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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#76 2014-02-22 20:54:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,358

Re: Fourier series

Sometimes they are meaningful but here they are not.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#77 2014-02-22 22:44:24

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: Fourier series

I get the "fungi" all the time when working numerical stuff in M. The fungi part most often appears next to the imaginary number, so the answer appears to be complex, when it is, in fact, real.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#78 2014-02-22 22:46:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,358

Re: Fourier series

That is correct. It takes some experience in spotting it. It happens in newtons iteration. A small fungus will force Newton's onto the complex plane.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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