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» Bounding Degrees on RPL
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STOC
2012
ACM
209views Algorithms» more  STOC 2012»
13 years 3 months ago
Nearly optimal solutions for the chow parameters problem and low-weight approximation of halfspaces
The Chow parameters of a Boolean function f : {−1, 1}n → {−1, 1} are its n + 1 degree-0 and degree-1 Fourier coefficients. It has been known since 1961 [Cho61, Tan61] that ...
Anindya De, Ilias Diakonikolas, Vitaly Feldman, Ro...
104
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ISSAC
2005
Springer
141views Mathematics» more  ISSAC 2005»
15 years 6 months ago
Algebraic general solutions of algebraic ordinary differential equations
In this paper, we give a necessary and sufficient condition for an algebraic ODE to have an algebraic general solution. For an autonomous first order ODE, we give an optimized bo...
J. M. Aroca, J. Cano, Ruyong Feng, Xiao-Shan Gao
97
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APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
15 years 6 months ago
The Diameter of Randomly Perturbed Digraphs and Some Applications.
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
Abraham Flaxman, Alan M. Frieze
110
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CSR
2006
Springer
15 years 4 months ago
Complexity of Polynomial Multiplication over Finite Fields
Let Mq (n ) denote the number of multiplications required to compute the coefficients of the product of two polynomials of degree n over a q -element field by means of bilinear alg...
Michael Kaminski
72
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AAECC
1995
Springer
92views Algorithms» more  AAECC 1995»
15 years 4 months ago
Division of Entire Functions by Polynomial Ideals
In [ASTW] it was given a Grobner reduction based division formula for entire functions by polynomial ideals. Here we give degree bounds where the input function can be truncated i...
Joachim Apel