Where are the zeroes of a random <i>p</i>-adic polynomial?

The Probability That a Random Monic p-adic Polynomial Splits

Zeroes of the Jones polynomial

We study the distribution of zeroes of the Jones polynomial VK (t) for a knot K . We have computed numerically the roots of the Jones polynomial for all prime knots with N 6 10 crossings, and found the zeroes scattered about the unit circle |t|=1 with the average distance to the circle approaching a nonzero value as N increases. For torus knots of the type (m; n) we show that all zeroes lie on ...

Reflection for the undergraduate on writing in the portfolio: where are we now and where are we going?

Introduction: The portfolio can be seen as a tool for assessmentof a variety of learning activities that differ in content, usage, andassessment. The portfolio not only meets the learner’s educationalneeds but also the political and public reassurance demand thatthe health professional has achieved the required competency ofthe curriculum that allows him or her to practice safely with orwithout...

Approximating the Number of Zeroes of a GF[2] Polynomial

We develop a probabilistic polynomial time algorithm which on input a polynomial g(x 1 ; : : : ; x n) over GFF2], and , outputs an approximation to the number of zeroes of g with relative error at most with probability at least 1 ? .

extensions of some polynomial inequalities to the polar derivative

توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی