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All resources considered are renewable and each resource unit may not be available at all times due to resource vacations, which are known in advance, and assignment to other finite duration activities.
Our test sinusoids are finite duration, while the ideal sinusoid is infinitely long: This can be a real practical limitation.
And so, in fact then, for a finite duration time function, the region of convergence is the entire s-plane.
Suppose that we start with a time function as I indicate here, which is a finite duration time function.
And as long as everything's stays finite in terms of amplitudes in a finite duration signal, there's no difficulty that we're going to run into here.
The finite duration and time-varying amplitude properties are obtained by using a suitable envelope function.
As the pulse has finite duration, one needs an infinite number of waves of different frequencies to be added together to give the required pulse.
This was done in conjunction with Zoroastrian millenarianism (the division of the finite duration of the material creation into 12 millennia).
The first singular vector satisfies finite duration constraint almost exactly.
A second problem is that God's ideas are eternal, whereas physical objects typically have finite duration.
Anselm thus speculated as follows: If no suffering of finite duration will fully satisfy the demands of justice, perhaps suffering of infinite duration will do the trick.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com