Lung cancer is the leading cause of cancer-related death in the USA and worldwide causing 160,000 and 1.5 million deaths per year, respectively. Due to the late stage of diagnosis, poor efficacy of chemotherapies (targeted and pleiotropic), and...
In this thesis, we consider several problems relating to cyclic subgroups of the group [mathematical equation]. Each element of [mathematical equation] has a unique representative in one of the two intervals [mathematical equation] and...
Two experiments were designed to investigate the effects of brain damage on source monitoring. Source monitoring is the process of making decisions about the origins of memories. Previous research has demonstrated that source monitoring judgments...
The Euler '-function and Carmichael -function are extremely important in modern number theory, and much work has been devoted to studying the distribution and arithmetic properties of the values of each function. One interesting unresolved question...
Breast -- Cancer -- Tomography. ; Breast -- Cancer -- Imaging. ; Microwave imaging in medicine. ; Breast -- Electric properties. ; Breast Neoplasms -- diagnosis. ; Diagnostic Imaging -- methods.
Polynomials. Finite fields (Algebra). Algebraic functions. Number theory.
The ring of univariate polynomials over a finite field shares many foundational arithmetic properties with the ring of rational integers. This similarity makes it possible for many problems in elementary number theory to be translated 'through the...
In this thesis we look at several problems that lie in the intersection between combinatorial and multiplicative number theory. A common theme of many of these problems are estimates for and properties of the smooth numbers, those integers not...
Let K be the function field over a finite field of odd order, and let H be a definite quaternion algebra over K. If Α is an order of level M in H , we define theta series for each ideal I of Α using the reduced norm on H. Using harmonic analysis...
Musical intervals and scales -- Psychological aspects. ; Music -- Psychological aspects. ; Chords (Music) -- Psychological aspects. ; Stability.
In Western tonal music, the major mode is associated with positive emotions, and the minor mode is associated with negative emotions. Although this is a highly salient distinction, it is poorly understood. In 9 experiments, participants made...
The study of twin primes gives rise to several famously difficult problems in number theory--in fact, we still cannot definitively say whether there are infinitely many twin primes. In this work, we consider a related problem, namely: What is the...
Our daily lives are pervaded by sounds, predominantly speech, music, and environmental sounds. We readily recognize and categorize such sounds. Our understanding of how the brain so effortlessly recognizes and categorizes sounds is still...
A polynomial is a product of distinct cyclotomic polynomials if and only if it is a divisor over [Special characters omitted.] [x ] of xn - 1 for some positive integer n. In this thesis, we will examine two natural questions concerning the divisors...