we prove that for $p>7$ there are‎ ‎[‎ ‎p^{4}+2p^{3}+20p^{2}+147p+(3p+29)gcd (p-1,3)+5gcd (p-1,4)+1246‎ ‎] ‎groups of order $p^{8}$ with exponent $p$‎. ‎if $p$ is a group of order $p^{8}$‎ ‎and exponent $p$‎, ‎and if $p$ has class $c>1$ then $p$ is a descendant of $‎p/gamma _{c}(p)$‎. ‎for each group of exponent $p$ with order less than $‎p^{8} $ we calculate the number of descendants of o...

The present work aimed to increase the thermostability and pH stability of lipase produced from Penicillium chrysogenum SNP5 using different anionic carriers. The immobilized lipase from the fungus on 1.25% sodium alginate beads and 12% polyacrylamide beads retained 37.28 and 59.75% immobilization efficiency, respectively, on 3 mm bead size. Immobilized lipase on calcium alginate and polyacryla...

Sarcoidosis, Blau syndrome and Crohn's disease are complex disorders, characterised by granulomatous inflammation affecting a variety of organs. Mutations of the CARD15 gene, on chromosome 16, have been shown to contribute significantly to Crohn's disease and to cause Blau syndrome. These factors prompted the current authors to study CARD15 mutations in sarcoidosis. A total of 138 families were...

We review in this paper some recent yet fundamental results on evaluating queries over probabilistic databases. While one can see this problem as a special instance of general purpose probabilistic inference, we describe in this paper two key database specific techniques that significantly reduce the complexity of query evaluation on probabilistic databases. The first is the separation of the q...