Knot polynomial invariants in classical Abelian Chern-Simons field theory
, 2010 Kauffman knot polynomial invariants are discovered in classical abelian Chern-Simons field theory. A topological invariant $t^{I\left( \mathcal{L} \right) }$ is constructed for a link $\mathcal{L}$, where $I$ is the abelian Chern-Simons action and $t$ a ...
Arnol’d +22 more
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Grothendieck inequalities characterize converses to the polynomial method [PDF]
QuantumA surprising 'converse to the polynomial method' of Aaronson et al. (CCC'16) shows that any bounded quadratic polynomial can be computed exactly in expectation by a 1-query algorithm up to a universal multiplicative factor related to the famous ...
Jop Briët +2 more
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Polynomial Solutions of Equivariant Polynomial Abel Differential Equations
Advanced Nonlinear Studies, 2018 Let a(x){a(x)} be non-constant and let bj(x){b_{j}(x)}, for j=0,1,2,3{j=0,1,2,3}, be real or complex polynomials in the variable x. Then the real or complex equivariant polynomial Abel differential equation a(x)y˙=b1(x)y+b3(x)y3{a(x)\dot{y}=b_{1}(
Llibre Jaume, Valls Clàudia
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Logarithmic corrected Polynomial $f(R)$ inflation mimicking a cosmological constant
, 2016 In this paper, we consider an inflationary model of $f(R)$ gravity with polynomial form plus logarithmic term. We calculate some cosmological parameters and compare our results with the Plank 2015 data.
Kubeka, A. S. +3 more
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Theoretical and experimental results on time-series representations of polynomials
Frontiers in Signal ProcessingThis study considers time-series representations of polynomials. Often in data modelling and many other applications, accurate estimations of the degree of a polynomial, of the noise standard deviation, and of the coefficient of the highest degree of a ...
Asoke K. Nandi
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Complexity of coalition structure generation [PDF]
, 2011 We revisit the coalition structure generation problem in which the goal is to partition the players into exhaustive and disjoint coalitions so as to maximize the social welfare.
Aziz, Haris, de Keijzer, Bart
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Development of key-dependent dynamic S-Boxes with dynamic irreducible polynomial and affine constant
Advances in Mechanical Engineering, 2018 In recent years, the need to develop advanced information technology systems in the area of mechanical engineering has been growing continuously to deliver better product quality at reduced cost.
Praveen Agarwal +2 more
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Hydrodynamics-based functional forms of activity metabolism: a case for the power-law polynomial function in animal swimming energetics. [PDF]
PLoS ONE, 2009 The first-degree power-law polynomial function is frequently used to describe activity metabolism for steady swimming animals. This function has been used in hydrodynamics-based metabolic studies to evaluate important parameters of energetic costs, such ...
Anthony Papadopoulos
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On Correctness of Cauchy problem for a Polynomial Difference Operator with Constant Coefficients
Известия Иркутского государственного университета: Серия "Математика", 2018 The theory of linear difference equations is applied in various areas of ma\-the\-matics and in the one-dimensional case is quite established. For $n>1$, the situation is much more difficult and even for the constant coefficients a general description of
M. S. Apanovich, E.K. Leinartas
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Dispersion relation for water waves with non-constant vorticity
, 2012 We derive the dispersion relation for linearized small-amplitude gravity waves for various choices of non-constant vorticity. To the best of our knowledge, this relation is only known explicitly in the case of constant vorticity.
Constantin +4 more
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