The Jordan center of a graph is defined as a vertex whose maximum distance to other nodes in the graph is minimal, and it finds applications in facility location and source detection problems. We study properties of the Jordan center in the case of random growing trees. In particular, we consider a regular tree graph on which an infection starts from a root node and then spreads along the edges...

Mobile government (M-government) is a new delivery channel for governments to provide timely information and services ubiquitously to residents, businesses and other government departments through mobile devices. Developing countries have a higher mobile penetration rate than the fixed line internet rates which opens doors of opportunities for these countries to bridge the digital gab and gain ...

The aim of the famous Born and Jordan 1925 paper was to put Heisenberg's matrix mechanics on a firm mathematical basis. Born and Jordan showed that if one wants to ensure energy conservation in Heisenberg's theory it is necessary and sufficient to quantize observables following a certain ordering rule. One apparently unnoticed consequence of this fact is that Schrödinger's wave mechanics cannot...

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...

We consider possible non-signaling composites of probabilistic models based on euclidean Jordan algebras. Subject to some reasonable constraints, we show that no such composite exists having the exceptional Jordan algebra as a direct summand. We then construct several dagger compact categories of such Jordan-algebraic models. One of these neatly unifies real, complex and quaternionic mixed-stat...

To investigate the seroprevalence of, and risk factors for, caprine arthritis-encephalitis virus (CAEV) infection in different breeds of goats in Jordan, sera from 1100 goats from three different geographical regions in Jordan were analyzed. Prevalence of antibodies to CAEV was determined using a competitive ELISA test. A semi-structured questionnaire was used to collect information on herd hea...

The bio-solubilization of Jordan phosphorite by the phosphate-solubilizing fungus Aspergillus niger has been investigated. The effect of the phosphate concentration in the liquid medium, the duration of biodecomposition, titratable acidity and the effect of preliminary mechanical activation on the process of dissolution have been studied. The investigations indicate that almost complete extract...

We show that each Jordan homomorphism R→ R′ of rings gives rise to a harmonic mapping of one connected component of the projective line over R into the projective line over R′. If there is more than one connected component then this mapping can be extended in various ways to a harmonic mapping which is defined on the entire projective line over R. Mathematics Subject Classification (2000): 51C0...

The holonomy-flux *-algebra was recently proposed as an algebra of basic kinematical observables for loop quantum gravity. We show the conventional GNS construction breaks down when the the holonomyflux *-algebra is allowed to be a Jordan algebra of observables. To remedy this, we give a Jordan GNS construction for the holonomy-flux *-algebra that is based on trace. This is accomplished by assu...

Little is known about the epidemiology of Cryptosporidium in Jordan and no genotyping studies have been conducted on Cryptosporidium isolates from humans or animals from Jordan. Genotyping of 44 Cryptosporidium isolates from Jordanian children at the 18S rRNA locus and a unique diagnostic locus identified four Cryptosporidium species; C. parvum (22), C. hominis (20), C. meleagridis (1) and C. c...