Category: math

Penguicon 2015: Scheduling
I’ll be at Penguicon this weekend, Michigan’s largest scifi/open source convention! I’ll be giving a talk about my upcoming research paper “Scheduling a conference to minimize RSVP conflicts” which is currently undergoing peer review. Here are the slides for my talk: Scheduling: The first academic paper about Penguicon A preprint of the actual paper: Scheduling a conference to […]

Foundations of the golden ratio base
Positional numeration systems have come to dominate mathematics, with the ubiquitous baseten number system used nearly universally. In addition to baseten, other bases such as basetwo and basesixteen have found widespread usage (for example in computer engineering). We review a particularly novel take on the positional numeration system: the golden ratio base, first introduced by […]

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 […]

Penguicon 2013 Talk
Thanks to everyone who came out to my talk “How I Lost 130 Pounds Without Being Miserable” at Penguicon! Here are the slides from the presentation: penguicon_talk_2013.pptx

Modeling weight loss with differential equations
This comes from a talk I’m giving at Penguicon 2012. The talk in general is about weight loss and getting healthy but part of it involves doing some predictive modeling of future weights based on calorie counting. Consider the question “if I eat X number of calories a day, will I gain or lose weight?”. […]