let $r$ be a 2-torsion free ring and $u$ be a square closed lie ideal of $r$. suppose that $alpha, beta$ are automorphisms of $r$. an additive mapping $delta: r longrightarrow r$ is said to be a jordan left $(alpha,beta)$-derivation of $r$ if $delta(x^2)=alpha(x)delta(x)+beta(x)delta(x)$ holds for all $xin r$. in this paper it is established that if $r$ admits an additive mapping $g : rlongrigh...

The length of curves may be measured by numeric integration if the curves are given by analytic formulas. Not all curves can or should be described parametrically. In this report we use the alternative grid topology approach. The shortest polygonal Jordan curve in a simple closed one-dimensional grid continuum is used to estimate a curve's length. An O(n) algorithm for finding the shortest poly...

The dominant structural feature of Jordan is the north-south trending Dead Sea Rift. It is an active part of the African-Syrian Rift, which extends for about 6000 km, from east Africa through the Red Sea, Wadi Araba, Dead Sea, Jordan Valley to south Turkey. The groundwater aquifers of Jordan are divided into three main complexes: A deep sandstone aquifer complex, an Upper Cretaceous aquifer com...

The chemical composition of groundwater in the Jordan Valley, along the section between the Sea of Galilee and the Dead Sea, is investigated in order to evaluate the origin of the groundwater resources and, in particular, to elucidate the role of deep brines on the chemical composition of the regional groundwater resources in the Jordan Valley. Samples were collected from shallow groundwater in...

The purpose of this paper is to fill a gap in Albert's structure theory' of abstract Jordan algebras of any characteristic $2, by proving the following: THEOREM A. Let 21 be a finite-dimensional Jordan algebra over a field (. Assume (1) that 21 has an identity element u and (2) that every element of 21 has the form au + z, where a e (D and z is nilpotent. Then 21 = 4u + A3, where Z is a nil sub...

The formal mathematical definition of a Jordan curve (a non-self-intersecting continuous loop in the plane) is so simple that one is often lead to the unimaginative view that a Jordan curve is nothing more than a circle or an ellipse. In this paper, we continue a discussion of others [1, 2, 9, 11] that a Jordan curve can be quite fantastical both in some bizarre properties such a curve might ha...

In this paper we review the definition of the invariants “bar codes” and “Jordan cells” of real and angle valued tame maps as proposed in [1] and [4] and prove the homotopy invariance of the sums ]Bc r + ]Bo r−1 and of the set of Jordan cells. Here Bc r resp. Bo r denote the sets of closed resp. open bar codes in dimension r. In addition we provide calculation of some familiar topological invar...

OBJECTIVE To find out the prevalence of overweight and obesity among female adolescents in Jordan. METHODOLOGY A cross-sectional survey on females aged 15-18 in Amman, Jordan, was carried out using a multistage stratified random sampling method. The total sample size was 475 girls. Weight and height were measured and body mass index for age was used to determine overweight and obesity using t...

This study seeks to explore the perceptions of users regarding Internet financial reporting (IFR) practices in Jordan. A questionnaire survey of 200 possible participants of four different user-groups was conducted to investigate their perceptions regarding the usefulness and usability of IFR as a source of information in Jordan. 114 received responses were analysed using the Kruskal-Wallis tes...

A characterization is obtained for the matrices A with the property that every (some) Jordan basis of every A-invariant subspace can be extended to a Jordan basis of A. These results are based on a criterion for a Jordan basis of an invariant subspace to be extendable to a Jordan basis of the whole space. The criterion involves two concepts: the constancy property and the depth property. "'Supp...