The higher order degrees are Alexander-type invariants of complements to an affine plane curve. In this paper, we characterize the vanishing such for a curve C given as transversal union curves ′ $C^{\prime }$ and \prime in terms finiteness properties , whether or not they irreducible. As consequence, prove that multivariable Alexander polynomial Δ multi $\Delta ^{\operatorname{multi}}_C$ is po...

Abstract This paper is concerned with the n -dimensional strongly coupled parabolic systems triangular form in cylinder Ω × ( 0 , T stretchy="false">] \Omega \times (0,T] . We investigate <m:...

In this paper we introduce the concept of weakly prime ternary subsemimodules of a ternary semimodule over a ternary semiring and obtain some characterizations of weakly prime ternary subsemimodules. We prove that if $N$ is a weakly prime subtractive ternary subsemimodule of a ternary $R$-semimodule $M$, then either $N$ is a prime ternary subsemimodule or $(N : M)(N : M)N = 0$. If $N$ is a $Q$-...

Assume that $mathbb{D}$ is the open unit disk. Applying Ozaki's conditions, we consider two classes of locally univalent, which denote by $mathcal{G}(alpha)$ and $mathcal{F}(mu)$ as follows begin{equation*}  mathcal{G}(alpha):=left{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f^{prime }(z)}right) <1+frac{alpha }{2},quad 0<alphaleq1right}, end{equation*} and begin{equation*}  ma...

Limiting hemodilution in neonates is difficult when extracorporeal circuits require priming volumes that are 2 to 3 times the blood volume of the newborn patient. This extreme hemodilution contributes to the development of significant postbypass coagulation disturbances. The purpose of this project was to design a low-prime neonatal bypass circuit and evaluate the coagulation status after reduc...

Evidence for an early involvement of phonology in word identification usually relies on the comparison between a target word preceded by a homophonic prime and an orthographic control (rait-RATE vs. raut-RATE). This comparison rests on the assumption that the two control primes are equally orthographically similar to the target. Here, we tested for phonological effects with a masked priming par...

The conjecture that every algebra norm || • || on C(X) is equivalent to the uniform norm arises naturally from a theorem of Kaplansky in 1949 that necessarily 11/11 > \f\x ( ƒ e C(X)): see [9, 10.1]. The seminal paper on the automatic continuity of homomorphisms from C(X) is the 1960 paper of Bade and Curtis [2] in which, for example, it is proved that there is a discontinuous homomorphism from...

Let (X,S) be an association scheme where X is a finite set and S is a partition of X × X. The size of X is called the order of (X,S). We define C to be the set of positive integers m such that each association scheme of order m is commutative. It is known that each prime is belonged to C and it is conjectured that each prime square is belonged to C. In this article we give a sufficient conditio...

In an effort to make affordable vaccines suitable for the regions most affected by HIV-1, we have constructed stable vaccines that express an HIV-1 subtype C mosaic Gag immunogen (BCG-GagM, MVA-GagM and DNA-GagM). Mosaic immunogens have been designed to address the tremendous diversity of this virus. Here we have shown that GagM buds from cells infected and transfected with MVA-GagM and DNA-Gag...

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 $(n-1,n)$-...