suppose $g$ is a finite group, $a$ and $b$ are conjugacy classes of $g$ and $eta(ab)$ denotes the number of conjugacy classes contained in $ab$. the set of all $eta(ab)$ such that $a, b$ run over conjugacy classes of $g$ is denoted by $eta(g)$.the aim of this paper is to compute $eta(g)$, $g in { d_{2n}, t_{4n}, u_{6n}, v_{8n}, sd_{8n}}$ or $g$ is a decomposable group of order $2pq$, a group of...

conclusions by using the normal angle kappa determined in this study, pseudodeviations can be identified more precisely in those who might undergo keratorefractive surgery. results a total of 977 healthy participants who aged 18 to 45 years were included consecutively. the study population consisted of 614 females and 363 males. the average angle kappa was 5.00º ± 1.36º at 240.21º ± 97.17º in m...

We study the strict type assignment for λμ that is presented in [7]. We define a notion of approximants of λμ-terms, show that it generates a semantics, and that for each typeable term there is an approximant that has the same type. We show that this leads to a characterisation via assignable types for all terms that have a head normal form, and to one for all terms that have a normal form, as ...

We consider exact learning or identification of monotone Boolean functions by only using membership queries. It is shown that almost all monotone Boolean functions are polynomially identifiable in the input number of variables as well as the output being the sum of the sizes of the CNF and DNF representations.  2001 Elsevier Science B.V. All rights reserved.

A prefix normal word is a binary word with the property that no substring has more 1s than the prefix of the same length. This class of words is important in the context of binary jumbled pattern matching. In this paper we present results about the number pnw(n) of prefix normal words of length n, showing that pnw(n) = Ω ( 2n−c √ n lnn ) for some c and pnw(n) = O ( 2(lnn) n ) . We introduce eff...

Abstract In a soliton sector of quantum field theory, it is often convenient to expand the fields in terms normal modes. Normal mode creation and annihilation operators can be ordered, their ordered products have vanishing expectation values one-loop ground state. The Hamiltonian however, usually basis which create plane waves. this paper we find Wick map between two orderings. For concreteness...