Re: math : a challenge from tommy1729

If thats too difficult for tommy1729, perhaps he
can
tackle the
presumably much simpler task of finding the series
giving:
f(x) = 1 if x=1/2,
= 0 otherwise.



that can be expressed in fourrier series.

see " delta function(s)"




- Tim

amy666

ill give it here :

delta(x) = 1/2pi + 1/pi*[cos(x) + cos(2x) + cos(3x) + ...]

as for delta(x+a) , the same series with every x replaced by x+a.

note that this does not change cardinality since a is in R and we just get some sine series as the OP mentioned.

im sure tommy1729 knows this too.

amy666
.

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