C[a,b]\) be the space of continuous real-valued functions on \([a,b]\) with uniform norm \(\|\;\|\). For \(f\) in \(C[a,b]\), let \(B_ n(f)\) denote the best uniform approximate from the set of algebraic polynomials of degree \(n\) or less to \(f\). \(E_ n(f)\) is the number of the extremal points of \(f-B_ n(f)\).
Bartelt, M. W., Swetits, J. J.
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Constant Regression Polynomials and the Wishart Distribution

SIAM Journal on Mathematical Analysis, 1989
Summary: Results are obtained for the problems of constructing and characterizing scalar-valued polynomial statistics having constant regression on the mean of a random sample of Wishart matrices. The construction procedure introduced by \textit{B. Heller} [J. Multivariate Anal.
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Polynomial constants of motion in flat space

Journal of Mathematical Physics, 1984
Some general results on commuting integrals for a Hamiltonian system are given. The question of the existence of integrals which are polynomial in the momenta is investigated and the results applied to a variety of mechanical systems.
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Asymptotic constants for multivariate Bernstein polynomials

Studia Scientiarum Mathematicarum Hungarica, 2003
We study the rate of convergence of multivariate Bernstein polynomials on the class of Hölder continuous functions. Using a proper probabilistic representation we are able to derive the asymptotic constant.
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COUNTING HIERARCHIES: POLYNOMIAL TIME AND CONSTANT DEPTH CIRCUITS

1993
\textit{Seinosuke Toda} [\(PP\) is \(\leq^ p_ T\)-hard for the polynomial time hierarchy, Proc. 30th IEEE Symp. on Foundations of Computer Science, 514-519 (1989)] proved that the polynomial hierarchy is contained in \(P^{PP}\) [To-89]. In this month's structural complexity column, we will briefly review Toda's result, and explore how it relates to ...
Allender, Eric W., Wagner, Klaus W.
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MOTION PLANNING BY PIECEWISE CONSTANT OR POLYNOMIAL INPUTS

IFAC Proceedings Volumes, 1992
Abstract In this paper we present an algorithmic solution of the “Exact Motion Planning Problem” for nilpotent systems, by piecewise constant or polynomial inputs. By using an identification process, we improve here the solution earlier given by Lafferiere and Sussmann, for systems without drift. So we obtain a much smaller number of pieces (in case
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Lebesgue constants in polynomial interpolation

2006
Summary: Lagrange interpolation is a classical method for approximating a continuous function by a polynomial that agrees with the function at a number of chosen points (the 'nodes'). However, the accuracy of the approximation is greatly influenced by the location of these nodes.
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