let $r$ be a commutative ring with identity‎. ‎a proper ideal $p$ of $r$ is a $(n-1,n)$-$phi_m$-prime ($(n-1,n)$-weakly prime) ideal if $a_1,ldots,a_nin r$‎, ‎$a_1cdots a_nin pbackslash p^m$ ($a_1cdots a_nin pbackslash {0}$) implies $a_1cdots a_{i-1}a_{i+1}cdots a_nin p$‎, ‎for some $iin{1,ldots,n}$; ($m,ngeq 2$)‎. ‎in this paper several results concerning $(n-1,n)$-$phi_m$-prime and $(n-1,n)$-...

Starting from the difficulty of creating playful representation of domain-specific abstract concepts, this study discusses the design of Prime Slaughter, a computer game aimed at facilitating individual sense-making of abstract mathematical concepts. Specifically the game proposes a transpositionmathematical concepts. Specifically the game proposes a transposition of primality and factorization...

the emergency medical centers are very helpful since they reduce the number of death and injuries by getting to the scenes of accidents and dealing with the case immediately. as saving one's life is the prime goal in these centers, any findings and techniques which will improve the services and ease achieving the goal will be highly welcomed. the first and the major factor in giving this kind o...

hrough the study of two models, the video games Metroid Prime 3 and Bioshock, the present article explores the relations between the game-play experience related to interactive fiction and the kind of narrative construction typical of two of the key science fiction genres: intergalactic conflict and the distopic city. By means of identifying two complementary dimensions that shape gaming experi...

Throughout this paper, every groups are finite. The prime graph of a group $G$ is denoted by $Gamma(G)$. Also $G$ is called recognizable by prime graph if for every finite group $H$ with $Gamma(H) = Gamma(G)$, we conclude that $Gcong H$. Until now, it is proved that if $k$ is an odd number and $p$ is an odd prime number, then $PGL(2,p^k)$ is recognizable by prime graph. So if $k$ is even, the r...

Nerve agents belong to the most toxic organophosphates (OP) in the group of cholinesterase inhibitors. They can be used as chemical warfare agents and, they can be (and were) misused by terrorists, as happened in Matsumoto city (1994) and Tokyo subway (1995). Sarin was used in these cases. Medical protection against their effect (i.e. antidotal treatment) is of prime importance (Bajgar 2004, 20...

We provide software implementation timings for pairings over composite-order and prime-order elliptic curves. Composite orders must be large enough to be infeasible to factor. They are modulus of 2 up to 5 large prime numbers in the literature. There exists size recommendations for two-prime RSA modulus and we extend the results of Lenstra concerning the RSA modulus sizes to multi-prime modulus...