Mathematics majors at Michigan State University take a "Capstone" course near the end of their undergraduate careers. The content of this course varies with each offering. Its purpose is to bring together different topics from the undergraduate curriculum and introduce students to a developing area in mathematics. This text was originally written for a Capstone course. Basic wavelet theory is a natural topic for such a course. By name, wavelets date back only to the 1980s. On the boundary between mathematics and engineering, wavelet theory shows students that mathematics research is still thriving, with important applications in areas such as image compression and the numerical solution of differential equations. The author believes that the essentials of wavelet theory are sufficiently elementary to be taught successfully to advanced undergraduates. This text is intended for undergraduates, so only a basic background in linear algebra and analysis is assumed. We do not require familiarity with complex numbers and the roots of unity.
This work is a psycho linguistic investigation of the processing of tense (more specifically, the English past tense): When it is interpreted, how it is interpreted, and what it is interpreted with respect to. While there has been a great deal of attention paid to tense in the syntax and semantics literature, little work has been done on the details of the psychological processing of this category. The chief value and contribution of this book is to present a richly detailed in-depth study of the processing of tense in adult comprehension tasks, providing an excellent model of how to conceive of detailed experimental work against a background of sophisticated, deep, and broad linguistic theory. The discussion of the representational issues is deep and informative, and is directly brought to bear on experimental issues. The experiments aim to evaluate whether a hypothesis called "Parsimony," a highly plausible notion that has received tentative experimental support in other domains, is the chief controlling feature of the interpretation of tense. The experimental results presented quite consistently do not confirm the apparent predictions made by Parsimony, but rather tend to be more consistent with another view (which Parsimony is aimed at opposing) which holds that actual structural factors in the syntax of a sentence are a decisive factor. Along the way, the author considers a number of other plausible hypotheses as the experimental results are presented, but evaluating Parsimony remains the chief organizing principle of the line of research presented here.
History of Southwest Kansas and Northwest Oklahoma prior to and during settlement. One family's story of the pioneer experience and a cowboys perspective of the open range from 1879 to 1935.
Traces the ways in which our culture has increasingly become a culture of simulations, and offers strategies for discerning meaning in a world where the difference between what is real and what is simulated has collapsed.
Since the early 1960's, the field of medical imaging has experienced explosive growth due to the development of three new imaging modalities-radionuclide imaging, ultrasound, and magnetic resonance imaging. Along with X-ray, they are among the most important clinical diagnostic tools in medicine today. Additionally, the digital revolution has played a major role in this growth, with advances in computer and digital technology and in electronics making fast data acquisition and mass data storage possible. This text provides an introduction to the physics and instrumentation of the four most often used medical imaging techniques. Each chapter includes a discussion of recent technological developments and the biological effects of the imaging modality. End-of-chapter problem sets, lists of relevant references, and suggested further reading are presented for each technique. - X-ray imaging, including CT and digital radiography - Radionuclide imaging, including SPECT and PET - Ultrasound imaging - Magnetic resonance imaging
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