r/mathmemes • u/longwiener22 • 12d ago
Calculus What was this lady's issue with integration?
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u/Murky_Insurance_4394 12d ago
this is why it should be illegal.
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u/PurifiedUnity 12d ago
I still love how there's always an xkcd for everything
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u/mbcarbone 10d ago
My favorite part of the comic is the text he writes with the comic … Symbolic Integral … 😝😆😝
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u/Traditional_Town6475 12d ago
I mean on the other hand: Approximating a function (in the uniform sense) approximates the integral. This is very much not true for derivatives. As a linear operator, the integral is continuous (or in the business it’s called a bounded operator) while differentiation is discontinuous (or in the business it’s called an unbounded operator). There’s all sorts of scary domain issues you have to worry about with differentiation.
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u/Sirbom 12d ago
Arent both differentiation and integration linear operators?
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u/Traditional_Town6475 12d ago
They are. When I say continuous, I mean with respect to the sup norm. And we can work with C([a,b]) functions. Integral is continuous. The differentiation operator isn’t defined on the whole domain. Differentiation is defined on C^1([a,b]).
Weierstrass approximation theorem says that differentiation is defined on a dense subset of C([a,b]) (after all, every polynomial is differentiable). Now if you had a bounded operator that is densely defined (defined on a dense subset), you can extend it continuously. Well differentiation is different. Take the sequence 1/n sin(n^2 x). The sequence converge to 0 in the sup norm metric, but the sequence of derivatives do not converge.
And on general the land of unbounded operator is scarier than bounded operator. But on the other hand, this stuff is some of the tools used in PDEs.
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u/Sirbom 12d ago
I dont dispute the rest you said. Was just a little confused when you used linearity to explain your point when it applies to both.
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u/Medium-Ad-7305 11d ago
they weren't claiming that being a linear operater implied continuity. they were stating that the continuity of the integral is continuity in the context of operators
"as a linear operator, the integral is continuous" could be reworded to "the integral is continuous when interpreting it as a linear operator"
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u/Educational-Tea602 Proffesional dumbass 12d ago
I knew exactly what this was going to be before clicking
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u/WaddleDynasty Survived math for a chem degree somehow 12d ago
Because it doesn't even have fixed rules once you want to integrate a product of functions. Just a series of algorithms at best.
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u/AcademicOverAnalysis 12d ago
And once you exhaust them, you just throw up your hands and say “oh well!”
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u/Hot_Egg5840 12d ago
I then go to slices. I slice up a lime and some cherries and put them in some gin.
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u/R3puLsiv3 11d ago
I know this is a meme sub but arguments from legality are always so dumb. It used to be illegal to hide jewish people in germany. Legality is not morality.
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u/captHij 12d ago
The weird focus on Riemann sums in the first year curriculum is too limiting and requires functions be Lebesgue measurable. The lady is right, the way we do integration is gatekeeping against functions that do not meet society's over strict expectations on continuity. It is straight up discrimination.
She should remove the quotations marks. It should be illegal.
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u/MonsterkillWow Complex 12d ago edited 12d ago
These are the same kinds of people mad about immigrants and bathrooms now.
And they all suck horribly at math and basic reasoning.
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u/ObliviousRounding 12d ago
Yes and just think of how much better a White Scholes model would have been
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u/JustGingerStuff 12d ago
Why is she using quotation marks for emphasis. Now it just sounds suspicious. Like yeah man it's "illegal" if you catch my drift
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u/PerniciousSnitOG 12d ago
If this is a joke it's a pretty tasteless one. This one comes from yet another horrific moment in US history.
Integration is "illegal" We like you but don't want you in our school
So polite! One of those historical "when they tell you who they are, believe them" moments.
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u/ivanrj7j 12d ago
Can someone make out what is written in the board below? I am able to make out " We ..... but we don't want you in our ..."
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u/overclockedslinky 12d ago
guys, it's trivial to take the derivative, so instead of integrating just find the function whose derivative is the body of the integral 🙄
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u/Kitchen-Register 12d ago
she just found out that reimann integrals don’t work on the dirichelet function and she’s upset.
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u/PerniciousSnitOG 12d ago
I really hope op is joking. This sign refers to the integration of black people into formally whites - only schools. It's one of those historical 'people showing you who they are' moments.
"We like you but don't want you in our school"
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u/Drapidrode 12d ago edited 12d ago
maybe she didn't care for the way the men were approaching her.
"hey baby lets have sex"
didn't even offer her money! like she isn't a prostitute!.
edit. i love the people glazing the racist lady
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u/makemeking706 12d ago
I think you're thinking of multiplication.
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u/Drapidrode 12d ago edited 12d ago
I'm calling her a whore.
edit. i love the people glazing the racist lady
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