Some remarks on computing the square parts of integers

Some Remarks on Prime Factors of Integers

Some remarks on the arithmetic-geometric index

Using an identity for effective resistances, we find a relationship between the arithmetic-geometric index and the global ciclicity index. Also, with the help of majorization, we find tight upper and lower bounds for the arithmetic-geometric index.

Some remarks on time modelling in interactive computing systems

1 Manuscript submitted June 10,2002. This work was supported by ETF grant no.4860, and by grant no.0140237s98 Ministry of Education, Estonia LM is with the Tallinn Technical University, 19086 Tallinn, Estonia, e-mail: [email protected] MM is with the University of Tartu, 50090 Tartu, Estonia, e-mail: [email protected] Abstract Majority of new computer applications and emerging software tec...

SOME REMARKS ON GENERALIZATIONS OF MULTIPLICATIVELY CLOSED SUBSETS

Let R be a commutative ring with identity and Mbe a unitary R-module. In this paper we generalize the conceptmultiplicatively closed subset of R and we study some propertiesof these genaralized subsets of M. Among the many results in thispaper, we generalize some well-known theorems about multiplicativelyclosed subsets of R to these generalized subsets of M. Alsowe show that some other well-kno...

Some remarks on the condition number of a real random square matrix

In this paper we obtain some bounds for the expectation of the logarithm of the condition number of a random matrix whose elements are independent and identically distributed random variables. We also include some examples and extensions to cover the smoothed analysis as well higher order moments.