Results 191 to 200 of about 3,028 (216)
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Bijectively deranging!

Afrika Matematika, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kiady Rakotovao Amboara   +1 more
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Efficient bijective parameterizations

ACM Transactions on Graphics, 2020
We propose a novel method to efficiently compute bijective parameterizations with low distortion on disk topology meshes. Our method relies on a second-order solver. To design an efficient solver, we develop two key techniques. First, we propose a coarse shell to substantially reduce the number of collision constraints that are used to ...
Jian-Ping Su   +3 more
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Geometrical Bijections in Discrete Lattices

Combinatorics, Probability and Computing, 1999
We define uniformly spread sets as point sets in d-dimensional Euclidean space that are wobbling equivalent to the standard lattice ℤd. A linear image ϕ(ℤd) of ℤd is shown to be uniformly spread if and only if det(ϕ) = 1. Explicit geometrical and number-theoretical constructions are given.
Carstens, Hans-Georg   +3 more
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Identités et bijections

2013
On considere le produit infini (1 + x)(1 + x2)(1 + x3)(1 + x4) ⋯ que l’on developpe selon la methode habituelle sous la forme d’une serie \( \sum {_{n \geqslant 0} a_n x^n } \) en regroupant les termes correspondant a la meme puissance de x.
Martin Aigner, Günter M. Ziegler
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Differences of Bijections

The American Mathematical Monthly, 2019
When is a function from an abelian group to itself expressible as a difference of two bijections? Answering this question for finite cyclic groups solves a problem about juggling.
Daniel H. Ullman, Daniel J. Velleman
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Constructing sequential bijections

1997
We state a simple condition on a rational subset X of a free monoid B* for the existence of a sequential function that is a one-to-one mapping of some free monoid A* onto X. As a by-product we obtain new sequential bijections of a free monoid onto another.
Christophe Prieur   +2 more
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Bijections birationnelles

2009
Nous montrons que toute bijection de Pn(K), pour K un corps fini de caractéristique impaire, est induite par une transformation birationnelle sans point d'indétermination ...
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Identities versus bijections

2004
Consider the infinite product (1+x)(1+x 2)(1+x 3)(1+x 4) · · · and expand it in the usual way into a series \( \sum_{n \geq 0} \) a n x n by grouping together those products that yield the same power x n . By inspection we find for the first terms $$ \label{1} \prod_{k \geq 1} (1+x^{k}) = 1 + x + x^{2} + 2x^{3} + 2x^{4} + 3x^{5} + 4x^{6} + 5x^{7} +
Martin Aigner, Günter M. Ziegler
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Bijective A-transducers

20th Annual Symposium on Foundations of Computer Science (sfcs 1979), 1979
In this paper we study bijective a-transducers. We derive necessary and sufficient conditions on pairs of regular sets (R,S) such that a bijective a-transducer, mapping R cnto S exists. The results obtained allow the systematic construction of an a-transducer, mapping a set R onto a set S bijectively for surprisingly "different" regular sets R and S.
H. A. Maurer, H. Nivat
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Permutations and Bijections

2012
Two problems, connected with analysing empirical data are considered. First is a problem of minimizing the number of crossings in a bipartite graph. Second is a pattern matching problem for permutations. In both cases the original problem is transformed into a similar problem for an appropriate mathematical structure, which can be considered as an ...
Vohandu Leo, Peder Ahti, Tombak Mati
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