Mathematicians will in one breath tell you in one breath tell you they aren’t fractions, then in the next tell you dz/dx = dz/dy * dy/dx
Listen here, Little Dicky
Submitted 10 hours ago by fossilesque@mander.xyz to science_memes@mander.xyz
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Comments
chortle_tortle@mander.xyz 7 hours ago
marcos@lemmy.world 19 minutes ago
Have you seen a mathematician claim that? Because there’s entire algebra they created just so it becomes a fraction.
lmmarsano@lemmynsfw.com 6 hours ago
Brah, chain rule & function composition.
Koolio@hexbear.net 6 hours ago
Also multiplying by dx in diffeqs
rudyharrelson@lemmy.radio 9 hours ago
Derivatives started making more sense to me after I started learning their practical applications in physics class.
d/dx
was too abstract when learning it in precalc, but once physics introducedd/dt
(change with respect to time t), it made derivative formulas feel more intuitive, like “velocity is the change in position with respect to time, which the derivative of position” and “acceleration is the change in velocity with respect to time, which is the derivative of velocity”Prunebutt@slrpnk.net 7 hours ago
Possibly you just had to hear it more than once.
I learned it the other way around since my physics teacher was speedrunning the math sections to get to the fun physics stuff and I really got it after hearing it the second time in math class.
But yeah: it often helps to have practical examples and it doesn’t get any more applicable to real life than d/dt.
Lemmygradwontallowme@hexbear.net 8 hours ago
yea, essentially, to me, calculus is like the study of slope and a slope of everything slope, with displacement, velocity, acceleration.
benignintervention@lemmy.world 10 hours ago
I found math in physics to have this really fun duality of “these are rigorous rules that must be followed” and “if we make a set of edge case assumptions, we can fit the square peg in the round hole”
Also I will always treat the derivative operator as a fraction
vaionko@sopuli.xyz 9 hours ago
Except you can kinda treat it as a fraction when dealing with differential equations
prole@lemmy.blahaj.zone 7 hours ago
Oh god this comment just gave me ptsd
JustAPenguin@lemmy.world 5 hours ago
Only for separable equations
Worx@lemmynsfw.com 9 hours ago
It’s not even a fraction, you can just cancel out the two "d"s
Worx@lemmynsfw.com 9 hours ago
"d"s nuts lmao
iAvicenna@lemmy.world 8 hours ago
Look it is so simple, it just acts on an infinite dimensional vector space of differentiable functions.
Zerush@lemmy.ml 8 hours ago
When a mathematician want to scare an physicist he only need to speak about ∞
devilish666@lemmy.world 5 hours ago
Is that Phill Swift from flex tape ?
KTJ_microbes@mander.xyz 9 hours ago
Little dicky? Dick Feynman?
Kolanaki@pawb.social 5 hours ago
De dix, boss! De dix!
moobythegoldensock@infosec.pub 2 hours ago
It was a fraction in Leibniz’s original notation.
marcos@lemmy.world 20 minutes ago
And it denotes an operation that gives you that fraction in operational algebra…
Instead of making it clear that
d
is an operator, not a value, and thus the entire thing becomes an operator, physicists keep claiming that there’s no fraction involved. I guess they like confusing people.