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Introduction
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Publications (8)
We show that if a group can be represented as a graph product of finite directly indecomposable groups, then this representation is unique. Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-37.abs.html
Thesis (Ph. D.)--University of Wisconsin--Milwaukee, 2001. Includes bibliographical references (leaves 46-47). Vita. Microfiche copy: University Microfilms No. 30-21683.
Using elementary techniques, a question named after the famous Russian mathematician I. M. Gelfand is answered. This concerns the leading (i.e., most significant) digit in the decimal expansion of integers 2n , 3n , . . . , 9n . The history of this question, some of which is very recent, is reviewed.
We exhibit a real function that is surjective when restricted to any nonempty open interval.
Sometimes, all you need is a fresh set of eyes. This paper arose when one of the authors, a first-semester calculus student at UW-Milwaukee, asked another of the authors, a newly-minted UWM emeritus professor killing some time in the mathematics resource center, whether the geometric methods used to differentiate sine at the origin by considering a...
We prove that there are exactly five sequences, including the triangular numbers, that satisfy the product rule $T(mn) = T(m) T(n) + T(m-1) T(n-1)$ for all $m, n \ge 1$.
We give an elementary proof that the sum of the digits of $2^n$ in base 10 is greater than $\log_4 n$. In particular, the limit of the sum of digits of $2^n$ is infinite.
If S and S' are two finite sets of Coxeter generators for a right-angled Coxeter group W, then the Coxeter systems (W,S) and (W,S') are equivalent.
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Sometimes, all you need is a fresh set of eyes. This paper arose when one of the authors, a first-semester calculus student at UW-Milwaukee, asked another of the authors, a newly-minted UWM emeritus professor killing some time in the mathematics resource center, whether the geometric methods used to differentiate sine at the origin by considering areas of triangles and sectors could be brought to bear on a parabola or hyperbola.
This immediately brought to mind the hyperbolic sine and cosine, and sure enough, the derivative of hyperbolic sine at the origin is 1.
