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Could families of "Airys" and "Bairys" of integer "frequencies" be useful?
A very famous family of functions are the complex exponentials and in the case of real valued functions, the sin and cos functions. They are related by the famous Euler formulas:
$$\exp(i\phi) = \cos(...
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Meaning of multiplication by $\sin$ in $\omega$-domain
Multiplying some signal, a function of time, $m(t)$ by a cosine $\cos{\omega' t}$ causes a shift in frequency of $m(t)$, by $\pm\omega'$.
But what about multiplication by a sine wave, such $m(t)\cdot\...
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please help me understand the lecture note? heat equation and fourier series
I don't quite understand equation 3.73 and 3.74.
To get $T(x,t)$ I thought I had to multiply F and G. How does that give equation 3.73?
I got G as e^{stuff} as in the last bit of equation 3.73. ...
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