| Department of Mathematics & Computer Science Providence College Howley Hall - 201 |
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| Current Class Enrollment & Syllabi: | ||||
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| MTH 217 | MTH 109 | MTH/CSC 440 | MBA 515 (Tues) | |
| 23 | 26 | 7 | 16 | |
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| Graph of f(x,y) = xy(x2 - y2)/(x2 + y2) & f(0,0) = 0 Result: fxy(0,0) = -1 fyx(0,0) = +1 A counterexample from Advanced Calculus |
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| Curve-fit result from my bio-medical research using a system of non-linear differential equations |
Education
B.S. Columbia University (School
of Engineering & Applied Sciences), 1967
Sc.M. Brown University (Applied Mathematics), 1969
Ph.D. Brown University (Applied Mathematics), 1972
Research Interests
Medical Statistics especially related to diagnosis of diseases, Numerical Analysis, Differential Equations, Computer Graphics
| Most Recent Publication:
Reference Values: Genesis and the Distributions that Describe Them by Horace F. Martin, MD and Richard Goldstein, PhD, Inkwater Press, Portland, Oregon - July 2007. ISBN-10 1-59299-293-5 |
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In laboratory data, the distributions are skewed and only rarely are they normal, Gaussian or bell-shaped. The authors describe what the great mathematicians of the past did about skewness: Poisson, Quetelet, Carnot, and Laplace, each, treated the problem differently. In modern times, Gram, Charlier, Edgeworth and Pearson made attempts to systematize the treatment of skewed data. Recently, Box, Cox, Johnson, Moestellar and Tukey devised transformations of skewed data to bell-shaped curved. The authors identify distribution functions that are flexible and fit both normal and skewed data. In addition the authors present a totally a priori calculation of a normal range or normal value or reference interval that encompasses not only the biological variations but also the analytical variables. |
Article in Providence
College Spectrum
Teaching Interests
Upper level courses have been in Numerical Analysis, Mathematics of Science, Operations Research, Simulation, and Advanced Calculus. Note that at Providence College our primary purpose, even as full professors, is to teach undergraduates.
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