Chromosome count on banana root tip squashes

Preparation of Drosophila Polytene Chromosome Squashes for Antibody Labeling

Drosophila has long been a favorite model system for studying the relationship between chromatin structure and gene regulation due to the cytological advantages provided by the giant salivary gland polytene chromosomes of third instar larvae. In this tissue the chromosomes undergo many rounds of replication in the absence of cell division giving rise to approximately 1000 copies. The DNA remain...

Separation of lentil root tip chromosomes by colchicine

The Bkk Root Count in C

The root count developed by Bernshtein, Kushnirenko and Khovanskii only counts the number of isolated zeros of a polynomial system in the algebraic torus (C∗)n. In this paper, we modify this bound slightly so that it counts the number of isolated zeros in Cn. Our bound is, apparently, significantly sharper than the recent root counts found by Rojas and in many cases easier to compute. As a cons...

Improved Budan-Fourier Count for Root Finding

Given a degree n univariate polynomial f(x), the Budan-Fourier function Vf (x) counts the sign changes in the sequence of derivatives of f evaluated at x. The values at which this function jumps are called the virtual roots of f , these include the real roots of f and any multiple root of its derivatives. This concept was introduced (by an equivalent property) by Gonzales-Vega, Lombardi, Mahé i...

The BKK root count in Cn