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» Elementary arithmetic
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UMC
2000
13 years 9 months ago
Upper and Lower Bounds on Continuous-Time Computation
Abstract. We consider various extensions and modifications of Shannon's General Purpose Analog Computer, which is a model of computation by differential equations in continuou...
Manuel Lameiras Campagnolo, Cristopher Moore
TC
2008
13 years 4 months ago
Power and Area-Efficient Unified Computation of Vector and Elementary Functions for Handheld 3D Graphics Systems
A unified computation method of vector and elementary functions is proposed for handheld 3D graphics systems. It unifies vector operations like vector multiply, multiply-and-add, d...
Byeong-Gyu Nam, Hyejung Kim, Hoi-Jun Yoo
AISC
2008
Springer
13 years 7 months ago
MetiTarski: An Automatic Prover for the Elementary Functions
Many inequalities involving the functions ln, exp, sin, cos, etc., can be proved automatically by MetiTarski: a resolution theorem prover (Metis) modified to call a decision proced...
Behzad Akbarpour, Lawrence C. Paulson
CORR
2007
Springer
128views Education» more  CORR 2007»
13 years 5 months ago
Verified Real Number Calculations: A Library for Interval Arithmetic
—Real number calculations on elementary functions are remarkably difficult to handle in mechanical proofs. In this paper, we show how these calculations can be performed within a...
Marc Daumas, David Lester, César Muñ...
ISMVL
2006
IEEE
117views Hardware» more  ISMVL 2006»
13 years 11 months ago
Representations of Elementary Functions Using Binary Moment Diagrams
This paper considers representations for elementary functions such as polynomial, trigonometric, logarithmic, square root, and reciprocal functions. These real valued functions ar...
Tsutomu Sasao, Shinobu Nagayama