ENTERING THE MATRIX

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

Entering the Extranet Era

Combinatorics entering the third millennium

In the later part of the century, attitudes changed. When the 1998 film Good Will Hunting featured a famous mathematician at the Massachusetts Institute of Technology who had won a Fields Medal for combinatorics, many found this somewhat unbelievable.2 However, life followed art in this case when, later in the same year, Fields Medals were awarded to Richard Borcherds and Tim Gowers for work mu...

Women Entering the Legal Profession

Surgery cancellations after entering the operating room

Background Surgery cancellation results in unavailability of the operating room and loss time. We identified the frequency of and reasons for operation cancellations after patients entered the operating room and assessed the preventability of such cancellations. Findings A retrospective chart review of all scheduled surgical procedures proposed under general anesthesia in a period spanning 20...