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A natural question occurs when removing a common assumption like
regular sampling: Has it been discreetly incorporated into some
mathematical result which may be used unknowingly? This is why I will
present a derivation of the and approximations
of the wave equation, starting from the basic laws of mechanics. The
derivation will not ``open'' the Laplacian in (1), keeping
it as an invariant to the very end. The derivation is not original: it
is based on Claerbout (1985a) and
Kjartansson (1978).

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Stanford Exploration Project

6/8/2002