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ENTCS
2008
91views more  ENTCS 2008»
13 years 11 months ago
Implementing Real Numbers With RZ
RZ is a tool which translates axiomatizations of mathematical structures to program specifications using the realizability interpretation of logic. This helps programmers correctl...
Andrej Bauer, Iztok Kavkler
VLSID
2000
IEEE
164views VLSI» more  VLSID 2000»
14 years 3 months ago
A Fast Algorithm for Computing the Euler Number of an Image and its VLSI Implementation
Digital images are convenient media for describing and storing spatial, temporal, spectral, and physical components of information contained in a variety of domains(e.g. aerial/sa...
Sabyasachi Dey, Bhargab B. Bhattacharya, Malay Kum...
ARITH
2005
IEEE
14 years 4 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
DAGSTUHL
2008
14 years 9 days ago
Real Algebraic Numbers: Complexity Analysis and Experimentation
Abstract. We present algorithmic, complexity and implementation results concerning real root isolation of a polynomial of degree d, with integer coefficients of bit size , using S...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
ARITH
2009
IEEE
14 years 5 months ago
A Dual-Purpose Real/Complex Logarithmic Number System ALU
—The real Logarithmic Number System (LNS) allows fast and inexpensive multiplication and division but more expensive addition and subtraction as precision increases. Recent advan...
Mark G. Arnold, Sylvain Collange