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Multilinear polynomial
In algebra, a multilinear polynomial is a polynomial that is linear in each of its variables. In other words, no variable occurs to a power of 2 or…
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Related topics
Related topics
6 relations
Arithmetic circuit complexity
Degree of a polynomial
Monomial
Polynomial
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
All stabilizing PID controllers for interval systems and systems with affine parametric uncertainties
D. Mihailescu-Stoica
,
Frank Schrödel
,
J. Adamy
Asian Control Conference
2017
Corpus ID: 3441093
Robust PID controller synthesis for plants with unknown or slowly varying parameters is still an open topic. A novel method is…
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2015
2015
Deterministic polynomial identity tests for multilinear bounded-read formulae
Matthew W. Anderson
,
D. Melkebeek
,
Ilya Volkovich
Computational Complexity
2015
Corpus ID: 5871234
We present a polynomial-time deterministic algorithm for testing whether constant-read multilinear arithmetic formulae are…
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2015
2015
Engineering Motif Search for Large Graphs
Andreas Björklund
,
P. Kaski
,
Lukasz Kowalik
,
Juho Lauri
Workshop on Algorithm Engineering and…
2015
Corpus ID: 640164
In the graph motif problem, we are given as input a vertex-colored graph H (the host graph) and a multiset of colors M (the motif…
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2013
2013
The images of multilinear polynomials evaluated on $3\times 3$ matrices
A. Kanel-Belov
,
S. Malev
,
L. Rowen
2013
Corpus ID: 119295149
Let $p$ be a multilinear polynomial in several noncommuting variables, with coefficients in a algebraically closed field $K$ of…
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2007
2007
Black Box Polynomial Identity Testing of Depth-3 Arithmetic Circuits with Bounded Top Fan-in
Zohar S. Karnin
,
Amir Shpilka
Electron. Colloquium Comput. Complex.
2007
Corpus ID: 452828
In this paper we consider the problem of determining whether an unknown arithmetic circuit, for which we have oracle access…
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2004
2004
Posner's second theorem, multilinear polynomials and vanishing derivations
V. Filippis
,
O. M. Vincenzo
Journal of the Australian Mathematical Society
2004
Corpus ID: 56299741
Abstract Let K be a commutative ring with unity, R a prime K-algebra of characteristic different from 2, d and δ non-zero…
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1997
1997
A Lower Bound for a Constrained Quadratic 0-1 Minimization Problem
A. Billionnet
,
Alain Faye
Discrete Applied Mathematics
1997
Corpus ID: 28774753
1993
1993
Derivations with invertible values on a multilinear polynomial
Tsiu-Kwen Lee
1993
Corpus ID: 120205723
Let R be a semiprime K-algebra with unity, d a nonzero derivation of R, and f(x., xt) a monic multilinear polynomial over K such…
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1992
1992
The Equivalence of Two Problems on the Cube
C. Gotsman
,
N. Linial
Journal of combinatorial theory. Series A
1992
Corpus ID: 34856709
1973
1973
Multilinear identities of the matrix ring
U. Leron
1973
Corpus ID: 119791383
Let V be a vectot space over a field F of zero characteristic, which is acted upon by the symmetric group. Systems of generators…
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