Christopher Mowla
Premium Member
For those who were interested to know how I found the factorial formula containing the nth derivative which I showed in this post, I just made this thread on mathisfunforum.com explaining how.
Not sure whether you put this thread in "Help/Suggestions" intentionally, but it doesn't belong there.
[noparse][/noparse]Factorial!
Well, I tried but nothing interesting ever came out of it.Are complex numbers ever used in cube theory?
Ooooh, interpolation. Happens to be a thing I've studied a bit about. I think your method has quite a few major drawbacks that limit its practicality.I just published a video entitled: Easiest (Single Variable and Mulitvariate) Data Interpolation Method ever made? (May 2021).
You obviously meant doesn't work for all cases, but this was a good catch! Your provided counterexample was plain and simple. Thanks!1. The multivariate version doesn't work.
From what you mentioned, I wasn't aware that the output value of a continuous function should be able to produce the fractional form of a rational number. I thought computing with computers rounds numbers, and thus I didn't see a difference (because we could just assume m = # of digits you want 1/3 to have so that it registers to be 1/3 with whatever you're using to compute numbers). But fair enough.2. The handling of nonintegers is very unnatural.
I mentioned in this part of the video that you don't have to calculate any cosine whose argument is not on the Unit Circle. But fair enough.3. It's actually not simpler than Lagrange interpolation.
Can't say I disagree with you. (I believe I expressed this opinion throughout the video.)4. It doesn't serve the purpose of what people normally use interpolation for.
Very cool comparison. And again, fair enough.5. If restricted to integer sampling points and integer inputs, this is zero-order hold.
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