Title
Rounding coefficients and artificially underflowing terms in non-numeric expressions
Abstract
This article takes an analytical viewpoint to address the following questions: 1. How can we justifiably beautify an input or result sum of non-numeric terms that has some approximate coefficients by deleting some terms and/or rounding some coefficients to simpler floating-point or rational numbers? 2. When we add two expressions, how can we justifiably delete more non-zero result terms and/or round some result coefficients to even simpler floating-point, rational or irrational numbers? The methods considered in this paper provide a justifiable scale-invariant way to attack these problems for subexpressions that are multivariate sums of monomials with real exponents.
Year
DOI
Venue
2011
10.1145/2016567.2016570
ACM Comm. Computer Algebra
Keywords
Field
DocType
analytical viewpoint,non-zero result term,justifiable scale-invariant,simpler floating-point,underflowing term,non-numeric expression,rounding coefficient,irrational number,result coefficient,rational number,result sum,following question,approximate coefficient,floating point,scale invariance
Discrete mathematics,Combinatorics,Rational number,Expression (mathematics),Irrational number,Rounding,Monomial,Mathematics
Journal
Volume
Issue
Citations 
45
1/2
2
PageRank 
References 
Authors
0.48
16
3
Name
Order
Citations
PageRank
Robert M. Corless114321.54
Erik Postma220.48
David R. Stoutemyer34919.14