• Member Since 2nd Dec, 2013
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Undome Tinwe


Some of them want to use you, some of them want to be used by you/Some of them want to abuse you, some of them want to be abused.

T

Twilight tutors Rarity on polar coordinate systems and parametric equations.

Pre-requisites: first-year college calculus or equivalent (basic knowledge of functions and derivatives).

Chapters (1)
Comments ( 25 )

You had me at "coordinate". :twilightblush:

I don't understand where they get off calling it cardioid when it clearly most resembles a butt.

That brought back memories from school.

It was also very Twilight! :twilightsmile:

Using Twilight and Rarity study sessions as a vector for edutainment is great. This was a real flashback to either high school or college (can't remember where I took Calculus). I was following along well enough, but this part did trip me up.

"And in order to get dt/dx

we can use the fact that:"

dy/dx=1 / dx/dy

"Therefore, we have:"

dy/dx=dy/dt / dx/dt

Since I spent a while trying to figure out the relevance of inverting all of dx/dy. Then I realized what was actually going on was Twilight using the rule that multiplication is the same as dividing the left term by the inversion of the right term.

Twilight and Rarity dialogue was on point as usual. Overall, great story.

10389779
Thanks, it was definitely a mistake to use x and y as generic variables in the equation there. I'll fix it and edit the next line for extra clarity.

10389788
That fix worked, thanks.

Where was this fic last semester when I was taking calc 2???? aaaaaaaaaaaaaa... I now need a sequel for something in calc 3's range (essentially this, applied to 3D)! This is excellent, and I'm proud to say that I understand what Twilight's talking about. Well-written, indeed, and better than the school's tutors could word it!

This was adorable and incredibly nerdy shipping. I loved it. Very good edutainment.

10389721
Well that just gets into the origin of the Heart symbol...

This may be the first story I'm legitimately too under educated to understand properly. I cannot wait to dive in.

Edutainment fics are really cool in general, and I feel like this one got everything right: not too much content, presented understandably, and with a nice story part.

I always wanted to write one of these, but could never decide on the content and doubted my skill to make it a decent story too much. Maybe I should try some time...

No mathematical expression of love is complete without Stanisław Lem's "Love and Tensor Algebra" sonnet from The Cyberiad:

"Come, let us hasten to a higher plane
Where dyads tread the fairy fields of Venn,
Their indices bedecked from one to n
Commingled in an endless Markov chain!

"Come, every frustum longs to be a cone
And every vector dreams of matrices.
Hark to the gentle gradient of the breeze:
It whispers of a more ergodic zone.

"In Riemann, Hilbert or in Banach space
Let superscripts and subscripts go their ways.
Our asymptotes no longer out of phase,
We shall encounter, counting, face to face.

"I'll grant thee random access to my heart,
Thou'lt tell me all the constants of thy love;
And so we two shall all love's lemmas prove,
And in our bound partition never part.

"For what did Cauchy know, or Christoffel,
Or Fourier, or any Bools or Euler,
Wielding their compasses, their pens and rulers,
Of thy supernal sinusoidal spell?

"Cancel me not—for what then shall remain?
Abscissas some mantissas, modules, modes,
A root or two, a torus and a node:
The inverse of my verse, a null domain.

"Ellipse of bliss, converge, O lips divine!
the product of our scalars is defined!
Cyberiad draws nigh, and the skew mind
Cuts capers like a happy haversine.

"I see the eigenvalue in thine eye,
I hear the tender tensor in thy sigh.
Bernoulli would have been content to die,
Had he but known such a2 cos(2) φ !"

:twilightsmile::heart::raritystarry:

OH MY CELESTIA.

This is the best fic I've read in a while, serious kudos for this. Excellent use of fimfic's woefully unappreciated \LaTeX integration.

...since my dancing is better modelled by Brownian motion

Shriek. (Also same, but aaaaaa that line was the highlight of the fic.)

Thank you for this wonder.

Reading this felt like a first year mathematics lecture but if they were all like this I definitely would have gotten better marks!!!!

I find myself enjoying this a lot. Just a bit lost at the end, but I figure it out.
I’d love to see either a sequel, or an AU long-fic, because that’s cute.

Interesting and unexpected. :)

One thing that I'm not getting, and that my currently-tired brain doesn't seem to be successfully retrieving from my own years-ago classes: why 2π−t instead of t+2π?

JackRipper
Moderator

How I got an A in Calculus 2 and 3 I’ll never know.

In short order, Rarity had written out the list of points to plot: ( 1 , 0 ) , ( 5 / 4 , π / 4 ) , ( 3 / 2 , π / 2 ) , ( 7 / 4 , π / 4 ) , ( 2 , π ) , ( 9 / 4 , 5 π / 4 ) , ( 5 / 2 , 3 π / 2 ) , ( 11 / 4 , 7 π / 4 ) , ( 3 , 2 π ) ( 1 , 0 ) , ( 5 / 4 , π / 4 ) , ( 3 / 2 , π / 2 ) , ( 7 / 4 , π / 4 ) , ( 2 , π ) , ( 9 / 4 , 5 π / 4 ) , ( 5 / 2 , 3 π / 2 ) , ( 11 / 4 , 7 π / 4 ) , ( 3 , 2 π ) (1,0), (5/4,\pi / 4), (3/2,\pi / 2), (7/4,\pi / 4), (2,\pi), (9/4,5\pi / 4), (5/2,3\pi / 2), (11/4,7\pi / 4), (3,2 \pi)

Dang, it's been a hot minute since I had to think about this.

This was absolutely adorable and a great refresher on some calc! I would be interested in a long-fic of this AU. (Funny enough I'm a physics/electrical engineering double major, so all of this would be wonderful to read! Although...man would a fic on electromagnetism be a rough reminder on how rough that class is. :rainbowlaugh:)

That was lovely and a nice bit of mathematics as well.a minor correction:

"Pragmatism has it's uses, dear," Rarity said. "So, is that all?"

ought to use "its," rather than "it's."

That ending got me. I thought there would be smut but more fluff appeared! Reading a book in bed is totally Twilight's idea of a romantic evening...

This is very cute, and a nice refresher.

I felt rather drawn to this fic.

I wonder why.

All jokes aside, I really like the idea of learning via shipfic – I am extremely fond of both shipping and learning, and this was VERY cute. You have my vote of confidence for the format!

This was very amusing. As a physics education major, I approve. Also *dang* Rarity picked up stuff fast. Most students would need a week or so to get this level of mastery with it as new material.

What’s next? Vector calculus? Can Twilight explain how her love always has a gradient pointing toward Rarity?

Have you seen Pineta's stuff?

11601509
I have! Pineta is actually a massive inspiration to me.

11601929
I _loved_ Rock Farms and Nuclear Reactors! Not really educational, but FoME's Never the Final Word anthology has a couple w/math jokes, including one from me.

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