The U.S. Department of Agriculture (USDA) requires beef abattoir operators to periodically analyze beef carcass sponge samples for levels of Escherichia coli. Additional beef carcass sponge sampling is commonly used by processors to evaluate the efficacy of beef abattoir antimicrobial intervention systems. The USDA sample preparation procedure requires that beef carcass sponge samples be mechan...

Introduction Sessa [9] generalized the notion of commuting maps given by Jungck [2] and introduced weakly commuting mappings. Further, Jungck [3] introduced more generalized commutativity called compatibility. In 1998, Jungck and Rhoades [4] introduced the notion of weakly compatible maps and showed that compatible maps are weakly compatible but converse need not true. Menger [5] introduced the...

In this paper the concept of compatible map in menger space has been applied to prove common fixed point theorem. A fixed point theorem for self maps has been established using the concept of compatibility of pair of self maps.

In this paper, we prove a common fixed point theorem for weakly compatible maps in Menger space which generalizes the result of Kutukcu [6] without appeal to continuity on this space. We also cited an example in support of our result. Mathematics Subject Classification: Primary 47H10, Secondary 54H25

The local structure of homogeneous continua (curves) is studied. Components of open subsets of each homogeneous curve which is not a solenoid have the disjoint arcs property. If the curve is aposyndetic, then the components are nonplanar. A new characterization of solenoids is formulated: a continuum is a solenoid if and only if it is homogeneous, contains no terminal nontrivial subcontinua and...

Erd˝ os conjectured that, given an infinite graph G and vertex sets A, B ⊆ V (G), there exist a set P of disjoint A–B paths in G and an A–B separator X 'on' P, in the sense that X consists of a choice of one vertex from each path in P. We prove, for countable graphs G, the extension of this conjecture in which A, B and X are allowed to contain ends as well as vertices, and where the closure of ...

the objective of this study was to evaluate three methods of estrous synchronization, viz. controlled internal drug releasing device (cidr), intravaginal sponges impregnated with fluogestone acetate (fga), and cloprostenol (estrumate; an analogue of prostaglandin f2α) in nadooshani goats of yazd province, iran.the estrous synchronized does (n = 30 to 33 per treatment), after heat detection, wer...

To date, only one marine sponge pathogen (Pseudoalteromonas sp. strain NW 4327) has fulfilled Koch's postulates. We report the 4.48-Mbp draft genome sequence of this strain, which is pathogenic to the Great Barrier Reef sponge Rhopaloeides odorabile. The sequence provides valuable information on sponge-pathogen interactions, including the mode of transmission and associated virulence factors.

A Menger algebra of 2-place functions over a set Δ is (cf. [5]) a set 6 of functions mapping Δ x Δ into Δ, which is closed with respect to substitution or composition, i.e., has the property that, for any three functions F, G, H belonging to 6, the composite function F{G,H) belongs to 6. Here, F{G,H) is the function assuming the value F(G(x,y), H(x9y)) for each (x,y) in Δ x Δ. The purpose of th...

With the publication of Murray N. Rothbard’s monumental work An Austrian Perspective on the History of Economic Thought in 1995, contemporary Austrian economists have become aware that they are the modern heirs to a grand intellectual tradition. The first fruit of further research in the Austrian tradition was 15 Great Austrian Economists, a small volume edited by Randall G. Holcombe in 1999. I...