Abstract
Sometimes, a function F(t) represents a natural or engineering process that has no obvious starting value. Statisticians call this a time series. Although we shall not be considering F(t) as stochastic, it is nevertheless worth introducing a way of “switching on” a function. Let us start by finding the Laplace Transform of a step function the name of which pays homage to the pioneering electrical engineer Oliver Heaviside (1850–1925). The formal definition runs as follows.
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© 2001 Springer-Verlag London
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Dyke, P.P.G. (2001). Further Properties of the Laplace Transform. In: An Introduction to Laplace Transforms and Fourier Series. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-0505-3_2
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DOI: https://doi.org/10.1007/978-1-4471-0505-3_2
Publisher Name: Springer, London
Print ISBN: 978-1-85233-015-6
Online ISBN: 978-1-4471-0505-3
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