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Scp-3125
Lunar Supporter - Helped forge New Lunar Republic's freedom in the face of the Solar Empire's oppressive tyrannical regime (April Fools 2023).
My Little Pony - 1992 Edition
Wallet After Summer Sale -

Memetic eldritch horror
@Nightweaver20xx  
And then there’s people like me who haven’t even passed college yet but have an assortment of knowledge about various topics we temporarily fixate on before moving to another one
Nightweaver20xx
My Little Pony - 1992 Edition
Wallet After Summer Sale -
Birthday Cake - Celebrated MLP's 7th birthday
Happy Derpy! -
Platinum bit -
Emerald -
Artist -

Evil
Wow, there are some smart people on this site. Like master’s degree smart. Way past my level. Yes I just necro’d a 7 month old thread to say that.
BigBuggyBastage
Pixel Perfection - I still call her Lightning Bolt
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).
Non-Fungible Trixie -
My Little Pony - 1992 Edition
Wallet After Summer Sale -
Not a Llama - Happy April Fools Day!

Go fsck yourself
@Lawrence Alpaca  
Yep! :) This stuff kinda blew me away (in a good way lol) when I was in my EMC (Electromagnetic Compatibility) EE course, learning what was really happening. Finally I had a use for all those years of calculus classes! LoL
Background Pony #03C5
Huh. I never noticed, but the math here is apparently identities involving hypergeometric functions.
 
Summoning Cthulhu would be very much in character for The Twiggle.
BigBuggyBastage
Pixel Perfection - I still call her Lightning Bolt
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).
Non-Fungible Trixie -
My Little Pony - 1992 Edition
Wallet After Summer Sale -
Not a Llama - Happy April Fools Day!

Go fsck yourself
@Lawrence Alpaca  
Oh yes, very much so, when working at the ‘fundamental level’. As a former EE professor once said to me, “they explain everything.” :)
 
Lorentz laid the groundwork for Einstein’s theory of special relativity, just to put his “status” into perspective. But I know him best for the Lorentz force, better known today as the electromagnetic force. Some like to argue whether Maxwell or Lorentz derived the equation first, but OMG, that period of time had so many brilliant minds, it’s hard to pick a favorite. That equation is:
 
F = qE + qvB
Deactivated_20191124_01
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@mathprofbrony  
I’m am architectural engineer, I mostly do polynomials, rates and ratios for mixing compounds, ohms law, deciding how many materials I’ll need etc.
 
All the math I know is pretty much entry level for a science major.
 
Don’t worry, i love people who know their shit and wear it.
mathprofbrony
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).
Roseluck - Had their OC in the 2023 Derpibooru Collab.
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@mathprofbrony
 
And just to make things as clear as I can without going into major detail:
 
2 F 1 (a,b,c;z) is just a certain four-variable function.
 
In this example, the arguments are given the values a = 1, b = 2/r, c = (2+r)/r, z = -e^(v-V), where r, v, and V are some other quantities.
 
The first line asks for the derivative of this function, with those arguments, with respect to v, in the same way you might use the Chain Rule to get dy/dt if y = f(x) and x = g(t).
 
Okay, I’m done I promise. :^)
mathprofbrony
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).
Roseluck - Had their OC in the 2023 Derpibooru Collab.
Elements of Harmony - Had an OC in the 2022 Community Collab
Twinkling Balloon - Took part in the 2021 community collab.
Friendship, Art, and Magic (2020) - Took part in the 2020 Community Collab
Wallet After Summer Sale -
Friendship, Art, and Magic (2018) - Celebrated Derpibooru's six year anniversary with friends.
Birthday Cake - Celebrated MLP's 7th birthday
The End wasn't The End - Found a new home after the great exodus of 2012

@Lawrence Alpaca
 
They might get used for that, but without context it’s very hard to say.
 
stares a bit, checks Wikipedia
 
…ahah. I get it. This is taking the hypergeometric 2F1 with certain specific arguments as a function of v, and differentiating it with respect to v. The successive lines are equivalent expressions, so it’s giving an identity saying that the derivative of the first expression is the last expression.