‎A $mu$-way $(v,k,t)$ $trade$ of volume $m$ consists of $mu$‎ ‎disjoint collections $T_1$‎, ‎$T_2‎, ‎dots T_{mu}$‎, ‎each of $m$‎ ‎blocks‎, ‎such that for every $t$-subset of $v$-set $V$ the number of‎ ‎blocks containing this t-subset is the same in each $T_i (1leq‎ ‎i leq mu)$‎. ‎In other words any pair of collections ${T_i,T_j}$‎, ‎$1leq i< j leq mu‎$ is a $(v,k,t)$ trade of volume $m$. In th...

‎a $mu$-way $(v,k,t)$ $trade$ of volume $m$ consists of $mu$‎ ‎disjoint collections $t_1$‎, ‎$t_2‎, ‎dots t_{mu}$‎, ‎each of $m$‎ ‎blocks‎, ‎such that for every $t$-subset of $v$-set $v$ the number of‎ ‎blocks containing this t-subset is the same in each $t_i (1leq‎ ‎i leq mu)$‎. ‎in other words any pair of collections ${t_i,t_j}$‎, ‎$1leq i< j leq mu‎$ is a $(v,k,t)$ trade of volume $m$. in th...

HAS-V is a cryptographic hash function which processes 1024-bit message blocks and produces a hash value of variable length. The design of the hash function is based on design principles of the MD4 family. Recently, weaknesses have been shown in members of this family. Therefore, the analysis of the HAS-V hash function is of great interest. To the best of our knowledge this is the first article...

We discuss the thesis formulated by Hintikka (1973) that certain natural language sentences require non-linear quantification to express their meaning. We investigate sentences with combinations of quantifiers similar to Hintikka’s examples and propose a novel alternative reading expressible by linear formulae. This interpretation is based on linguistic and logical observations. We report on ou...

In this study, all the hairs and their follicles characteristics of Iranian Bakhtiari sheep were investigated. A total of 48 healthy Bakhtiari sheep (aged 5-8 months) were selected and categorized on the basis of sex (24 females and 24 males). Samples were taken as small pieces from different regions of the skin, fixed and stained with haematoxylin and eosin. The following indices in each piece...