Browsing Mathematics Senior Individualized Projects by Title
Now showing items 3655 of 254

Creation and Evaluation of Probability Models for March Madness
(Kalamazoo College, 2016)For years, the NCAA Tournament has fascinated fans due to its unexpected outcomes. For this reason, an accurate prediction of the tournament bracket is considered to be a very respectable accomplishment. As a result, ... 
Criticism of the Theory of Transfinite Numbers
(Kalamazoo College, 1970)This paper will attempt to deal with two aspects of Cantor's achievement. First it will give a brief survey of the theory of transfinite numbers, pointing out its use of the.axiom of choice which historically has been the ... 
Crystallographic Groups
(Kalamazoo College, 1969)My original purpose for this paper was to establish rigorously that there are seventeen and only seventeen crystallographic groups in the plane. I had hoped that by using the elegant sorting procedure outlined by ... 
Cubic Spline Analysis
(Kalamazoo College, 1993)The main focus of my Senior Individualized Project was to examine techniques of mathematical numerical analysis including iteration, interpolation, numerical integration and linear systems in preparation for The Society ... 
Cyclic Properties of Fibonacci Numbers
(Kalamazoo College, 1976)This paper is a summary of its author's attempts to explore various numbertheoretic properties of the Fibonacci numbers. This exploration was. conducted with virtually no use of published accounts of the subject. In this ... 
Data Science : The Data Tidying Process with R
(Kalamazoo College, 2018)An enormous amount of data is generated every day. All of this data can be analyzed using concepts from data science. Data science is the science of extracting information from a data set to gain knowledge (Nongxa, 2017). ... 
Delphi  A General Purpose Research Data Editing Language
(1980)Data editing is the process of checking data for possible inaccuracies. This paper describes possible types of data edits, discusses the underlying theory . used in generating a "complete set of edits" and the finding and ... 
Design
(Kalamazoo College, 1965) 
Developable Surfaces: Properties, Representations and Methods of Design
(Kalamazoo College, 1992)General Motors is interested in designing developable surfaces using computers. A developable surface is one that can be formed by bending a sheet of thin planar material. Developable surfaces, then, may be formed from ... 
Developing Software for Audio to Music Score Conversion
(Kalamazoo College, 2018)The idea of converting audio to music score provides a fascinating perspective of perceiving the music. As the amateur or folk musicians, they may want a more productive music application that can help them create music ... 
Development of the Alexander Polynomial of Single Component Knots via Siefert Surfaces
(Kalamazoo College, 1997)This document explains the development of the Alexander Polynomial via Seifert Surfaces. To accomplish this, a few topics are considered. As a pseudo Table of Contents, here is a list of what's included. I. Preliminaries ... 
A Development of the Loop Concept
(Kalamazoo College, 19640421)The purpose of this thesis is to present in as lucid a manner as possible, the various properties of the abstract binary system defined as a loop. Special emphasis will be placed on the comparative development of other ... 
The Development, Derivation, and Classical Application of the Utility Function in DecisionTheory
(Kalamazoo College, 1965)This study was made to present a fairly unified and overall view of the utility concept in decision theory. As yet, only a small amount of literature has been presented from the mathematical standpoint, that deals with ... 
A Different Approach to Recurrence Relations: A Combinatorial Proof of the Closed Forms for Linear Recursions
(Kalamazoo College, 2009)Given a third order linear homogeneous recurrence relation, it is possible to find a closed form by using the roots of the characteristic polynomial. This research has yielded a proof for the closed form solution when ... 
Differential Forms
(Kalamazoo College, 1967) 
Discrete Coding
(Kalamazoo College, 1974)This paper is intended to be an introductory exposition, and makes no claim to survey any of the.fields discussed. The mathematical arguments have been exceedingly simple. To a certain extent, this is characteristic of the ... 
Distortion of Type I Error Rate in the Analysis of Variance for NonNormal Data
(Kalamazoo College, 1973)This study is concerned with the comparison of probabilities of type I errors of various error distributions in the oneway analysis of variance. The probability of a type I error using the Fstatisticas obtained for various ... 
The Dynamic Newly Industrializing Countries
(Kalamazoo College, 1980)Twenty years ago the nations of Brazil, Hong Kong, Malaysia, Mexico, Singapore, South Korea and Yaiwan performed only a minor role on the international economic scene. Today, though, after a decade or so of amazing growth, ... 
The Dynamics of Magnetic Flux Lines in TypeII HighTemperature Superconductors
(Kalamazoo College, 1993)My Senior Individualized Project at Argonne's Mathematics and Computer Science Division in the Fall of 1993 focuses primarily on two aspects of the TDGL code's continuing evolution. First, the code must be flexible enough ... 
Ecosystem Modeling : Stability and the Effects of Perturbations on an Ecosystem : Example : Analysis of the Terrestrial Carbon Sequestration Compartment Model
(Kalamazoo College, 2000)My research in the "Ecolab" in the Department of Botany and Microbiology consisted mainly of learning the concepts of system theory and analysis, which I will explain in much more detail throughout the paper. More generally, ...