/sci/ - Science & Math

e

i

>>11032845

i isn't even real

>>11032846
what a square!

[math]\pi = 4(1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9} \text{........})[/math]
[math]e = 1 + \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} \text{.......}[/math]

I think it's pretty obvious which one is more asthetic

Tell me what "e" is.

>>11032855
exponent that is it's own derivative

>>11032852
That pi derivation is neat! Chi is neat! Primes are neat! Neat!

>>11032855

it's exactly 2.71

>>11032852

Depends on what you mean by aesthetic. I'm really digging that oscillating +/- for Pi

>>11032867
Well you might like this

[math]\frac{1}{e} = 1 - \frac{1}{1!} + \frac{1}{2!} - \frac{1}{3!} + \frac{1}{4!}\text{........}[/math]

>>11032867
Gaussian aesthetic

>>11032856
>>11032865
I guess I'll stick with pi because I can understand that. I do know who the Bernoulli are.

>>11032870

It's settled. e is vastly superior to pi

>>11032878
I am convinced that anyone can learn what a derivative is without much effort. I bet I could teach you right now

>>11032841

pi > e

>>11032878
the function f(x)=e^x has the unusual property that whatever you plug in for x, the resulting number is the slope of the tangent line at that point
for example, when x=2, f(x)=e^2, and the slope of the tangent line at that point is e^2

>>11032841
I like e personally

>>11032885
Give me knowledge or, at least, homework. I've learned a lot from you guys.

>>11032902
Ok, I am going to test my teaching chops on you.

First of all, you know how curves can come in all different shapes? How can you find the slope of the curve at any given point? So like, what is the slope of the curve in pic related at x=5? How would you even figure that out?

That's what a derivative is, it's the slope of the curve at any point. l
So how would you go about finding that slope, do you have any ideas?

>>11032902
Here's a book that'll teach you what you need to know:
https://hheell.files.wordpress.com/2017/01/calc.pdf

>>11032902
>I've learned a lot from you guys.

Fucking KEK

Think of a sink with water draining, choose a point in the water and calcutale where it is likely to move in a field (x,y), it can either curl inwards or diverge outwards, this is a differential.
Now decide to calculate the area of all possible points it will end up in, this is called an integral.
e= is it's maximun potential to curl inward or diverge outward where e to the power of potential i pi is = 1.
i = is the opposing complex lateral or immaginary field of any real number like 1.
pi = the constant on the implication that it will have a curve behavior and/or become a circlular orbit where 1 is real.

There is no better and easier way to explain this.

>>11032841
j

>>11032907
gee golly, this seems difficult
what if you took two points that were really close to x=5 (say, x=5 and x=5.01), and calculated the slope of the line they formed?
it would be a pretty good approximation, but it wouldn’t be perfect. if only there were some way to make the two points arbitrarily close to each other
hmmmm

>>11032907
>>11032914
>>11033384
Noted (literally) I'll have to check later. Fluid dynamics is my thing. Irl but, not on paper. This could be useful. Does Descartes have anything to do with this? Slopes and all. Anyhow, I appreciate you. I try to hang with those I wish to emulate. Im the wizard where I work but idk jack.

Everybody knows pie. I know it well. Good friend. But e? Nobody knows e. e is a loser

e

>>11032841
> pi
> e
> le beautiful math

>>11032841
pi is clearly superior in it's usefulness, e in it's beauty, however all numbers bow to phi

>>11034339
I really hate people who are following idiotic trend like the utilization of the french determinant "le". Do the world a favor and hurt yourself.

who would win
>pi^e
or
>e^pi

>>11032907
Wouldn't a slope necessarily have to have two points? The slope of AB may be different from BC and you wouldn't be able to tell just by looking at point B

>>11032841
pi comes up more, seems more fundamental. e is more "beautiful", definitions are neater see >>11032852

>>11034741
I guess since you're approaching the tangent point from both sides of a continuous curve, as the distance between them dx approaches 0. Doesn't work for abs(x) for instance.

>>11032841
e had to be invented by calculus guys to do math. We are still discovering all of its quirks. Pi was discovered as a simple ratio that everyone can understand, so we've had the luxury of investigating it for the past 5000 years. We know pretty much all there is to know about pi.

>>11034784
>We know pretty much all there is to know about pi.
Pi pretty much contains all there is to know.

>>11034719
u
r
M A D !
pi sucks, get fucked

>>11034791
That hasn't been proven yet. Does pi contain itself in some subsequence?

>>11032870
AAAAHHH AAAAAAHHH OOOOOOOHUUUUUNNNH HGGGHGHG MMMMMMMM IM IM COOOOOOOOOOOOMING

>>11034863
[math]\pi = 4(1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9} \text{........})

>>11034874
don't come here posting your autistic symbols

>>11034863
>>11034874
>>11034888
[math]\pi = 4(1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9} \text{........})[/math]

>>11034888
>based trips of truth
>>11034866
>based dubs of cooming
>>11034874
>>11034896
>gay ass autistic singles

e

>>11032841
e

>>11034724
e^pi edges out on top

>>11034724
e^pi is nicer, mostly because of Euler's identity.

pi = 3 = e
no difference

>>11032841
Tao

>>11034724
Where does pi^e even come up?

>>11032841
e is the Platonic Form of growth, which is always a good thing except with cancer.
pi just takes you around in circles.

>>11035406
Engineers pls leave.

>>11034784
>e had to be invented by calculus guys to do math.
It was discovered by Bernoulli without having anything to do with calculus (nobody was really discussing the Newton / Leibniz shit until ten years later). He was just trying to solve a finance problem about compound interest.

pi is just a ratio.
e is THE CORRECT NUMBER for PERFECT growth, x'(t) = x(t).

>>11034910
How truly beautiful, even more so than Euler's formula. Did Jacob Barnett discover this relationship?

>>11032865
Engineering student detected

>>11036883
pi is the correct number for perfect periodicity

>>11034724
e^pi since it's the imaginary root of -1

>>11032841
4 because it's bigger, well defined and a constant

>>11039105
Mega cringed

>>11034863
nope, we still don't know of a single normal number, which hasn't been constructed to be one

>>11032841
pie

>>11032841
pie more like die, am i right guys?

These are letters you fucking retards.

>>11034724
e^pi > pi^e
literally

>>11042949
come join us at /r/theydidthemath friend!

>>11034724
>that thought bubble
holy shit

Clearly Tau is superior.

>>11032841
pi = e = 3
t. engineer