Sentence examples for a signed permutation from inspiring English sources

Immediate from Lemmas 7 and 8. From the proof of Lemma 7, we can derive the following optimal algorithm for sorting a signed permutation by signed super short reversals.

By just considering the odd components having at most two vertices, we can obtain better bounds on the signed short operation distance of a signed permutation π (Lemmas 21 and 22).

Using this fact, we can obtain an exact formula for the signed super short reversal distance of a signed permutation π (Theorem 1).

The 34 local colinear blocks shared among the nine Helicobacter genomes, produced by Mauve, were encoded as a signed permutation matrix to indicate order and orientation of homologous segments in a genome.

Let π be a signed permutation.

Algorithm 2 sorts a signed permutation in two steps.

Bergeron et al. proposed that for a given signed permutation π, the set of all optimal solutions is a union of traces.

Proof The probability of seeing a bad component in a permutation taken uniformly at random from the set of all signed permutations is O n-2) [ 15].

We generated permutations, chosen uniformly at random from the set of all signed permutations, with lengths ranging from n = 100 to n = 1000.

The set of all signed permutations of size n is \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $S^{\pm }_{n}$\end{documentt} S n ±.

So the substring s1 s2... s k is a (possibly empty) signed permutation of the integers that are greater than a and less than b; a and b are the frame elements, while those of s1... s k are trunk elements if they are not trunk elements of a smaller FCI.