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numb3rth30ry · 3 years
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Why does this matter I mean power-reduction is cool but who can solve this lmao
Does one solve the RHS or LHS? How!? Differentiation under the integral sign (Leibniz Integration)?
Get learn’t on,
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That’s it. Move along folks, we’re done here. 
Mathematics is an exercise left to the reader. <3 P.S. No refunds.
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numb3rth30ry · 3 years
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One of these days--I promise--I will get around to following you all back.
I promise, I do not think I am too cool to follow back. I am too distracted.
Mathematics is community. <3
EDIT: Could anybody point me towards a script, or other efficient method of doing this?
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numb3rth30ry · 3 years
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Crop your cat’s face. Parametrize it. 
Do it! You are free now.
Cathematics is beautiful. <3 P.S. Aggress me in the comment section until I post source materials so you can do this instantly instead of merely reading my cryptic suggestions. I’m sorry I’m busy and lazy :(((
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numb3rth30ry · 3 years
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Cycles of circles. 
It’s interactive. Go play! 
https://www.desmos.com/calculator/dzwz7e02i3
(Desmos set not an original creation, struggling to find attribution, will update when I can).
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numb3rth30ry · 3 years
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Remarkable.
Edit: Here is a brief, rough (bad) explanation of how I like to “visualize” this. Find yourself ANY continuous function with the graphical property that it regularly repeats along the x-axis over pi length intervals. Draw one, if you like--you’re free! This is your f(x). 
Now multiply your f(x) by that gnarly sinc-squared(?) function in the LHS integrand, and graph that monstrosity. Call it g(x), where the g is short for “gnarly.”
What is the area between g(x) and the ENTIRE x-axis (i.e. from negative to positive ∞)? A note to those without a calc background: “negative area,” underneath the x-axis, is a thing. It additively “cancels” with positive area above the x-axis.
Okay, almost there. Take your drawing of f(x) and slice it vertically, so that only extends from zero to pi, with respect to the x-axis. (Cuts are along the lines x = 0 and x = pi). Shade the region between the x-axis and the curve (accounting for negative area, if any).
The fact above says that the shaded area in your truncated f(x) drawing will be EXACTLY the same as the area under the ENTIRETY of the gnarly g(x) curve. 
Mathematics is beautiful. <3
Source: @integralsbot on Twitter.
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numb3rth30ry · 3 years
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Get learn’t on,
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That’s it. Move along folks, we’re done here. 
Mathematics is an exercise left to the reader. <3 P.S. No refunds.
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numb3rth30ry · 3 years
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You still taking to go orders?
Cool lemme get uhhh (a)&(b) combo?
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yeah imma need like, 1/2 uhh... that derivative, uhh 3-piece of that Cantor 3-adic McFractalFood meal
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and a side of mint bbq pepsi abstraction
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numb3rth30ry · 3 years
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YOU SHALL NOT GRAPH
You have attempted a
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Please, do not disturb the Platonic Heavens any further.
Mathematics is forbidden. <3
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numb3rth30ry · 3 years
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A little something I made on desmos.com. I currently lack the time to put together a passable “explainer”, but I will add a how-to and source materials when I can. Seeing as I’ve been awful about posting recently, I’m going to just go for it now and amend later.
The quotation, “Mathematics is inexhaustible,” is a succinct expression of Kurt Gödel’s ontological outlook on mathematics vis-a-vis logic and his Incompleteness results.
∞ [⫙4τℏξmατ!ℂ5 1∫ ⅈℵ∑×ℏ∆∪∮τiβ⌊ε] ∞ 
Mathematics is beautiful. <3
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numb3rth30ry · 3 years
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You’re being hyperbolic
Well, he is.
But have you seen those wide-legged jeans!?
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Have you seen them hyperbolically?
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Do it here:
https://www.malinc.se/m/ImageTiling.php
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numb3rth30ry · 3 years
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Friendly greetings, fellow mathematics aficionados and enthusiasts! I have missed you all dearly. 
Life has been complicated as of late--demanding much of the energy and focus that would have otherwise gone towards social media. That said, I am alive and well. 
Better yet, I return with many new mathematical wonders to share. All in good time, of course. :)
Mathematics is beautiful. <3
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numb3rth30ry · 4 years
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Untegration is unvertible; i.e., differentiatiun is integration.
differentiation? more like untegration
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numb3rth30ry · 4 years
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Unduction
Given the truth of an infinite sequence of statements, you may assert one such statement.
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numb3rth30ry · 4 years
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numb3rth30ry · 4 years
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Weierstrass functions.
Quoting Wikipedia, “In mathematics, the Weierstrass functions are special functions of a complex variable that are auxiliary to the Weierstrass elliptic function. They are named for Karl Weierstrass. The relation between the sigma, zeta, and p-functions is analogous to that between the sine, cotangent, and squared cosecant functions: the logarithmic derivative of the sine is the cotangent, whose derivative is negative the squared cosecant.”
The stunning colors come from domain coloring.
Mathematics is beautiful. <3
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numb3rth30ry · 4 years
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Gang gang
{SET {SET}}
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numb3rth30ry · 4 years
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Strange attractors.
Mathematics is beautiful. <3
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