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Oxygen Consumption By Acrylamide Polymerization For Rapid Screening Of Chemotherapeutic Agents, Richard A. Johnson '74

Fenwick Scholar Program

This paper describes a screening process used to determine the overall effect of anti-cancer drugs on a tumor more rapidly than other established methods. This technique measures the rate of oxygen consumption by cells when a solution of acrylamide and bisacrylamide is polymerized.

A Characterization Of Metric Spheres In Hyperbolic Space By Morse Theory, Thomas E. Cecil

Mathematics and Computer Science Department Faculty Scholarship

Let Mⁿ be a differentiable manifold of class C^¥. By a Morse function f on Mⁿ, we mean a differentiable function f on Mⁿ having only non-degenerate critical points. A well-known topological result of Reeb states that if Mⁿ is compact and there is a Morse function f on Mⁿ having exactly 2 critical points, then Mⁿ is homeomorphic to an n-sphere, Sⁿ (see, for example, [3], p. 25).

In a recent paper, [4], Nomizu and Rodriguez found a geometric characterization of a Euclidean n-sphere S^{n Ì …}

Three Papers In Mathematical Logic, Henry P. Miranda '74

Fenwick Scholar Program

Three papers were written in partial fulfillment of the requirements for the Fenwick Scholar Program 1973-1974:

An Algebraic Proof of the Completeness of Sentential Logic proves the completeness of sentential logic using concepts of Boolean structures.

Godel's Proof of the Incompleteness of Axiomatic Number Theory discusses Godel's Incompleteness Theorem as a landmark in the Foundations of Mathematics which has meaning for mathematicians, logicians, and philosophers alike.

The Independence of the Continuum Hypothesis discusses the nature of independence proofs and briefly describes the boolean valued logic used to obtain the independence results.