In this paper we present two interesting properties of 321-avoiding Baxter permutations. The first one is a variant of refined major-balance identity for the 321avoiding Baxter permutations, respecting the number of fixed points and descents. The second one is a bijection between the 321-avoiding Baxter permutations with the entry 1 preceding the entry 2 and the positive braid words on four str...

, 826 (2008); 321 Science et al. John D. Savee, -Triazine sym Dissociation of The Role of Excited-State Topology in Three-Body www.sciencemag.org (this information is current as of November 20, 2008 ): The following resources related to this article are available online at http://www.sciencemag.org/cgi/content/full/321/5890/826 version of this article at: including high-resolution figures, can ...

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INTRODUCTION ..................................................................................................................... 295 A META THEORETIC TAXONOMY OF PERSONALITY THEORIES AND PROCESSESS: THREE DIMENSIONS OF PERSONALITY THEORY...................... 297 Levels of Generality-From the Species to the IndividuaL................................................ 299 Levels of Explanation-F...

Given a permutation w, we look at the range of how often simple reflection σk appears in reduced decompositions w. We compute minimum and give sharp upper bound on maximum. That is terms 321- 3412-patterns specifically as they relate value position to k. also characterize when that maximum are equal, refining previous result braid moves equivalent 321-patterns.

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Adin and Roichman proved a set of refined sign-balance identities on 321-avoiding permutations respecting the last descent of the permutations, which we call the identities of Adin–Roichman type. In thiswork,we construct a new involution onplane trees that proves refined sign-balance properties on 321-avoiding alternating permutations respecting the first and last entries of the permutations re...

ENWEndNote BIBJabRef, Mendeley RISPapers, Reference Manager, RefWorks, Zotero AMA Ghaderian SB, Sadrian A, Rashidi H, Sedaghat A. Comparison of relative frequency treatment response and complications incidence in two therapeutic groups patients with hypoparathyroidism treated 1,25-dihydroxycholecalciferol 25-hydroxycholecalciferol referred to clinics Ahwaz educational hospitals the years 2010–2...

About 388 million school-going children worldwide benefit from school feeding schemes, which make use of fresh produce to prepare meals. Fresh including leafy greens and other vegetables were served at 37% 31% programs, respectively, in Africa. This study aimed assessing the microbiological quality grown onsite or supplied South African schools that are part national programs over 9 children. C...

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