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» On the decomposition of rational functions
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DM
2008
101views more  DM 2008»
13 years 8 months ago
Congruences involving Bernoulli polynomials
Let {Bn(x)} be the Bernoulli polynomials. In the paper we establish some congruences for Bj(x) (mod pn), where p is an odd prime and x is a rational p-integer. Such congruences are...
Zhi-Hong Sun
JMIV
2006
58views more  JMIV 2006»
13 years 8 months ago
On the Probability of the Number of Solutions for the P4P Problem
This paper studies the multi-solution phenomenon for the perspective four point (P4P) problem from geometric and algebraic aspects. We give a pure geometric proof that the P4P pro...
Xiao-Shan Gao, Jianliang Tang
AUTOMATICA
2002
81views more  AUTOMATICA 2002»
13 years 8 months ago
A convex approach to the characterization of the frequency response of ellipsoidal plants
This paper deals with the frequency domain properties of an ellipsoidal family of rational functions, i.e. a family of rational functions whose coefficients depend affinely on an ...
Graziano Chesi, Andrea Garulli, Alberto Tesi, Anto...
CISS
2008
IEEE
14 years 3 months ago
Costas permutations in the continuum
—We extend the definition of the Costas property to functions in the continuum, namely on intervals of the reals or the rationals, and argue that such functions can be used in t...
Konstantinos Drakakis, Scott Rickard
DMTCS
2003
89views Mathematics» more  DMTCS 2003»
13 years 10 months ago
On the Monotonic Computability of Semi-computable Real Numbers
Let h : N → Q be a computable function. A real number x is h-monotonically computable (h-mc, for short) if there is a computable sequence (xs) of rational numbers which converges...
Xizhong Zheng, George Barmpalias