Definitions

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We will use the definition² of Fresnel cosine and sine integrals oft seen in physics:

$\displaystyle C(u)$	$\textstyle \equiv$	$\displaystyle \int_0^u \cos\left(\frac{\pi}{2}x^2\right)$	(1)
$\displaystyle S(u)$	$\textstyle \equiv$	$\displaystyle \int_0^u \sin\left(\frac{\pi}{2}x^2\right)$	(2)

Aaron S. Master 2002-10-17