The partial fraction decomposition method is explored to establish several interesting trigonometric function identities, which may have applications to the evaluation of classical multiple hypergeometric series, trigonometric approximation and interpolation. 1. Outline and introduction Recently, in an attempt to prove, through the Cauchy residue method, Dougall’s theorem (Dougall [6, 1907], se...

Responding to the too-optimistic theology of fellow Arminian, John Taylor, Wesley wrote his lengthy treatise on doctrine original sin. In an optimistic effort make personalist theologians’ works accessible, Methodist theologian Georgia Harkness tersely disdained same in her first major book. She soon found liberal “chastened” by interactions with neo-orthodox opponents and experiences depravity...

I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. Abstract This thesis presents a study of the bias-induced threshold voltage metastability phenomenon of the hydrogenated amorphous silicon (a-Si:H) thin f...

The importance in non-linear mechanics of these limit cycles, or isolated periodic solutions, is well known. It has led to a variety of methods for finding these solutions which yield some information in noteworthy special cases. In Princeton lectures in the fall of 1949, Lefschetz introduced and applied to certain questions the following method: a rotation by a fixed angle a being applied to t...

A revised version of the Speech in Noise (SIN) test was developed by reallocating the recorded test material on the compact disc into different lists (blocks). The goal was to increase the equivalence and reliability of the test blocks to enhance their usefulness in research settings. The Revised Speech in Noise test has four blocks of sentences. Each block comprises twice as many sentences as ...

The three theoretical and historical components of the Standard Model are the exact chiral gauge theory of weak interactions, electroweak unification, and the Higgs mechanism for spontaneous symmetry breaking. I put into historical perspective my 1958 invention of the first gauge theory of weak interactions, predicting weak neutral currents, and show how the fundamental differences between glob...

A revised version of the Speech in Noise (SIN) test was developed by reallocating the recorded test material on the compact disc into different lists (blocks). The goal was to increase the equivalence and reliability of the test blocks to enhance their usefulness in research settings. The Revised Speech in Noise test has four blocks of sentences. Each block comprises twice as many sentences as ...