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Functions of a Spacetime Variable

By: Borota, Nicolae A.; Osler, Thomas J. | Mathematics and Computer Education, Fall 2002 | Article details

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Functions of a Spacetime Variable


Borota, Nicolae A., Osler, Thomas J., Mathematics and Computer Education


1. INTRODUCTION

Like the familiar complex numbers x + iy, spacetime numbers x + jt are a two dimensional extension of the one-dimensional real numbers x. In our previous paper [2], we explained how to add, subtract, multiply and divide spacetime numbers. We saw that some features of this arithmetic are identical to arithmetic with complex numbers (like addition and subtraction), but other manipulations (like multiplication and division) were very different. In this paper we introduce a subject of importance in applications of mathematics that has previously only been presented at a level appropriate for researchers or graduate students.

We begin with a brief review of …

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