The paper contains generating cyclic codes of length , comparing their parameters, and sorting out better ones.
The attached link is a group project in Representation Theory class offered by Eric Egge in Carleton, Spring 2015:Character Table.
The paper contains character tables of , rotation of a cube, and .
The attached link is a group project in Chaotic Dynamics Independent Studies in Spring 2015: Mandelbrot. The study and the project were under the supervision of Rafe Jones.
It introduces filled-in Julia set, Mandelbrot set and their properties. Plus, it covers graphical analysis of Mandelbrot set as well.
The attached link is a group project underwent in Analytic Number Theory class in Carleton College: Kummer. The course was offered by Rafe Jones in Winter 2014.
It proves Kummer’s Lemma, that is “Every unit of is of the form of where and .” Plus, it introduces Cyclotomic units and presents an example.
The attached link is Senior Integrative Project in Carleton College that my group and I did over last term: COMPSFINAL. The project was underwent over Fall 2014 and Winter 2015 under supervision of Allison Tanguay.
The main purpose of the paper is to introduce the idea of Lebesgue measure and -dimensional Hausdorff measure, fractals and their behaviors, non-fractal sets and related conjecture.
Lee’s Challenge #1:
Consider an arbitrary non-negative real number, namely . Can we always construct a set of which strict Hausdorff dimension is ?