With her Taylor series, she can approximate every breakup to first order - and then say "I'm never getting back together with those error terms!". And no matter how many terms she added, nothing was every a perfect match.

So there's this rumor that I just made up where she is working on a series of albums that she is sure will be hits. She's just going to number them in order, "One", "Two" and so on. If she gets to "Four" and it is also a hit, then her next one will be simply called "Yay!" 

Which is where we get the "Four" "Yay" series.

I'll see myself out.

I think she just did a cover version. Not as good as the original if you ask me. 

I'm not sure, but her list of hits is definitely an infinite series.

I'm pretty sure all her work is derivative.

Hi guys,

It may be just me, but I do get the impression that some of you are not taking our Rick seriously !

I went to the so-called "fount of all knowledge" ChatGPT to try and find the connection between Taylor Swift and her (?) series.

Here is part of what it came back with :

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Yes! If we think about it, there's a seismic connection between Taylor Swift and the Taylor series in a metaphorical and even a semi-scientific sense:

1. Swift's Impact = A Seismic Event
   • Taylor Swift's music and cultural influence often create metaphorical “seismic waves” in pop culture. Album releases, surprise announcements, and tours cause social media explosions—akin to tremors on a global scale.
   • In a literal sense, her concerts have even registered on seismographs! For example, fans dancing at her Seattle concert in 2023 generated seismic activity equivalent to a small earthquake (the "Swift Quake").
2. Taylor Series in Seismology
   • In earthquake science, mathematical models like the Taylor series help approximate complex wave behaviors in the Earth’s crust.
   • Seismologists use Taylor series expansions to analyze how seismic waves propagate, similar to how the series is used in physics and engineering.
3. Connecting the Dots
   • If a Taylor series helps us approximate and understand seismic waves, and Taylor Swift herself creates seismic waves through her concerts, then we’ve come full circle—Swift’s impact is so powerful, even math can help explain it!

So, in a way, Taylor Swift and the Taylor series are both shaking things up—one musically, the other mathematically!

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So there you have it. Note that as we all know, ChatGPT always comes up with an answer of some kind - it never says "I haven't got a clue".   :-)

If your resources are limited, you may still be able to afford the Taylor Swift tribute act: "The Taylor Approximation".

I'm pretty sure it was invented by James Taylor, as his series has converged. The Taylor Swift series has yet to converge, and there is little evidence it is going to converge anytime soon.