relative to a hereditary torsion theory $tau$ we introduce a dimension for a module $m$, called {em $tau$-rank of} $m$, which coincides with the reduced rank of $m$ whenever $tau$ is the goldie torsion theory. it is shown that the $tau$-rank of $m$ is measured by the length of certain decompositions of the $tau$-injective hull of $m$. moreover, some relations between the $tau$-rank of $m$ and c...

Pseudo-analysis is basing on the fact that instead of the usual field of real numbers a semiring is taken on a real interval of the extended real numbers with pseudo operations: pseudo-addition and pseudo-multiplication. Starting from the semiring structure, it is developed by Maslov and his group the so called idempotent analysis, and then in a more general setting (Sugeno, Murofushi, Pap, Kli...

A pseudo-random function is a fundamental cryptographic primitive that is essential for encryp-tion, identiication and authentication. We present a new cryptographic primitive called pseudo-random synthesizer and show how to use it in order to get a parallel construction of a pseudo-random function. We show several NC 1 implementations of synthesizers based on concrete intractability assumption...

struma ovarii is an uncommon highly specialized ovarian teratoma that accounts for less than 5% of mature teratomas. it is composed predominantly of mature thyroid tissue. thyroid tissue is observed in 5%-15% of teratomas; however, to qualify as a struma ovarii tumor, the thyroid proportion must comprise more than 50% of the overall tissue. the combination of pseudo meigs'syndrome and elevation...

In this paper a countable family of new compactly supported non-Haar p-adic wavelet bases in L(Q p ) is constructed. We use the wavelet bases in the following applications: in the theory of p-adic pseudo-differential operators and equations. Namely, we study the connections between wavelet analysis and spectral analysis of p-adic pseudo-differential operators. A criterion for a multidimensional...

Type 316L stainless steel particles were pseudo-sensitized by being heated at 700 degrees C for 100 h under a reduced pressure of 1.3 x 10(-3) Pa. Pseudo-sensitization treatment resulted in the formation of chromium-rich precipitates at the outermost surfaces of the stainless steel particles. The curve for the apparent surface charge density (sigma app) of the pseudo-sensitized particles showed...

The kinetics and isotherm studies of the immobilized lipase and the mechanism of immobilization on chitosan beads and activated chitosan beads with glutaraldehyde were investigated. The effect of glutaraldehyde on porosity of chitosan was evaluated by FESEM analysis. It was observed that the porosity of the carrier which has activated by glutaraldehyde was substantially increased. The validity ...

background dyes are one of the most important industrial pollutants, especially in textile industries. many methods have been proposed in order to remove color from wastewater among which, adsorption is more acceptable due to the ability for its use in the large scale. objectives the objective of this study was to investigate pumice as an inexpensive adsorbent for removal of methylene blue from...