Questions tagged [reduced-residue-system]
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Reducing the result of $z=e^{x^2-y^2}\cos(2xy)$ after a coordinate rotation by $45^\circ$
Starting with
$$z=e^{x^2-y^2}\cos(2xy)$$
I must make the substitution
$$\begin{align}
x &\to \phantom{-} x\cos 45^\circ + y\sin 45^\circ \\
y &\to -x\sin 45^\circ + y \cos 45^\circ \end{align}$$
where
$$\cos 45^\circ = \sin 45^\circ =…
User3910
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