Representations of SO(4,2;R) are constructed using 4 x 4 and 2 x 2 matrices with elements in H' ⊗ C . Using 2 x 2 matrix representations of C and H', the 4 x 4 representation is interpreted in terms of 16 x 16 real matrices. Finally, the known isomorphism...
Learning easily understandable decision rules from examples is one of the classic problems in machine learning. Most learning algorithms for this problem employ some variation of a greedy separate-and-conquer algorithm. In this paper, we describe a system called LERILS that learns highly accurate and comprehensible rules from examples using a...
College Algebra is a prerequisite for calculus and is thus an important stepping stone in the careers of STEM-intending undergraduates. However, College Algebra has low pass rates across the United States, interrupting students’ pathways to success. To address this concern, a research-oriented university in the Northwest United States restructured its...
In this paper, we derive the fundamental solution to the heat equation with a discontinuous diffusion coefficient in the free space, with an absorbing boundary, and with a reflecting boundary. We use the fundamental solution with an absorbing boundary to make connections with the transition probability density of absorbed Skew...
Knot Theory: In Imitation of Lewis Thomas is a collection of 14, 1200-word essays written in the style of Lewis Thomas, a physician who regularly contributed to The New England Journal of Medicine. His 1200-word column, "Notes of a Biology Watcher," ran from 1971 - 1980. The resulting compilations collectively...
In this thesis, we explore a general method for constructing path sums in a discrete spacetime using a jump amplitude matrix. This is accomplished by deriving a composition law that relates jump amplitudes to the propagator. Then properties of causal sets are used to average this relationship over sprinklings. This...
Within the past decade, the continued-scaling of CMOS processes and improvements in industry mixed-signal integrated-circuit designs have enabled a rapid decrease in the cost, form-factor, and power for point-of-care diagnostics and electrochemical instrumentation. Similarly, advances in low-power RF designs have prompted entire System-on-Modules supporting widely varied Internet-of-Things (IoT) applications. The...