INFINITE RECTANGLES

Math. Math jokes. And math puns. And other things of that range and domain.

[infiniterectangles]

[catchymemes]

[infiniterectangles]

MATLAB truly is the superior programming language

[zoey101honors]

what she says: i'm fine

what she means: isn't it crazy how the derivative of e^x is e^x? That's such an arbritrary number isn't it? At the same time it's not, though. Because at any point on e^x, the slope is equal to e^x. But at the same time, the integral of e^x is also e^x. so not only is the slope of e^x e^x, the area underneath the graph of e^x is also e^x. Does that not blow your fucking mind?

[bond-ionic-bond]

wat u do??

[klashta-neali]

[alexyar]

Everyone knows about rule 34, but most people don’t know that there is a similar rule but for math: Any object or concept will sooner or later have a math concept associated with it.

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[catchymemes]

[4thoctave]

The signs as different-order derivatives of e^x

Leo: e^x

Libra: e^x

Cancer: e^x

Virgo: e^x

Aries: e^x

Sagittarius: e^x

Aquarius: e^x

Gemini: e^x

Scorpio: e^x

Taurus: e^x

Capricorn: e^x

Pisces: e^x

[infiniterectangles]

*fills up entire board*

[ambystroma-blog]

if you ever feel pathetic just remember that qualified ap exam writers at collegeboard had trouble drawing straight lines on the 2012 AP Physics E&M exam

[infiniterectangles]

Both a wednesday and pi day, Happy Pi Day you nerds!!

[rebrobindoesmath]

things to say in proofs instead of “trivially”

Obviously

Clearly

The proof is left to the reader that

We all agree that

I would wager 5 dollars that

By the Axiom of Choice

With p < 0.05, we conclude that

By the Laws of Mathematics

If you’ve been paying attention you’d realize that

Terry Tao told me in a personal email that

The voices insist that

♪ Somebody once told me ♪  that

(source)

[deathtokillian]

*summons demon*

Me: hey dude how good are you at algebra?

[infiniterectangles]

honestly what good is understanding higher level math if the algebra mistakes are the ones that always get you!!!

[fyphysica]

A short note on how to interpret Fourier Series animations

When one searches for Fourier series animations online, these amazing gifs are what they stumble upon.

They are absolutely remarkable to look at. But what are the circles actually doing here?

Vector Addition

Your objective is to represent a square wave by combining many sine waves. As you know, the trajectory traced by a particle moving along a circle is a sinusoid:

This kind of looks like a square wave but we can do better by adding another harmonic.

We note that the position of the particle in the two harmonics can be represented as a vector that constantly changes with time like so:

And being vector quantities, instead of representing them separately, we can add them by the rules of vector addition and represent them a single entity i.e:

                                                  Source

The trajectory traced by the resultant of these vectors gives us our waveform. 

And as promised by the Fourier series, adding in more and more harmonics reduces the error in the waveform obtained.

        Have a good one!

**More amazing Fourier series gifs can be found here.

[infiniterectangles]

MATLAB speaks the truth

[infiniterectangles]

Another challenge! Anyone have an idea of what the integrating factor that would make this inexact D.E. exact so that it can be solved? Been using the (Nx-My)/M method but I can’t get it to be a function of just one variable...