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DMTCS
2010
416views Mathematics» more  DMTCS 2010»
13 years 2 months ago
Continued fraction expansions for q-tangent and q-cotangent functions
Abstract. For 3 different versions of q-tangent resp. q-cotangent functions, we compute the continued fraction expansion explicitly, by guessing the relative quantities and proving...
Helmut Prodinger
ALGORITHMICA
1998
90views more  ALGORITHMICA 1998»
13 years 4 months ago
Dynamics of the Binary Euclidean Algorithm: Functional Analysis and Operators
We provide here a complete average-case analysis of the binary continued fraction representation of a random rational whose numerator and denominator are odd and less than N. We an...
Brigitte Vallée
AAECC
2006
Springer
120views Algorithms» more  AAECC 2006»
13 years 4 months ago
Continued fraction for formal laurent series and the lattice structure of sequences
Abstract Besides equidistribution properties and statistical independence the lattice profile, a generalized version of Marsaglia's lattice test, provides another quality meas...
Wilfried Meidl
NA
2011
296views Computer Vision» more  NA 2011»
12 years 11 months ago
Rational approximation to the Fermi-Dirac function with applications in density functional theory
We are interested in computing the Fermi-Dirac matrix function in which the matrix argument is the Hamiltonian matrix arising from Density Function Theory (DFT) applications. More...
Roger B. Sidje, Yousef Saad
JAR
2010
160views more  JAR 2010»
13 years 3 months ago
MetiTarski: An Automatic Theorem Prover for Real-Valued Special Functions
Many theorems involving special functions such as ln, exp and sin can be proved automatically by MetiTarski: a resolution theorem prover modified to call a decision procedure for ...
Behzad Akbarpour, Lawrence C. Paulson