Proof. It is known in universities that knowledge is power, hence
Similarly, it is known in business that time is money, whence
From physics, we have by definition that power is the ratio of work to time, so that
Making the substitutions above, we have
Solving for money, we get:
Thus, as knowledge approaches zero, money approaches infinity, regardless of the amount of work done. Q.E.D.
Two mathematicians walk into in a bar.
The first one says to the second that the average person knows very little about basic mathematics. The second one disagrees, and claims that most people can cope with a reasonable amount of math.
The first mathematician goes off to the washroom, and in his absence the second calls over the waitress. He tells her that in a few minutes, after his friend has returned, he will call her over and ask her a question. All she has to do is answer “one third x cubed.”
She repeats: “one thir — dex cue?”
He repeats “one third x cubed.”
“One thir dex cuebd?”
“Yes, that’s right”, he says.
So she agrees, and goes off mumbling to herself, “one thir dex cuebd… one thir dex cuebd… one thir dex cuebd…”
The first guy returns and the second proposes a bet to prove his point, that most people do know something about basic math. He says he will ask the blonde waitress an integral, and the first laughingly agrees.
The second man calls over the waitress and asks “What is the integral of x squared?”
The waitress says “one third x cubed” and while walking away, turns back and adds with a wink “…plus a constant.”
SOURCE: Barry Mazur, When Is One Thing Equal to Some Other Thing?
Anyone who writes a number in the form 1729 implies a method of calculation: one thousand, plus seven hundreds, plus two tens, plus nine ones.
Different than writing tick-marks…
This was my first tattoo. I’ve always had a love for mathematics and academia in general, so I decided to get that love permanently manifested upon my body so that I will never forget it. It’s called Euler’s Identity, and is considered one of the most beautiful equations in mathematics, because it connects the five fundamental numbers (e, i, pi, 1, 0) using the fundamental operations (addition, multiplication, exponentiation, and equation). Although I’m now an English major and never plan on taking another math course again, there are absolutely no regrets on getting this done, and it is my favorite of the four I have.
Proof that differential equations are real.
The shapes the salt is taking at different pitches are combinations of eigenfunctions of the Laplace operator.
(The Laplace operator tells you the flux density of the gradient flow of a many-to-one function ƒ. As eigenvectors summarise a matrix operator, so do eigenfunctions summarise this differential operator.)
Remember that sound is compression waves — air vibrating back and forth — so that pressure can push the salt (or is it sand?) around just like wind blows sand in the desert.
When the universe sings itself, the probability waves of energy hit each other and form material shapes in the same way as the sand/salt in the video is doing. Except in 3-D, not 2-D. Everything is, like, waves, man.
To quote Dave Barry: I am not making this up. Science fact, not science fiction.
Glad to see there are some math lovers on tumblr!
BTW, I turned on the ask button, so feel free to send me links to awesome math related sites, videos, pictures, etc.