Then, f (x) = 0 has a solution in Ω. For n = 1, Theorem 1.1 reduces to the well-known intermediate-value theorem. Miranda proved his theorem using the Brouwer fixed point theorem. Using the Brouwer degree of a mapping, Vrahatis gave another short proof of Theorem 1.1 (see [2]). Following this proof it is easy to see that Theorem 1.1 is also true, if L is dependent of i; that is, Ω can also be a...

Comparisons of gene orders between species permit estimation of the rate of chromosomal evolution since their divergence from a common ancestor. We have compared gene orders on three chromosomes of Drosophila pseudoobscura with its close relative, D. miranda, and the distant outgroup species, D. melanogaster, by using the public genome sequences of D. pseudoobscura and D. melanogaster and appro...