![]() Maybe I've just been out of math too long ![]() I'm specifically including "assume, x "not equal to" pi as shown in the cosine series image and xmcd file I'm posting. ![]() The resulting Fourier Sine series is the exact answer that is given in the book, however, the resulting Fourier Cosine series does not turn out to be the same as the series given in the book - unless I am missing something such as a trig identity. If the book, itself, were using the "less than equal to" symbol, i.e., <=, I would assume that the endpoints of the range were included however, the book uses the "less than" symbol, i.e., <. The entire interval of the problem is 0 < x < pi. What I believe the problem is asking is this (I'm stating the following for clarity's sake):į(x) = 1 when x is between 0 and pi/2 - that is, the "end points" of the range, i.e., 0 and pi/2 are not included in the range.į(x) = 0 when x is between pi/2 and pi again, the endpoints of the range are not included. Perhaps I did not post my question in a manner that adequately expresses the problem. Maybe I'm missing something, but sin(2*pi/2) = 0 meaning the Kronecker Delta function would still return 1 at pi/2. My understanding of the Kronecker Delta function is that it returns 0 when it's expression is negative. in general it might you banned, but in response to certain members of a *very* small subset of 'collabs', it may be viewed as mitigating circumstances and you'd probably get a (metaphorically) slapped wrist. = Personally, I don't find responses like this helpful, and I won't tell you my real opinion of responses like this since it would probably get me banned from the collab.ĭeja vu - this would take up an Wiki section by itself I still believe that a Wiki type approach (moderated, of course) would be beneficial. There is a lot of knowledge embedded within this Collaboratory, a lot of which is effectively unusable because it can't be found or is spread over too many messages and/or threads. This is yet another example of the reason why I have requested a better way of organizing and searching for data and worksheets. Reasonably, I would not expect anyone to search through 668+ posts that may or may not produce something pertinent. ![]() = Have you searched the collab for "fourier" yourself, recently? Searching the collab for "Fourier" produces some 668+ results. Posting a link to an article that you posted is infinitely more helpful and friendly than responding "search the collab". = By the way, I searched the collab before posting with several different terms that I thought would produce meaningful results. ![]()
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