This paper develops a constant amortized time algorithm to produce a cyclic cool-lex Gray code for fixed-density binary necklaces, Lyndon words, and pseudo-necklaces. It is the first Gray code for these objects that achieves this time bound. The algorithm is applied: (i) to develop a constant amortized time cyclic Gray code for necklaces, Lyndon words, and pseudo-necklaces ordered by density an...

Let F be a field, V a finite subset of F. We introduce the lex game, which yields a combinatorial description of the lexicographic standard monomials of the ideal I(V ) of polynomials vanishing on V . As a consequence, we obtain a fast algorithm which computes the lexicographic standard monomials of I(V ). We apply the lex game to calculate explicitly the standard monomials for special types of...

Lex orandi, lex credendi, vivendi is conventional concepts of the Christian life, but those are still relevant to solve problems modern society. The interconnectedness worship (lex orandi), theology credendi), life vivendi) emphasized in sphere. Nevertheless, God's mission as role Christians was not highlighted their relationship. Commitment Cape Town strongly stresses that accomplishes with ho...

The synthesis of three Le(x) derivatives from one common protected trisaccharide is reported. These analogues will be used respectively for competitive binding experiments, conjugation to carrier proteins and immobilization on gold. An N-acetylglucosamine monosaccharide acceptor was first glycosylated at O-4 with a galactosyl imidate. This coupling was performed at 40° C under excess of BF₃.OEt...