You are here  Browse Classroom Capsules and Notes   Displaying
1041 - 1050 of 1135    Mengoli`s Series is presented visually .
A wide-ranging discussion of the question in the title of the
paper is presented. The probability of losing in exactly \(n\)
steps of the gambler`s ruin game is investigated. The authors
exhibit two differentiable functions for which the integration
by parts formula does not apply. The author analyzes the motion
of a hollow ball with a viscous fluid center as it slowly rolls
down a slightly inclined plane.  Three new proofs of the fact
that the point \(A\) on the circular arc \(BC\) for which \(AB +
AC\) is maximum is the midpoint of the arc are presented.