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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© 2014 Springer-Verlag London
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Dyke, P. (2014). Further Properties of the Laplace Transform. In: An Introduction to Laplace Transforms and Fourier Series. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-6395-4_2
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DOI: https://doi.org/10.1007/978-1-4471-6395-4_2
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Online ISBN: 978-1-4471-6395-4
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