2 papers
math.NA2012
An Arithmetic and Geometric Mean Invariant
John Lindgren, Vibeke Libby
A positive real interval, [a, b], can be partitioned into sub-intervals such that sub-interval widths divided by sub-interval "average" values remains constant. That both Arithmeti…
math.NT2010
A Fast Algorithm for Determining the Existence and Value of Integer Roots of N
Vibeke Libby
We show that all perfect odd integer squares not divisible by 3, can be usefully written as sqrt(N) = a + 18p, where the constant a is determined by the basic properties of N. The…