Browsing Mathematics Senior Individualized Projects by Title
Now showing items 135154 of 249

Logic in Practice: ModelTheoretic Completeness
(Kalamazoo College, 1971)Model theory is unusual as a field where the abstract and ''impractical" machinery of logic has concrete applications. The abstract quality of logic lends a generality to model theory which is a real asset, allowing a ... 
A Logical Development of Arithmetic as Based on the Theories of Guiseppe Peano and Gottlob Frege
(Kalamazoo College, 1969)The search for a foundation from which all of mathematics can be developed through prescribed motions is a pursuit that in the past has always failed. Even while concepts today considered elementary were causing arguments ... 
LongRun Optimal Economic Growth: Turnpike Theorems
(Kalamazoo College, 1977)My paper is divided into four sections. The first three sections each deal with a growth model, its maximum growth path, and a Turnpike Theorem associated with1 this path, Section One deals with the von Neumann inputoutput ... 
LongTerm Ecological Research at the Kellogg Biological Station: An Internship with Applications of Time Series Analysis
(Kalamazoo College, 2002)My title at Kellogg Biological Station was "data analysis intern" where I worked under the supervision of the Data Manager, Tim Bergsma during the fall of 2001 (October through December). Generally I went every Monday ... 
Machine Translation of German to English
(Kalamazoo College, 1967)The purpose of this study was to look into the possib1l1ties of translating oonversat1onal German sentences into English sentences. Some computers are capable of translating upwards of 50,000 words per hour, while ... 
The Mapper Algorithm for the Qualitative Analysis of Drug Molecules
(Kalamazoo College, 2015)The world of computational drug design has seen tremendous progress in the last 40 years. Most of these methods rely on quantitative techniques through quantitative structure activity relationships. This approach works ... 
Mathematical Aspects in the Freeway Merging Situation
(Kalamazoo College, 1967) 
Mathematical Existence in the Theory of Sets
(Kalamazoo College, 1963)The purpose of this paper is to trace some of the developments arising directly out of the crisis in set theory, in terms of the various views they embody of the nature and existence of their subject matter. Three viewpoints ... 
Mathematical Linguistics and the Rationalists
(Kalamazoo College, 1968)The purpose of this paper is to make clear the position of the Rationalist school of language study and its reliance on machinery provided by the Foundation of Mathematics. Thus the main thrust of this paper is at the ... 
Mathematical Proportions in Modern Architecture
(Kalamazoo College, 1965)This thesis combines the history of symmetry and proportion with a practical application of each to modern architecture. This application of knowledge and skills gained through research was introduced in the hope that ... 
Mathematical Statistics as used in the Construction of Statistical Models at Upjohn
(Kalamazoo College, 1987)In the following paper, I will explain, in some detail, the theoretical origins of the basic statistics needed to understand the techniques of statistical model building. I was given the opportunity to learn what I have ... 
Mathematics as a Liberal Art: One Foundation for Writing Well
(Kalamazoo College, 1996)I believe one's ability to write well comes, in the end, from careful study of language and of writing itself. I also believe that various educational backgrounds can serve as a foundation for such study. In this paper, ... 
Maximum Entropy Spectral Analysis With Particular Interest in Applications to Seismic Waves
(Kalamazoo College, 1976)This work was part of a collaborative study with the Geophysics section of the Department of Terrestrial Magnetism (DTM) of the Carnegie Institution of Washington. The object of the study was to carry out a pilot investigation ... 
Methods for Path Optimization in Biomolecules
(Kalamazoo College, 2004)Path optimization can be a very important tool in many aspects. It can be used in many different fields of study for many different types of path. In general, path optimization involves improving a path according to a ... 
Minimizing FlowTime Variance on a Single Machine
(Kalamazoo College, 1985)For my Senior Individualized Project, I worked for the Mathematics and Science Department at GMI Engineering and Management Institute in Flint, Michigan. I worked with Dr. s. Chakravarthy, a teacher at the school, Who ... 
Mixed Modeling of the Leatherback Turtle NestSite Fidelity at Playa Grande, Costa Rica
(Kalamazoo College, 2003)Not much is known about the leatherback turtle's (Dermochelys coriacea) nesting behaviors, specifically, the degree of the leatherback turtle's philopatry (nestsite fidelity), which other sea turtles exhibit. Therefore, ... 
My Most Unforgettable Characters: Representations of the ThirtyTwo Crystallographic Point Groups
(Kalamazoo College, 1970)The elements of symmetry or covering operations of a particular point group under a defined multiplication define a group. I have chosen to define these thirtytwo basic point groups and to find all of the irreducible ... 
Nest Site Fidelity of Leatherback Turtles (Dermochelys coriacea) on Playa Grande, Costa Rica: A Statistical Analysis of Individual Nest Site Selection
(Kalamazoo College, 2002)The current conservation method of relocating doomed leatherback sea turtle (Dermochelys coriacea) clutches of eggs is often used on nesting grounds to save clutches located in beach areas where they would likely be lost ... 
A New Axiomization of the Variety of Trimedial Quasigroups
(Kalamazoo College, 2006)We present a new axiomization of trimedial quasigroups. We formulate this axiomization with the assistance of the automated deduction system, OTTER, and present our results in a proof translated from OTTER's results. 
New Labs for College Level Courses: Linear Algebra I
(Kalamazoo College, 2005)This project would be three fold: 1 First, I would have to identify the ways in which mathematics labs have been created in the past and some new methods that are being experimented with at the college level. 2 Next, ...