Now showing items 21-40 of 254

    • The Development, Derivation, and Classical Application of the Utility Function in DecisionTheory 

      Wild, Gary Lauren (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 ...
    • Algorithms 

      Pirog, Diane Carole (Kalamazoo College, 1966)
      This paper is concerned with the general problem of theorem proving within a first order predicate logic. The topic was chosen as a result of simultaneous but separate interests in symbolic logic and Computer sciences. ...
    • Orthogonality and Related Ideas 

      Warner, John W. (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 ...
    • Twelfth Grade Mathematics: A Summary of Changes and a Review of New Possibilities 

      Pifer, James Wright (Kalamazoo College, 1966)
      This paper evolved from my desire to learn more about new reforms in secondary school mathematics. Through conversations with Dr. Calloway, I decided that the twelfth grade offered the greatest number of possibilities. ...
    • Programming the IBM 1620 Digital Computer to Bid Contract Bridge 

      Locke, Richard W. (Kalamazoo College, 1966)
      It may be of interest to the reader to understand the goal of this project, if indeed, there was any one goal. The project was not undertaken in order to prove any hypothesis or reach any profound conclusions . It was ...
    • The Intuitionist Reconstruction of Mathematics 

      Nussbaum, Mitchell Steven (Kalamazoo College, 1966)
      The intent of this paper is to indicate some of the ways in which mathematics may be developed under intuitionist requirements. In Chapter 2, real numbers are developed informally, following Heyting 1956. In later chapters ...
    • On von Neumann's Model of an Expanding Economy 

      Howard, James M. (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. ...
    • Non-Associative Number Theory: Meditations Upon an Article by T. Evans 

      Ionta, Robert W. (Kalamazoo College, 1966)
      The course of' learning tor a college math student is a search for unity. Throughout his four years of study, he is constantly trying to organize vectors, groups, differentials, integrals, and the like, into a meaningful. ...
    • The Sematic Definition of Truth in Formalized Languages 

      Huddlestone, John (Kalamazoo College, 1966-05-05)
      In this paper I have attempted to survey the problem of defining the truth set in formalized languages. Although the intuitive conceptions involved are fairly simple, the technical requirements of the definition are ...
    • A Programmed Job Shop Simulator 

      Grandjean, Gordon (Kalamazoo College, 1967)
      This project has four main purposes. First, it was written to give the area engineers within the Upjohn Company a valuable tool for decision making concerning the job shops which they direct. Second, it is to ...
    • Mathematical Aspects in the Freeway Merging Situation 

      Nelson, Diane Alice (Kalamazoo College, 1967)
    • Machine Translation of German to English 

      Hall, William James (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 ...
    • Information Theory 

      Gotts, Terry Lee (Kalamazoo College, 1967)
      This is a purely expository paper. The concepts come primarily from Shannon's intuition-based proofs and Khinchlo's more rigorous ones; all definitions come from these sources. Intermediate steps and some short proofs ...
    • Differential Forms 

      Merchant, Joseph Leslie (Kalamazoo College, 1967)
    • The Structural Theorems on Infinite Abelian Groups 

      Sambo, Abdussalami Abubakar (Kalamazoo College, 1967)
      General Abelian group theory is a branch of algebra that has achieved several satisfactory structural theorems. The aim of this paper is to discuss the most important of these theorems so as to give an overview of this ...
    • A Gernalized Questionnaire Analyzer Program Specifically Used for the Danforth Study 

      Rose, Jonathan Francis (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 ...
    • A Comparison of Two "New Math" Geometry Texts and the Historical Development of their Foundations 

      Scribner, Charles William (Kalamazoo College, 1967)
      The two "new math" texts which I am comparing in this paper are, The School Mathematics study Group (SMSG) high school geometry text, and the Ball State geometry text. I should qualify the use of "comparing", for I am ...
    • A Study of the nersenne Numbers 

      Wright, Gary John (Kalamazoo College, 1967)
      The purpose of this paper is, as the title suggests, to study the Mersenne numbers. This topic was chosen for, to my knowledge, there exist few papers which deal exclusively with the Mersenne numbers. Rather, there exist ...
    • Solutions of Selected Problems as Posed by Walter Rudin in His Book: "Principles of Mathematical Analysis" 

      Smith, Erick Earl (Kalamazoo College, 1967)
      This paper cannot be read without the accompanying use of the second edition of Walter Rudin's Principles of Mathematical Analysis. The problems and chapters are both numbered in accordance with this book, and I have also ...
    • Mathematical Linguistics and the Rationalists 

      Opie, Lawrence Kenneth (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 ...