Equivocalness might be utilized as a pedagogical trap, to constrain understudies to replicate the conclusion without anyone else present. Some textbooks[18] give the same name to the capacity and to its Fourier change:
~f(\omega)=\int f(t) \exp(i\omega t) {\rm d}t .
Thoroughly talking, such an articulation requires, to the point that ~ f=0 ~; regardless of the fact that capacity ~ f ~ is a fourier toward oneself capacity, the representation ought to be composed as ~f(\omega)=\frac{1}{\sqrt{2\pi}}\int f(t) \exp(i\omega t) {\rm d}t ; anyway, it is accepted that the state of the capacity (and even its standard \int |f(x)|^2 {\rm d}x ) rely on upon the character used to indicate its contention. On the off chance that the Greek letter is utilized, it is thought to be a Fourier convert of an alternate capacity, The first capacity is accepted, if the declaration in the contention holds more characters ~t~ or ~\tau~, than characters ~\omega~, and the second capacity is expected in the inverse case. Interpretations like ~f(\omega t)~ or ~f(y)~ hold images ~t~ and ~\omega~ in equivalent sums; they are uncertain and ought to be evaded in genuine reasoning.
~f(\omega)=\int f(t) \exp(i\omega t) {\rm d}t .
Thoroughly talking, such an articulation requires, to the point that ~ f=0 ~; regardless of the fact that capacity ~ f ~ is a fourier toward oneself capacity, the representation ought to be composed as ~f(\omega)=\frac{1}{\sqrt{2\pi}}\int f(t) \exp(i\omega t) {\rm d}t ; anyway, it is accepted that the state of the capacity (and even its standard \int |f(x)|^2 {\rm d}x ) rely on upon the character used to indicate its contention. On the off chance that the Greek letter is utilized, it is thought to be a Fourier convert of an alternate capacity, The first capacity is accepted, if the declaration in the contention holds more characters ~t~ or ~\tau~, than characters ~\omega~, and the second capacity is expected in the inverse case. Interpretations like ~f(\omega t)~ or ~f(y)~ hold images ~t~ and ~\omega~ in equivalent sums; they are uncertain and ought to be evaded in genuine reasoning.
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