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Results tagged with ca.classical-analysis-and-odes
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user 84320
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
23
votes
Is there any use for $\sin(\sin x)$?
A frequency-modulated (FM) signal (like those used in FM radio), with a sinusoidal input, can be represented as
$$x_\mathrm{c}(t) = A\cos(\omega_\mathrm{c}t+\beta\sin \omega_\mathrm{m}t), \tag{1}$$
wh …