E. R. Berlekamp [1][2] raised a question concerning the entries of certain matrices of determinant 1. (Originally Berlekamp was interested only in the entries modulo 2.) Carlitz, Roselle, and Scoville [3] gave a combinatorial interpretation of the entries (over the integers, not just modulo 2) in terms of lattice paths. Here we will generalize the result of Calitz, Roselle, and Scoville in two ...

E. R. Berlekamp [1][2] raised a question concerning the entries of certain matrices of determinant 1. (Originally Berlekamp was interested only in the entries modulo 2.) Carlitz, Roselle, and Scoville [3] gave a combinatorial interpretation of the entries (over the integers, not just modulo 2) in terms of lattice paths. Here we will generalize the result of Carlitz, Roselle, and Scoville in two...

Some food spices and herbs with antioxidant properties have been identified as phyto-additives, of which roselle (Hibiscus sabdariffa), black pepper (Piper nigrum L), green tea (Camellia sinesis) are important. This study aimed to assess the effect natural antioxidants its inclusion levels on performance meat quality Noiler chickens. A total 270 one-day-old noiler chickens were distributed into...

A study was conducted to determine the effects of packaging materials, seasonality, storage temperature and time on physiochemical and antioxidant properties of roselle-mango juice blends. Roselle extract (20%, 40%, 60%, and 80%) was mixed with mango juice and stored in glass and plastic bottles at 4°C and 28°C. Total soluble solids, pH, titratable acidity, reducing sugar, color, vitamin C, tot...

Roselle (Hibiscus sabdariffa L.), as an edible flower, has long provided array of positive effects on human health. This benefit is a result phenolic compounds that are naturally present mainly in the calyx. Plentiful medicinal remedies and functional foods based this flower available worldwide, supported by studies recent decades. paper aims to provide comprehensive review composition, biologi...

We generalize some identities and q-identities previously known for the symmetric group to Coxeter groups of type B and D. The extended results include theorems of Foata and Schützenberger, Gessel, and Roselle on various distributions of inversion number, major index, and descent number. In order to show our results we provide caracterizations of the systems of minimal coset representatives of ...