We establish a relative spannedness for log canonical pairs, which is generalization of the basepoint-freeness varieties with log-terminal singularities by Andreatta--Wiśniewski. Moreover, we quasi-log pairs.

The purpose of this paper is to derive a new Bailey pair and three WP-Bailey pairs from four summation formulas the multibasic hypergeometric series. As applications, we will use them obtain many transformation for basic

karyotype of river loach turcinoemacheilus kosswigi from the euphrates river, turkey was investigated using conventional giemsa-staining and c-banding. two females and two males were analyzed. diploid chromosome number was 2n= 50 in all specimens. the karyotype consisted of four pairs of metacentric (m), seven pairs of submeta (sm)-subtelocentric (st) and 14 pairs of acrocentric (a) chromosomes...