Rare K+ Decays from Experiment E787

This paper presents the latest results from experiment E787, at Brookhaven National Laboratory, on K+ -> pi nu/nubar and radiative K+ decays. The result for K+ -> pi nu/nubar uses data collected in runs taken during 1995, 1996 and 1997. In addition, we discuss plans for future measurements of K+ -> pi nu/nubar.Comment: Invited talk at Heavy Quarks at Fixed Target, Rio De Janeiro, Oct. 9-12, 200

A Note On Transversals

Let $G$ be a finite group and $H$ a core-free subgroup of $G$. We will show that if there exists a solvable, generating transversal of $H$ in $G$, then $G$ is a solvable group. Further, if $S$ is a generating transversal of $H$ in $G$ and $S$ has order 2 invariant sub right loop $T$ such that the quotient $S/T$ is a group. Then $H$ is an elementary abelian 2-group.Comment: 7 page

Recent results from CLEO on Charm and Bottom hadrons

In this talk, I present new results from CLEO on charm and bottom hadrons. Most of the talk will be on the issue of the B semileptonic branching fraction, its connection to the number of charm quarks produced in the decay of a b quark, and the rate for the b -> ccbars transitionComment: Invited talk at "Production and decay of hyperons, charmed and beauty hadrons", Sept. 5-8, Strasbourg, France. Latex, 7 pages, figures include

Solvable and Nilpotent Right Loops

In this paper the notion of nilpotent right transversal and solvable right transversal has been defined. Further, it is proved that if a core-free subgroup has a generating solvable transversal or a generating nilpotent transversal, then the whole group is solvable.Comment: arXiv admin note: substantial text overlap with arXiv:1307.539

Estimation of extracellular lipase enzyme produced by thermophilic bacillus sp. isolated from arid and semi-arid region of Rajasthan, India

Thermophilic organisms can be defined as microorganisms which are adapted to live at high temperatures. The enzymes produce by thermophilic bacteria are capable of catalyzing biochemical reactions at high temperatures. Thermophilic bacteria are able to produce thermostable lipase enzymes capable of degradation of lipid at temperatures higher than those of mesophilic bacteria. Therefore, the isolation of thermophilic bacteria from natural sources and their identification are quite useful in terms of discovering thermophilic lipase enzymes. Due to great temperature fluctuation in hot arid and semi-arid regions of Rajasthan, this area could serve as a good source for new thermophilic lipase producing bacteria with novel industrially important properties. The main objective of this research is the isolation and estimation of industrially important thermophilic lipase enzyme produced by thermophilic bacteria, isolated from arid and semi-arid region of Rajasthan. For this research purpose, soil samples were collected from Churu, Sikar and Jhunjunu regions of Rajasthan. A total of 16 bacterial strains were isolated, and among these bacterial isolates only two thermophilic lipase producing bacteria were identified. The thermophilic lipase enzyme was estimated by qualitative and quantitative experiments. The isolate was identified as Bacillus sp. by microscopic, biochemical and molecular characterization. The optimum enzyme activity was observed at pH 8, temperature 60°C and 5% salt concentration at 24 hrs time duration. Lipases are useful in a variety of biotechnological fields such as food and dairy (cheese ripening, flavour development), detergent, pharmaceutical (naproxen, ibuprofen), agrochemical (insecticide, pesticide) and oleochemical (fat and oil hydrolysis, biosurfactant synthesis) industries. Lipases can be further used in many newer areas where they can serve as potential biocatalysts. 
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Dynamics of Individual Specialization and Global Diversification in Communities

We discuss a model of an economic community consisting of $N$ interacting agents. The state of each agent at any time is characterized, in general, by a mixed strategy profile drawn from a space of $s$ pure strategies. The community evolves as agents update their strategy profiles in response to payoffs received from other agents. The evolution equation is a generalization of the replicator equation. We argue that when $N$ is sufficiently large and the payoff matrix elements satisfy suitable inequalities, the community evolves to retain the full diversity of available strategies even as individual agents specialize to pure strategies.Comment: 13 pages, Late