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3 Binary Operations - Arkansas Tech University
For example, consider the set M(Z) of all functions from the set of integers into itself. Then the operation of composition is a binary operation on M(Z). Consider the two functions f(n) = 2n and g(n) = ˆ n 2 if n is even 4 if n is odd 5
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Lecture Notes in Discrete Mathematics
faculty.atu.eduPreface This book is designed for a one semester course in discrete mathematics for sophomore or junior level students. The text covers the mathematical
Marcel B. Finan Arkansas Tech University All Rights …
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faculty.atu.edu28 Calculus of Matrix-Valued Functions of a Real Variable In establishing the existence result for second and higher order linear di er-ential equations one transforms the equation into a linear system and tries
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faculty.atu.edu37 Basic Geometric Shapes and Figures In this section we discuss basic geometric shapes and figures such as points, lines, line segments, planes, angles, triangles, and quadrilaterals. The three pillars of geometry are points, lines, and planes: A point is an undefined term used to describe for example a location on a map. A point
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