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mgunyho | 2 years ago

> You can also eliminate the constant in some of the integral formulas by using đx instead of dx. I'm surprised the author does not propose this.

In the post I propose doing that for Gauss' theorem and Cauchy's formula, because there it's convenient, heh. But to me it feels better to use Θ^ix than a scale factor in front, since the 2pi is always present in the exponential, while the prefactor can be avoided in Fourier transforms if you keep the 2pi in the exponential (or hide it inside Θ). Does this not apply also to the elementary formulas you mention?

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enriquto|2 years ago

> Does this not apply also to the elementary formulas you mention?

Oh, you are right! I disliked the 2pi factor in the exponential because it messes with derivatives. But if you define your scaled derivative then the factor disappears again. So cool!