Abstract | ||
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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 |
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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. Corless | 1 | 143 | 21.54 |
Erik Postma | 2 | 2 | 0.48 |
David R. Stoutemyer | 3 | 49 | 19.14 |