Suppose F is a field with a nontrivial valuation v and valuation ring Ov, E is a finite field extension and w is a quasi-valuation on E extending v. We study the topology induced by w. We prove that the quasi-valuation ring determines the topology, independent of the choice of its quasi-valuation. Moreover, we prove the weak approximation theorem for quasi-valuations.

The Besicovitch pseudodistance measures the relative size of the set of points where two functions take different values; the quotient space modulo the induced equivalence relation is endowed with a natural metric. We study the behaviour of cellular automata in the new topology and show that, under suitable additional hypotheses, they retain certain properties possessed in the usual product top...

The Besicovitch pseudodistance measures the relative size of the set of points where two functions take different values; the quotient space modulo the induced equivalence relation is endowed with a natural metric. We study the behaviour of cellular automata in the new topology and show that, under suitable additional hypotheses, they retain certain properties possessed in the usual product top...

The Besicovitch pseudodistance measures the relative size of the set of points where two functions take different values; the quotient space modulo the induced equivalence relation is endowed with a natural metric. We study the behaviour of cellular automata in the new topology and show that, under suitable additional hypotheses, they retain certain properties possessed in the usual product top...

SUMMARY QDist is a program for computing the quartet distance between two unrooted trees, i.e. the number of quartet topology differences between the trees, where a quartet topology is the topological subtree induced by four species. The program is based on an algorithm with running time O(n log2 n), which makes it practical to compare large trees. Available under GNU license. AVAILABILITY ht...

In this article, we present the concept of supra paracompact spaces and study its basic properties. We elucidate its relationship with supra compact spaces and prove that the property of being a supra paracompact space is weakly hereditary and topological properties. Also, we provide some examples to show some results concerning paracompactness on topology are invalid on supra topology. Finally...

This paper proposes a novel brushless excitation topology for three-phase synchronous machine based on customary current-controlled voltage source inverter (VSI). The employs simple hysteresis-controller-based current control scheme that enables it to inject armature the stator winding which contains dc offset. offset generates an additional air gap magneto-motive force (MMF). On rotor side, ha...

In this paper, a new cascaded multilevel inverter by capability of increasing the number of output voltage levels with reduced number of power switches is proposed. The proposed topology consists of series connection of a number of proposed basic multilevel units. In order to generate all voltage levels at the output, five different algorithms are proposed to determine the magnitude of DC volta...