Mmm pie
HAPPY PI DAY
Useful Information, Summarized Below
The Quick Stats
What is pi?
The ratio of a circle's diameter to its circumference
Wow! What is it used for?
All sorts of things! It's frequently used for all sorts of geometrical computations, but is much more specialer than just that
Huh? Why?
Pi is like Houdini. It can't be captured into a polynomial expression or described in a non-infinite form. It is irrational and transcendental.
Ah, like a deranged hippie!
Err.... no, not like that. Irrational means that it can't be described as an integer, simple fraction, or terminating decimal. Transcendental means that it goes on forever. No, really, forever. There's no way to express it in polynomial form whatsoever, no matter how many degrees, coefficients, or constants.
Oo... so it's like pretty cool?
YES oh my god. And its applications are OUT OF THIS WORLD.... LITERALLY! Pi is involved in so many mind-blasting principles and equations, like these:
The Magnetic Permeability of Free Space
Heisenberg's Uncertainty Principle
Coulomb's Law
e^i(pi) (Euler's Identity, the most amazing thing in life itself)
Probability Density Function
TAYLOR SERIES to prove Euler's Identity (zomg)
*blink*
Yes, my child. Yes.
Useful Information, Summarized Below
The Quick Stats
What is pi?
The ratio of a circle's diameter to its circumference
Wow! What is it used for?
All sorts of things! It's frequently used for all sorts of geometrical computations, but is much more specialer than just that
Huh? Why?
Pi is like Houdini. It can't be captured into a polynomial expression or described in a non-infinite form. It is irrational and transcendental.
Ah, like a deranged hippie!
Err.... no, not like that. Irrational means that it can't be described as an integer, simple fraction, or terminating decimal. Transcendental means that it goes on forever. No, really, forever. There's no way to express it in polynomial form whatsoever, no matter how many degrees, coefficients, or constants.
Oo... so it's like pretty cool?
YES oh my god. And its applications are OUT OF THIS WORLD.... LITERALLY! Pi is involved in so many mind-blasting principles and equations, like these:
The Magnetic Permeability of Free Space
Heisenberg's Uncertainty Principle
Coulomb's Law
e^i(pi) (Euler's Identity, the most amazing thing in life itself)
Probability Density Function
TAYLOR SERIES to prove Euler's Identity (zomg)
*blink*
Yes, my child. Yes.