The first point is to describe vector spaces with topologies arising from (separating) families of semi-norms. These all turn out to be locally convex, for straightforward reasons. The second point is to check that any locally convex topological vectorspace's topology can be given by a collection of seminorms. These seminorms are made in a natural way from a local basis consisting of balanced c...

low phosphorous (p) availability in soils limits production of soybean [glycine max (l.) merr.] around the world. this study was conducted to determine whether exogenous expression of the rice (oryza sativa l.) phosphates transporter gene ospt2 would increase inorganic phosphates (pi) acquisition and improve yield in transgenic soybean. cotyledonary-node explants of the soybean were inoculated ...

The effects of parental divorce on the levels of aggression, hostility, and anxiety in children, as measured by the Rorschach test, together with the type and direction of aggression, as measured by the Rosenzweig Picture-Frustration (P-F) Study, were studied. The Rorschach and the Rosenzweig P-F study were administered to a nonclinical sample of 108 Swedish children ranging in age from 10 to 1...

In this paper we present an extension of the classical Root-Locus (RL) method where the points are calculated in the real projective plane instead of the conventional affine real plane; we denominate this extension of the Root-Locus as “Projective Root-Locus (PjRL)”. To plot the PjRL we use the concept of “Gnomonic Projection” in order to have a representation of the projective real plane as a ...

Let $R$ be a commutative Noetherian ring. We prove that  over a local ring $R$ every finitely generated $R$-module $M$ of finite Gorenstein projective dimension has a Gorenstein projective cover$varphi:C rightarrow M$ such that $C$ is finitely generated and the projective dimension of $Kervarphi$ is finite and $varphi$ is surjective.

Given a smooth projective curve C defined over Q and given two elliptic surfaces E1 −→ C and E2 −→ C along with sections Pi, Qi of Ei (for i = 1, 2), we prove that if there exist infinitely many t ∈ C(Q) such that for some integers m1,t,m2,t, we have that [mi,t](Pi)t = (Qi)t on Ei (for i = 1, 2), then at least one of the following conclusions must hold: either (i) there exists an isogeny ψ : E1...