In this paper we study the class of m-row matrix compositions (m-compositions, for short), i.e., m-row matrices with nonnegative integer entries in which every column has at least one non-zero element. We provide several enumerative results, various combinatorial identities, and some combinatorial interpretations. Most of these properties are an extension to matrix compositions of the combinato...

Introduction: The fermented milk drinks include: yogurt, kefir, milk, acidophilic koumiss and new generation dairy products. high nutrient content of yogurt is related to the composition it made of. Aim: aim study was assess sensory quality selected natural yoghurts available on Polish market.Material methods: research material consisted 8 market. Natural were purchased in supermarkets Silesian...

Rushan is a traditional dairy product consumed by the Bai people in Yunnan Province of China, and its production still follows procedure backslopping. However, how microbial composition raw materials processing shape microorganisms rushan have not been systemically reported. In this study, high-throughput sequencing technique was applied to analyze compositions milk, fresh rushan, curd whey, ac...

background & aim: drought stress, as a main abiotic stress, has a significant influence on growth and metabolic activities of plant species. in this study, the influence of reduced irrigation on dry herbage, essential oil yield, and chemical components of two thyme species were investigated. experimental: this study was done in an experimental greenhouse, i.a.u., shahrekord branch, iran at...

Concave compositions are compositions (i.e. ordered partitions) of a number in which the parts decrease up to the middle summand(s) and increase thereafter. Perhaps the most surprising result is for even length, concave compositions where the generating function turns out to be the quotient of two instances of the pentagonal number theorem with variations of sign. The false theta function disco...

We consider the problem of reconstructing compositions of an integer from their subcompositions, which was raised by Raykova (albeit disguised as a question about layered permutations). We show that every composition w of n ≥ 3k+1 can be reconstructed from its set of k-deletions, i.e., the set of all compositions of n− k contained in w. As there are compositions of 3k with the same set of k-del...

1 lactating mouse.” 2 3 Bruce D Schultz* 4 5 Department of Anatomy & Physiology, Kansas State University College of Veterinary Medicine, 6 Manhattan, KS, USA 7 8 * Corresponding Author: 9 10 Bruce D. Schultz, Ph.D. 11 Professor and Interim Head 12 Department of Anatomy and Physiology 13 1620 Denison Avenue, 127 Coles Hall 14 Manhattan, KS 66506 15 USA 16 [email protected] 17 18 19 The very e...