SIMPLIFYING SUMS IN ΠΣ*-EXTENSIONS
نویسندگان
چکیده
منابع مشابه
Simplifying Sums in Πς∗-extensions
We present algorithms which split a rational expression in terms of indefinite nested sums and products into a summable part which can be summed by telescoping and into a non-summable part which is degree-optimal with respect to one of the most nested sums or products. If possible, our algorithms find a non-summable part where all these most nested sums and products are eliminated.
متن کاملSimplifying Sums in Πς ∗ - Extensions Carsten
We present telescoping algorithms which compute optimal sum representations of indefinite nested sums. More precisely, given a rational summand expression in terms of nested sums and products, the algorithm splits the summand into a summable part, which can be summed by telescoping, and into a non-summable part, which is degree-optimal with respect to one of the most nested sums or products. If...
متن کاملSimplifying Multiple Sums in Difference Fields
In this survey article we present difference field algorithms for symbolic summation. Special emphasize is put on new aspects in how the summation problems are rephrased in terms of difference fields, how the problems are solved there, and how the derived results in the given difference field can be reinterpreted as solutions of the input problem. The algorithms are illustrated with the Mathema...
متن کاملUniquely Remotal Sets in $c_0$-sums and $ell^infty$-sums of Fuzzy Normed Spaces
Let $(X, N)$ be a fuzzy normed space and $A$ be a fuzzy boundedsubset of $X$. We define fuzzy $ell^infty$-sums and fuzzy $c_0$-sums offuzzy normed spaces. Then we will show that in these spaces, all fuzzyuniquely remotal sets are singletons.
متن کاملSimplifying triangulations
We give a new algorithm to simplify a given triangulation with respect to a given curve. The simplification uses flips together with powers of Dehn twists in order to complete in polynomial time in the bit-size of the curve. keywords. triangulations of surfaces, flip graphs, Dehn twists Mathematics Subject Classification (2010): 57M20
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2007
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498807002302