Month: January 2015

Convergence of arithmetic and geometric means of the nth root of a sequence of certain binomial coefficients
Introduction Blaise Pascal first introduced the triangle that would later come to hold his name [1], although in modern notations the socalled binomial coefficient denoted by $n \choose k$ may be more familiar to the reader. We shall prove a few interesting results regarding a sequence of the $n$th root of means of the set […]

Real number approximations in finite space with IEEE 754
Jeffrey Quesnelle Computer systems often need to represent real numbers as a part of their operation, but how to encode these numbers in fixed, finite space is nontrivial. If the size of the variable in question is bounded then socalled fixed point arithmetic can be used, treating both sides of the decimal point as integer […]