x . In the case that k = n− 1, the polynomial Pn,k(x) takes the form Pn,n−1(x) = (x+ 1) n − x. If n is not a prime, Pn,n−1(x) is reducible over Q. If n = p is prime, the polynomial Pn,n−1(x) = Pp,p−1(x) is irreducible as Eisenstein’s criterion applies to the reciprocal polynomial xPp,p−1(1/x). This note concerns the irreducibility of Pn,k(x) in the case where 1 ≤ k ≤ n− 2. Computations for n ≤ ...

In the yeast Saccharomyces cerevisiae, small chromosomes undergo meiotic reciprocal recombination (crossing over) at rates (centimorgans per kilobases) greater than those of large chromosomes, and recombination rates respond directly to changes in the total size of a chromosomal DNA molecule. This phenomenon, termed chromosome size-dependent control of meiotic reciprocal recombination, has been...

We present here a 16-year-old Turner syndrome patient with a complex karyotype that includes a maternally-inherited balanced translocation between chromosomes 4 and 16 and mosaicism of the isochromosome Xq10. Her karyotype was 45,X,t(4;16) (p15.2;p13.1)[9]/46,X,i(X) (q10),t(4;16)(p15.2;p13.1) [91]. The karyotype of her father was normal, whereas that of her mother had the same balanced transloc...

Significant values of a combinatorial count need not fit the recurrence for the count. Consequently, initial values of the count can much outnumber those for the recurrence. So is the case of the count, Gl(n), of distance-l independent sets on the cycle Cn, studied by Comtet for l ≥ 0 and n ≥ 1 [sic]. We prove that values of Gl(n) are nth power sums of the characteristic roots of the correspond...

An experiment was designed and carried out to study the friction deformation of carbon fibre tow under sliding transverse orientation fibres. A continuous frictional force measured in reciprocal tests over a length about one width tow, as well incremental 4 mm with stop after each millimetre measure topography contact glass plate. Although coefficient depended on initial state first millimetres...

the aim of this paper is to introduce the concepts of fuzzy upper and fuzzy lower almost continuous, weakly continuous and almost weakly continuous multifunctions. several characterizations and properties of these multifunctions along with their mutual relationships are established in $l$-fuzzy topological spaces

Continuous probability distributions can handle and express different data within the modeling process. be used in disclosure evaluation of risks through a set well-known basic risk indicators. In this work, new compound continuous extension reciprocal Rayleigh distribution is introduced for analysis. Some its properties including are derived. The estimation parameters carried out via technique...