With considering a ‘triangle of three major currency pairs’, there is a tiny difference between multiplication of exchange rate for the first two currency pairs and the third. To discover whether this little difference can lead to a neutral arbitrage or not, I took portfolios of 35 baskets of three major currency pairs(combinations of all 7 major currencies). There are eight approaches (differe...

with considering a ‘triangle of three major currency pairs’, there is a tiny difference between multiplication of exchange rate for the first two currency pairs and the third. to discover whether this little difference can lead to a neutral arbitrage or not, i took portfolios of 35 baskets of three major currency pairs(combinations of all 7 major currencies). there are eight approaches (differe...

the probability that the commutator of two group elements is equal to a given element has been introduced in literature few years ago. several authors have investigated this notion with methods of the representation theory and with combinatorial techniques. here we illustrate that a wider context may be considered and show some structural restrictions on the group.

A fluorescence assay was used to measure the processivity of Escherichia coli recBCD enzyme helicase activity. Under standard conditions, recBCD enzyme unwinds an average of 30 +/- 3.2 kilobase pairs (kb)/DNA end before dissociating. The average processivity (P obs) of DNA unwinding under these conditions is 0.99997, indicating that the probability of unwinding another base pair is 30,000-fold ...

One can build an operatorial model for freeness by considering either the right-handed or left-handed representation of algebras operators acting on free product underlying pointed Hilbert spaces. Considering both at same time, that is, computing distributions in algebra generated left- and representations, led Voiculescu 2013 to define study bifreeness and, sequel, triggered development extens...

In this article we introduce and study the concept of characteristic degree of a subgroup in a finite group. We define the characteristic degree of a subgroup H in a finite group G as the ratio of the number of all pairs (h,α) ∈ H×Aut(G) such that h^α∈H, by the order of H × Aut(G), where Aut(G) is the automorphisms group of G. This quantity measures the probability that H can be characteristic ...

In this paper, several experiments on F0 transformation within the voice conversion framework are presented. The conversion system is based on a probabilistic transformation of line spectral frequencies and residual prediction. Three probabilistic methods of instantaneous F0 transformation are described and compared. Moreover, a new modification of inter-speaker residual prediction is proposed ...