Browsing Mathematics Senior Individualized Projects by Title
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Fast Fourier Transformation in Noise Reduction in Audio Recording
(Kalamazoo College, 2019)Ambient noise is always unwanted during the professional recording whether is speech or instrument. Signalprocessing by Fourier Transformation can play a vital role in greatly reducing the ambient noise in the recording ... 
Finite Markov Chains
(Kalamazoo College, 1978) 
Forecasting the Market for New Products under Development at the Upjohn Company
(Kalamazoo College, 1978)The Upjohn Co. contacted Management· Decision Systems Inc. (MDS) of Weston, Massachusetts concerning the development of a process whereby accurate predictions could be made concerning the probable success or failure of ... 
Fringe Pairs in Generalized MSTD Sets
(Kalamazoo College, 2016)A More Sums Than Differences (MSTD) set is a set A for which A+Aj > jA  A. Martin and O'Bryant proved that the proportion of MSTD sets in {0, 1,…, n} is bounded below by a positive number as n goes to infinity. We ... 
Fundamental Concepts of Category Theory
(Kalamazoo College, 1970)This paper will not go into what is being done in category theory. Its purpose is to give a clear picture of the essential terms of the theory: category, functor and natural transformation. 
Gastrointestinal Permeability of Model Solutes and Halofuginone in the 714 Day Old Chicken
(Kalamazoo College, 1991)In this study, we developed a useful method for determining the absorption kinetics of model permeants and coccidiostats in the chick intestine. The transport barrier of the aqueous boundary layer was quantified and ... 
Gaussian Quadrature
(Kalamazoo College, 1971)There are many such formulas that can be found in any book on numerical methods. However, in this paper, I have dealt only with those quadrature formulas whose abscissae and weight coefficients are not subject to any ... 
Generalizations of the Tonnetz
(Kalamazoo College, 2012)In this paper, we attempt to explore mathematical structures of tonal music from the 18th and 19th centuries. We review the known mathematical/musical structures and, noting lacking features of this geometrical construct ... 
Generalizations of the Ø and µ Functions
(Kalamazoo College, 1969)If you are not a current K College student, faculty, or staff member, email dspace@kzoo.edu to request access to this SIP. 
Generalizations of Triangle Relations to Spherical and Hyperbolic Geometry
(Kalamazoo College, 2018)We generalize relations known in Euclidean geometry to spherical and hyperbolic geometry. First we prove a theorem which produces analogues for certain Euclidean inequalities involving a triangle's circumradius, inradius, ... 
Generalized Linear Mixed Models for Putting Performance on the PGA Tour
(Kalamazoo College, 2015)In golf, putting is considered to be the single most important aspect of the game. With approximately 40 percent of total strokes having been putts in 2013 on the PGA TOUR, it is obvious that putting performance is a ... 
A Generalized Program in Numerical Analysis
(Kalamazoo College, 1965)The first section, "Use of the Program", describes how to do various types of problems with the program. It is written for a person with a minimal knowledge of computer operation and no knowledge of programming. The ... 
Geographic Variation in Healthcare Costs : A Statistical Analysis and Review
(Kalamazoo College, 2014)Geographic variation in the costs of healthcare exists at both the national and regional levels. Studies have shown that the differences in healthcare spending and costs across the United States do not result in better ... 
Geometry on the Surface of the Sphere
(Kalamazoo College, 1984)This paper was originally intended to serve as one section of a larger project designed to assist Dr. Juliet Vogel in her study of mathematically gifted children. Under the notion that mathematically gifted students may ... 
Georg Cantor's MathematicalPhilosophical Theory: Selected Translated Excerpts
(Kalamazoo College, 1970)The three essays that form the body of this paper were translated (from the German) as they appear in Georg Cantors Gesannnelte Abhandlungen (Cantor's collected works), edited by E. Zermelo (page·s 171183, 370377, 440442, ... 
A Gernalized Questionnaire Analyzer Program Specifically Used for the Danforth Study
(Kalamazoo College, 1967)In doing this this thesis I had the privilege of working with the Danforth Foundation in its evaluation of the total experience derived at Kalamazoo College. The greater emphasis was placed on the four years of academic ... 
Grid Networks: The New Computing Infrastructure
(Kalamazoo College, 2002)Grid networks are an evolutionary descendant of both parallel and cluster computing architectures. They have much in common with the electric grid in that processing power is designed to be distributed ubiquitously within ... 
The Group of Recursive Amorphisms of the Universal Random Graph
(Kalamazoo College, 1991)The random graph is an interesting mathematical structure which was discovered by Renyi and Erdos in 1963. The group of the automorphisms of the random graph was studied in depth by Truss in 1985 and turns out to be ... 
Group Representation Theory, Molecular Dynamics, and Vibrations of the Bucky Ball
(Kalamazoo College, 2000)The Bucky Ball, i.e. C60, shaped like a soccer ball, has a great number of symmetries. As it turns out, the symmetries of a structure are intimately linked with its normal modes. After finding these symmetries, we can then ... 
A GroupTheoretical Approach to Voice Leading in Tonal Music
(Kalamazoo College, 2015)In this paper, we will attempt to explore the underlying mathematical structures in tonal music through grouptheoretical models. Drawing from existing neoRiemannian literature and its mathematical/musical structures, ...