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Weierstrass function: Revision history


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  • curprev 01:4801:48, 7 November 2022SamJanowiak talk contribsm 16,384 bytes +5 I edited this a while ago based on a misunderstanding of self-similarity. For those looking at this in the future: "not all fractals are self-similar and not all self-similar objects are fractals." (https://web.archive.org/web/20220126051354/https://math.stackexchange.com/questions/2348275/is-there-any-mathematical-proof-of-fractal-self-similarity) undo

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  • curprev 21:4621:46, 4 March 2021MMmpds talk contribsm 16,448 bytes +66 Removed the unnecessary request for a citation since anyone that can read and subtract knows that 2018-1985 = 33 years > 30 years, rewrote the dimension D with a minus sign and set an inequality so the result is easier to understand. undo

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  • curprev 03:1303:13, 2 October 2020SamJanowiak talk contribsm 16,303 bytes −5 The phrase "like many other fractals" implies that there exist fractals which are not self-similar. In fact, this is among the defining features of fractals, as the first sentence of the wikipedia page on fractals says. Perhaps this fraction is not a fractal (I don't know; I'm not a mathematician), but in such a case, the wording ought instead to be "like fractals." undo

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  • curprev 08:3308:33, 27 March 202097.90.21.30 talk 16,220 bytes −11 No edit summary undo
  • curprev 08:3008:30, 27 March 202097.90.21.30 talk 16,231 bytes +90 To the introduction, I simply added the important fact that the Weierstrass function is a fractal curve, as it is a very important characteristic of the Weierstrass function. Also, as the idea of the Weierstrass function being pathological is not as much a mathematical notion as it is a historical one (whether a function is pathological or not depends on whether it was historically used as a counterexample), I moved this remark to the second paragraph, where I think it fits better. undo

18 March 2020

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