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» Handbook of mathematical functions
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STOC
2003
ACM
110views Algorithms» more  STOC 2003»
14 years 9 months ago
New degree bounds for polynomial threshold functions
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
Ryan O'Donnell, Rocco A. Servedio
ISSAC
2011
Springer
225views Mathematics» more  ISSAC 2011»
12 years 11 months ago
On the structure of compatible rational functions
A finite number of rational functions are compatible if they satisfy the compatibility conditions of a first-order linear functional system involving differential, shift and q-...
Shaoshi Chen, Ruyong Feng, Guofeng Fu, Ziming Li
ISSAC
2009
Springer
120views Mathematics» more  ISSAC 2009»
14 years 3 months ago
A non-holonomic systems approach to special function identities
We extend Zeilberger’s approach to special function identities to cases that are not holonomic. The method of creative telescoping is thus applied to definite sums or integrals...
Frédéric Chyzak, Manuel Kauers, Brun...
SETA
2010
Springer
228views Mathematics» more  SETA 2010»
13 years 7 months ago
Nega-Hadamard Transform, Bent and Negabent Functions
In this paper we start developing a detailed theory of nega– Hadamard transforms. Consequently, we derive several results on negabentness of concatenations, and partially-symmetr...
Pantelimon Stanica, Sugata Gangopadhyay, Ankita Ch...
ISIPTA
2003
IEEE
14 years 1 months ago
Combining Belief Functions Issued from Dependent Sources
Dempster’s rule for combining two belief functions assumes the independence of the sources of information. If this assumption is questionable, I suggest to use the least speci...
Marco E. G. V. Cattaneo