Browsing Mathematics Senior Individualized Projects by Title
Now showing items 159178 of 249

Numerical Tools for Describing Musical Compositions
(Kalamazoo College, 2012)The goal of this paper is to apply the methodologies of statistical mechanics to develop flexible tools for use in computational musicology. Classical statistical mechanics is the study of extremely informationrich ... 
Object Oriented Analysis of TACT Accelerometer Calibration Tool
(Kalamazoo College, 2003)In the summer of 2002 I was employed by the University of Michigan Research Institute, Biosciences division to create a program that would aid the process of accelerometer calibration for transducers used in crash testing. ... 
Odd Perfect Numbers
(Kalamazoo College, 19640420) 
On a Generalization of the BestvinaBrady Construction
(Kalamazoo College, 2017)This work builds on work in [1] and [2] to study the homotopy fibre of a map between polyhedral products. The construction itself generalizes the definition of BestvinaBrady group. Here we compute the cellular chain complex ... 
On Curves of Constant Breadth
(Kalamazoo College, 1963)This paper is concerned with figures of constant breadth. When the term constant width is used it is to mean the same as constant breadth. The terms are used interchangeably in the field. To provide a certain amount of ... 
On Fundamental Solutions
(Kalamazoo College, 1969) 
On Green's Function Method For Solving Differeptial Equations
(Kalamazoo College, 1996)This paper was written under the assumption that the reader has been previously exposed to methods for solving ordinary differential equations, linear algebra and some real analysis. Results from other mathematical topics ... 
On The Determination Of Parameters by Means of Functional Inversion
(Kalamazoo College, 2014)This paper attempts to discover how to determine the parameters of a function using the zeroes of the function. Generalizing affine algebraic varieties, we define and develop the locus of a function, to that end. Specific ... 
On von Neumann's Model of an Expanding Economy
(Kalamazoo College, 1966)In the present paper the method of proof is quite different from that in von Neumann's original article. The three proofs of existence herein involve game theory while the original proof involves elements of topology. ... 
One Direction in Mathematical Linguistics: Generative Grammars
(Kalamazoo College, 1971)My interest in mathematical linguistics stems from a curiosity about languages and a desire to be scientific in a study of them. My purpose for an SIP was to learn as much as possible about this field as I could in the ... 
Optimization of the 2.0 Version CBMS II Invoicing / Accounts Receivable / Inventory System at Burroughs Corporation
(Kalamazoo College, 1978)This report will deal mainly with the Invoicing programs and their interfaces (interactions) with the Accounts Receivable, Inventory and General Ledger modules. The Invoicing module provides the user with a method of ... 
The Origin of PointSet Topology
(Kalamazoo College, 1965)I have restricted my researches to the origin of general topology and carried my work past 1900. Within this framework, going back before Cantor's conception of set theory (18791884) is of little specific importance; ... 
Original Date Conversion Study
(Kalamazoo College, 1976)My original assignment was to design the logic for, and write a program in Basic to calculate conversion costs. The easiest and most efficient method of running the conversion costs calculations required the extensive retrieval ... 
Orthogonality and Related Ideas
(Kalamazoo College, 1966)The primary purpose of the following material was to provide a learning experience for the author by involving him in an area in which he had not previously worked, by posing, as a problem to him the explanation of some ... 
Patterns and Statistics on Set Partitions and Restricted Growth Functions
(Kalamazoo College, 2015)We consider partitions π of the set [n] = {1; 2,….., n}and denote the set of these parti tions by _n. We use the notation _ = B1=B2/ : : : =Bk ` [n] to indicate that [n] = ωiBi and call the Bi blocks. If S _ [n] and _ ` ... 
Plot10 Graphics Package
(Kalamazoo College, 1985)The key accomplishment of this SIP is the transformation of the existing pieces into a simple, usable, whole. Prior to the work presented here, PLOT10 was available on the system in what was often called an unusable ... 
A Problem in Business Forecasting
(Kalamazoo College, 1977)The project began with an examination of available forecasting algorithms, and resulted in the picking and programming of one. Due to numerous constraints and different sets of requirements, the programming stage of the ... 
The Problem of the Queens
(Kalamazoo College, 1968) 
Problems in Making Graphic Primitives
(Kalamazoo College, 1983) 
The Production of Steroids at the Upjohn Company: A Simulation
(Kalamazoo College, 1976)I was introduced to the problem which was to receive my attention for the balance of the quarter: the designing of a computer tool which would be of assistance in the scheduling of steroid production. This report contains ...