Difference between revisions of "Talk:2605: Taylor Series"

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(revert self comment reply, I have given up hope)
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:Taylor serie is approximation of arbitrary function. Fourier serie is also approximation of arbitrary function, although in different way. Those others are something completely different, though. For example, Taylor serie is not DEFINED as infinite - it just usually is. Saying that Laurent series is infinite is like, well, sure it is, it's defined that way, saying that about Taylor series approximating specific function is actually nontrivial statement. -- [[User:Hkmaly|Hkmaly]] ([[User talk:Hkmaly|talk]]) 00:36, 12 April 2022 (UTC)
 
:Taylor serie is approximation of arbitrary function. Fourier serie is also approximation of arbitrary function, although in different way. Those others are something completely different, though. For example, Taylor serie is not DEFINED as infinite - it just usually is. Saying that Laurent series is infinite is like, well, sure it is, it's defined that way, saying that about Taylor series approximating specific function is actually nontrivial statement. -- [[User:Hkmaly|Hkmaly]] ([[User talk:Hkmaly|talk]]) 00:36, 12 April 2022 (UTC)
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:I feel like he could have worked in at least one Taylor Swift pun
  
 
DuckDuckGo's search on "taylor series expansion taken to extremes" is remarkably unsatisfying, the first result being https://www.mathsisfun.com/algebra/taylor-series.html which nonetheless may be of use in the explanation. [[Special:Contributions/172.68.132.206|172.68.132.206]] 04:42, 12 April 2022 (UTC)
 
DuckDuckGo's search on "taylor series expansion taken to extremes" is remarkably unsatisfying, the first result being https://www.mathsisfun.com/algebra/taylor-series.html which nonetheless may be of use in the explanation. [[Special:Contributions/172.68.132.206|172.68.132.206]] 04:42, 12 April 2022 (UTC)
  
 
Can this be a reference to the Neverending Story? There the protagonist wishes that the books he love would, well, never end. --[[User:JezebelCeasedToExist|JezebelCeasedToExist]] ([[User talk:JezebelCeasedToExist|talk]]) 05:30, 12 April 2022 (UTC)
 
Can this be a reference to the Neverending Story? There the protagonist wishes that the books he love would, well, never end. --[[User:JezebelCeasedToExist|JezebelCeasedToExist]] ([[User talk:JezebelCeasedToExist|talk]]) 05:30, 12 April 2022 (UTC)

Revision as of 07:25, 12 April 2022


I should point out that Taylor Series expansions can end - for polynomials 172.70.114.157 17:23, 11 April 2022 (UTC)

Pics or it didn't happen. 172.68.132.206 04:45, 12 April 2022 (UTC)

Most Physicists only like seasons 1 and 2. Fephisto (talk) 17:44, 11 April 2022 (UTC)

I feel it really jumped the shark in the third term. --172.69.69.182 19:29, 11 April 2022 (UTC)
Yeah, it does get a bit repetitive. It feels like the writers just started following a formula. Fephisto (talk) 19:37, 11 April 2022 (UTC)

Non-mathematician here: what I don't get (and would appreciate having explained) is why he chose this specific instance of an infinite series. Is there something special about a Taylor series that makes it work best for this joke? Some deeper pun here that "Taylor Series" brings, over just using "(Laurent|Fourier|Dirichlet|Infinite) series" or even "Zeno's Paradox"? --172.69.69.182 19:44, 11 April 2022 (UTC)

Taylor serie is approximation of arbitrary function. Fourier serie is also approximation of arbitrary function, although in different way. Those others are something completely different, though. For example, Taylor serie is not DEFINED as infinite - it just usually is. Saying that Laurent series is infinite is like, well, sure it is, it's defined that way, saying that about Taylor series approximating specific function is actually nontrivial statement. -- Hkmaly (talk) 00:36, 12 April 2022 (UTC)
I feel like he could have worked in at least one Taylor Swift pun

DuckDuckGo's search on "taylor series expansion taken to extremes" is remarkably unsatisfying, the first result being https://www.mathsisfun.com/algebra/taylor-series.html which nonetheless may be of use in the explanation. 172.68.132.206 04:42, 12 April 2022 (UTC)

Can this be a reference to the Neverending Story? There the protagonist wishes that the books he love would, well, never end. --JezebelCeasedToExist (talk) 05:30, 12 April 2022 (UTC)