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Derived equivalence classification of symmetric algebras of polynomial growth
Symmetric algebra Polynomial growth Derived equivalence K¨ulshammer ideals
2010/12/1
We complete the derived equivalence classification of all symmetric algebras of poly-nomial growth, by solving the subtle problem of distinguishing the standard and nonstandard nondomestic symmetric a...
A formula for the HOMFLY polynomial of rational links
formula for the HOMFLY polynomial rational links
2010/12/3
In this paper we give an explicit formula for the HOMFLY polynomial of a rational link (in particular, knot) in terms of a special continued fraction for the rational number that defines the given lin...
Multi-property-preserving Domain Extension Using Polynomial-Based Modes of Operation
Multi-property-preserving Domain Extension Polynomial-Based Modes
2012/11/30
In this paper, we propose a new double-piped mode of operation for multi-property-preserving domain extension of MACs (message authentication codes), PRFs (pseudorandom functions) and PROs (pseudorand...
EFFICIENT AND ERROR-CORRECTING DATA STRUCTURES FOR MEMBERSHIP AND POLYNOMIAL EVALUATION
ERROR-CORRECTING DATA STRUCTURES POLYNOMIAL EVALUATION
2012/11/30
We construct efficient data structures that are resilient against a constant fraction of adversarial noise. Our model requires that the decoder answers most queries correctly with high probability and...
Root Isolation of Zero-dimensional Polynomial Systems with Linear Univariate Representation
Zero-dimensional polynomial system linear univariate representation local generic position root isolation
2013/9/9
In this paper, a linear univariate representation for the roots of a zero-dimensional polynomial equation system is presented, where the roots of the equation system are represented as linear combinat...
Ratio Vectors of Polynomial-Like Functions
Polynomial Real roots Ratio vector Critical points
2010/1/22
Let be a hyperbolic polynomial-like function of the form where are given positive real numbers and . Let be the critical points of lying in . Define the ratios We prove that . These boun...
Exact solutions for some reaction diffusion systems with nonlinear reaction polynomial terms
Factorization method nonlinear polynomial exact solutions
2010/9/10
We introduce a method to find exact traveling wave solutions for reaction diffusion systems of equations with nonlinear reaction polynomial terms. We will apply the method on an important kinds of rea...
Explicit non-algebraic limit cycle for polynomial systems of degree seven
Planar polynomial differential system Algebraic solution
2010/9/13
Explicit non-algebraic limit cycle for polynomial systems of degree seven.
Ritt-Wu's Characteristic Set Method For Ordinary Di®erence Polynomial Systems With Arbitrary Ordering
dierence polynomial ascending chain characteristic set Ritt-Wu's zero decomposition theorem
2013/9/9
In this paper, a new Ritt-Wu's characteristic set method for ordinary di®erence systems is proposed, which is valid for any admissible ordering. New deˉnition for irreducible chains and new zero ...
A Characteristic Set Method For Ordinary Di®erence Polynomial Systems
di® erence polynomial ascending chain characteristic set coherence irreducibility zero decomposition theorem automated theorem proving
2013/9/9
We prove several basic properties for di®erence ascending chains including a necessary and su±cient condition for an ascending chain to be the characteristic set of its saturation ideal and a nec...
Approximation, Numerical Differentiation and Integration Based on Taylor Polynomial
Degree of approximation Taylor polynomial $P_n$-simple functionals least concave majorant of $omega(f,cdot)$
2010/1/22
We represent new estimates of errors of quadrature formula, formula of numerical differentiation and approximation using Taylor polynomial. To measure the errors we apply representation of the remaind...
Application of the Non-Polynomial Spline Approach to the Solution of the Burgers Equation’
Non-polynomial spline nonlinear burgers' equation von neumann stability accuracy
2008/11/10
In this paper, we propose a non-polynomial spline based method to develop a numerical method for approximation to the Burgers' equation. Applying the Von-Neumann stability analysis, we show that the p...
Properties of Ascending Chains for Partial Difference Polynomial Systems
Ascending chain characteristic set coherent chain regular chain irreducible chain partial difference polynomial
2013/9/9
A characteristic set theory for partial difference polynomial systems is proposed. We introduce the concept of coherent and regular ascending chains and prove that a partial difference ascending chain...
$L_p$ Inequalities for the Polar Derivative of a Polynomial
$L_p$ inequalities Polar derivatives Polynomials
2010/1/25
Let denote the polar derivative of a polynomial of degree with respect to real or complex number . If does not vanish in ![]()
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A Polynomial Inequality Generalising an Integer Inequality
Polynomial inequality Sums of Products of Digits Bernoulli inequality
2008/7/3
A Polynomial Inequality Generalising an Integer Inequality.
