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SIAMCOMP
2008
72views more  SIAMCOMP 2008»
13 years 7 months ago
Plottable Real Number Functions and the Computable Graph Theorem
The Graph Theorem of classical recursion theory states that a total function on the natural numbers is computable, if and only if its graph is recursive. It is known that this res...
Vasco Brattka
FFA
2011
104views more  FFA 2011»
13 years 2 months ago
Zeta functions of equivalence relations over finite fields
ABSTRACT. We prove the rationality of the generating function associated to the number of equivalence classes of Fqk -points of a constructible equivalence relation defined over t...
Tibor Beke
AML
2008
124views more  AML 2008»
13 years 7 months ago
The elementary computable functions over the real numbers: applying two new techniques
The basic motivation behind this work is to tie together various computational complexity classes, whether over different domains such as the naturals or the reals, or whether def...
Manuel Lameiras Campagnolo, Kerry Ojakian
ARITH
2005
IEEE
14 years 1 months ago
The Residue Logarithmic Number System: Theory and Implementation
— The Residue Logarithmic Number System (RLNS) represents real values as quantized logarithms which, in turn, are represented using the Residue Number System (RNS). Compared to t...
Mark G. Arnold
ARITH
2003
IEEE
14 years 23 days ago
Scaling an RNS Number Using the Core Function
This paper introduces a method for extracting the core of a Residue Number System (RNS) number within the RNS, this affording a new method for scaling RNS numbers. Suppose an RNS ...
Neil Burgess