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- Kent E. Morrison
- 1995

1. INTRODUCTION. It is natural to use integer matrices for examples and exercises when teaching a linear algebra course, or, for that matter, when writing a textbook in the subject. After all, integer matrices offer a great deal of algebraic simplicity for particular problems. This, in turn, lets students focus on the concepts. Of course, to insist on… (More)

BACKGROUND
Leukotrienes are a class of biologically active lipids that have potent effects on the heart. To assess their role in coronary artery disease, we compared the contractile responses of leukotriene C4 (LTC4) and leukotriene D4 (LTD4) and their binding activity in both atherosclerotic and nonatherosclerotic human coronary arteries. We also studied… (More)

The conjecture of Fisher and Hartwig, published in 1968, describes the asymptotic expansion of Toeplitz determinants with singular generating functions. For more than twenty years progress was made in extending the validity of the conjecture, but recent computer experiments led to counterexamples that show the limits of the original conjecture and pointed… (More)

- Kent E. Morrison
- 2006

In this expository article we collect the integer sequences that count several different types of matrices over finite fields and provide references to the Online Encyclopedia of Integer Sequences (OEIS). Section 1 contains the sequences, their generating functions, and examples. Section 2 contains the proofs of the formulas for the coefficients and the… (More)

- Kent E. Morrison
- 1995

A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of the Hilbert space. For an operator that is not compact such approximations cannot converge in the norm topology on the space of operators. Multiplication operators on spaces of L 2 functions are never compact; for them we consider how well the… (More)

The game You walk into a casino, and just inside the main entrance you see a new game to play—the Multiplication Game. You sit at a table opposite the dealer and place your bet. The dealer hits a button and from a slot in the table comes a slip of paper with a number on it that you cannot see. You use a keypad to choose a number of your own—any positive… (More)

OBJECTIVE
Both superoxide dismutase (SOD), a free radical scavenger, and nitric oxide (NO), a vasodilator with anti-inflammatory properties, have been shown to protect the myocardium from reperfusion injury. They are known to interact in vivo, the influence of which on myocardial protection has not been studied.
METHODS
Four groups of rats (n=7, per… (More)

- Kent Morrison
- 2005

We determine the limiting distribution of the number of eigenvalues of a random n×n matrix over F q as n → ∞. We show that the q → ∞ limit of this distribution is Poisson with mean 1. The main tool is a theorem proved here on asymptotic independence for events defined by conjugacy class data arising from distinct irreducible polynomials. The proof of this… (More)

and his primary research interests are in mathematical probability, especially optimal-stopping theory, fair-division problems, and Benford's Law. where he received his Ph.D. and B.A. degrees. Currently he is a visiting researcher at the American Institute of Mathematics in Palo Alto. He has a number of research interests in the areas of algebra, geometry,… (More)