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» Standardization and Testing of Mathematical Functions
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ICFP
2001
ACM
14 years 5 months ago
Functioning without Closure: Type-Safe Customized Function Representations for Standard ML
The CIL compiler for core Standard ML compiles whole ML programs using a novel typed intermediate language that supports the generation of type-safe customized data representation...
Allyn Dimock, Ian Westmacott, Robert Muller, Frank...
ICDAR
2007
IEEE
13 years 11 months ago
Representing and Characterizing Handwritten Mathematical Symbols through Succinct Functional Approximation
We model on-line ink traces for a set of 219 symbols to “best fit” low-degree polynomial series. Using a collection of mathematical writing samples, we find that in many cas...
Bruce W. Char, Stephen M. Watt
CCE
2004
13 years 5 months ago
Balanced random interval arithmetic
The results of experimental testing of balanced random interval arithmetic with typical mathematical test functions and practical problem are presented and discussed. The possibili...
Julius Zilinskas, Ian David Lockhart Bogle
CASC
2010
Springer
151views Mathematics» more  CASC 2010»
13 years 4 months ago
Supporting Global Numerical Optimization of Rational Functions by Generic Symbolic Convexity Tests
Convexity is an important property in nonlinear optimization since it allows to apply efficient local methods for finding global solutions. We propose to apply symbolic methods t...
Winfried Neun, Thomas Sturm, Stefan Vigerske
ISSAC
1994
Springer
119views Mathematics» more  ISSAC 1994»
13 years 9 months ago
Branch Cuts in Computer Algebra
Many standard functions, such as the logarithm and square root functions, cannot be de ned continuously on the complex plane. Mistaken assumptions about the properties of these fu...
Adam Dingle, Richard J. Fateman