Series Parts
Series Parts
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Series Parts
In fourier series...?
why is the complex fourier series "parts" e^p added from N= -infinity to infinity, whereas the real fourier series parts are added only from N=0 to N=infinity?
damn, it's so obvious now. Thanks guys, wish I could give you both best answers
The discrete real fourier series is of the form
∑(A Sin(nx) + B Cos(nx))
If n were to vary from -≈ to ≈, then we'd end up with:
∑(A' Sin(nx) + B' Cos(nx))
where n varies from 0 to ≈. In other words, the terms where n is negative aren't indepedent from the terms where n is positive.
On the other hand, the discrete complex fourier series is of the form:
∑(C e^(inx))
so that e^(inx) and e^(-inx) do not add or cancel out. Thus, all values of n from -∞ to ∞ are independent "orthogonal" components.
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Series Parts

Retirement and Holes in the Social Security Net, Part 3: Annuities by Mike Dalpher
Retirement and Holes in the Social Security Net: A 3-Part Series
Part 3: Annuities
With 401(k)s and IRAs down, it



































































