Browsing Mathematics Senior Individualized Projects by Title
Now showing items 4059 of 249

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, ... 
The Effect of a Spherical Earch Model on a Scenario Generator
(Kalamazoo College, 1991)Two years ago while doing my Career Development at Naval Research Laboratories (NRL), Washington, D.c., I began searching for a SIP internship there that would utilize my mathematical skills as well as the skimpy amount ... 
Elementary Transcendental Functions of a Real and Complex Variable
(Kalamazoo College, 1964)The first chapter contains a description, rather than a development, of the real number system, and ends with some ideas about rational approximation to irrational numbers. This chapter serves primarily as an introduction ... 
An Estimator for the Mean Platelet Lifetime in Humans
(Kalamazoo College, 1974)This project was an attempt to develop a clinical technique for estimating the mean longevity platelets that is relatively independent of any particular model. 
Euclid's Parallel Postulate
(Kalamazoo College, 1965)The development of the paper proceeds chronologically, with a few minor exceptions, from the beginnings of geometry up to the discovery of nonEuclidean geometry, of which a short summary is appended. No knowledge of ... 
An evaluation of Nine Forecasting Techniques
(Kalamazoo College, 1982)This project serves as a part of the research necessary to implement a revision/rewrite of the present UDF (Unit Demand Forecasting) system. Nine different forecasting methods of time series data are being considered. ...