Also check out my full episodes on my main channel here: kzread.info

@kirakira9906

Жыл бұрын

What's the video where you talk about this??

@thecomplex4341

Жыл бұрын

Can you share a video that you explain the log of 0

I am convinced that this man sleeps, bathes and does everything wearing that white coat. Also he always carries X amount of clocks with him

@imauz1127

Жыл бұрын

“x amount of clocks” 😭

@shadowofheaven3279

Жыл бұрын

e^x amount* ;}

@orange8420

Жыл бұрын

I would say pi amount

@EEEEEEEE

Жыл бұрын

E‎‎

@Akhimed

Жыл бұрын

@@EEEEEEEE bro I’ve seen ur account a year ago, I even commented on ur vid look

Physics students: pi is great. Maths students: e is great. Engineering students: pi = e = 3.

@dhayes5143

Жыл бұрын

Astrophysics student: all 3d shapes approximate a sphere and all small numbers approximate 10.

@EEEEEEEE

Жыл бұрын

E‎‎

@landenheine7645

Жыл бұрын

Lol, this made me laugh

@danielerickson4893

Жыл бұрын

π^2 = g

@MsMollieMac

Жыл бұрын

sin(x) = x

I be sleeping through my math class but watch this on my free time willingly

@EEEEEEEE

Жыл бұрын

‎‎‎‎‎‎E

@shallow4264

Жыл бұрын

@@EEEEEEEE 😂

@lavodnas7899

Жыл бұрын

Education is always better when you're actually interested

@gametalk3149

8 ай бұрын

@@EEEEEEEE e^x

Seeing e being rounded to 2 decimal places feels so wrong

@EEEEEEEE

Жыл бұрын

‎‎‎‎‎‎‎‎‎‎‎E

@hareecionelson5875

Жыл бұрын

ENgineers: seeing e rounded to 2 decimal places feels so wrong. It should be e=3

@carultch

Жыл бұрын

@@hareecionelson5875 Who told you that?

@hareecionelson5875

Жыл бұрын

@@carultch apologies, I meant e=pi

@carultch

Жыл бұрын

@@hareecionelson5875Still, who told you that engineers round pi and e so they equal each other?

this is the Rick that rejected the portal fluid

"number e" elementary school kids: that's a letter, not a number

@DeltafluxMusic

Жыл бұрын

Talk about greek elementary kids and π, γ, the ζ function, sum and product

@antifearless_

4 ай бұрын

isnt e like a coeficcent or sum

@tWiGgAyyy

3 ай бұрын

@@antifearless_No, not necessarily… it’s a number. Eulers number = e which equals 2.72. Basically, e = 2.72. :)

@antifearless_

3 ай бұрын

@@tWiGgAyyy oh ok thx

Euler is literally fucking crazy. He came up with so many things people had to name math shit after the 2nd person who found it

@dikshhao.o4171

2 ай бұрын

Don't forget he invented a whole branch of mathematics just to solve a problem the area's king came up while thinking random shit

e is the most powerfull constant in math, it literally appear in every real use thing out of nowhere

I always had trouble understanding exactly what e was in school. I could use it to solve problems but I didn't understand it as much as I do now. Thank you.

@hareecionelson5875

Жыл бұрын

I recommend 3blue1brown's video 'what if your bank gave you an imaginary interest rate' It really boosted my understanding of what e means, and what it means to take e to the power of something

This is so obvious but at the same time I hadn't realised. I'm a 4th year economics student. That is crazy. Why did no one tell me. Love your vids

@EEEEEEEE

Жыл бұрын

E‎

@Joffrerap

Жыл бұрын

how is it obvious?

@jadinzack9271

Жыл бұрын

@@Joffrerap he’s an economics student who I assume learned about e in the past

I remember using this for calculating capacitors in circuits, since they charge and discharge like that. Trying to find the exact charge at a given time was tricky

I’m glad I took calculus already cause your shorts are very interesting and understanding calculus makes understanding them a lot easier

I never put 2 and 2 together and realized y=e^x is it’s own derivative because it’s x coordinate is it’s slope. Makes so much sense now.

@kirakira9906

Жыл бұрын

No...

@MrZorx75

8 ай бұрын

What do you mean you “didn’t realize that”? That’s the basic definition of what a derivative is…

@isavenewspapers8890

4 ай бұрын

It's the y-coordinate, not the x-coordinate. If you want a function whose graph's slope at every point is equal to the x-coordinate, you must solve the differential equation y' = x, which gives you y = x^2/2+C.

@isavenewspapers8890

4 ай бұрын

@@MrZorx751) If you're referring to the slope of the tangent line, I wouldn't call that the "basic definition" of what a derivative is. I think that title goes to the following: f'(x) = lim h -> 0 (f(x+h)-f(x))/h 2) Just because they knew that the derivative represents the slope of the tangent line and that d/dx(e^x) = e^x, that doesn't mean they had considered how those two facts interact. It's possible to know two facts without knowing a third fact that logically follows from the first two, as you may have just never thought about it before.

Thank you Jack Harlow 🙏

This dude is such a boss. Awesome work.

Numberphile made a great video about this. Either way, much respect to this guy showing us tons of applications for math that many people aren’t aware of. Love your videos.

What's even more amazing is that e and π have an extremely close bond through the complex numbers

You are awesome bro, the enthusiasm is just at another level

Ah yes the number “e”

@isavenewspapers8890

4 ай бұрын

Uh... yep. That is indeed what that number is named.

"Do not go home until you count the value of E."

I started with e^(iπ)+1, and I still have most of it left.

@manarmansour3670

Жыл бұрын

The trick is with the complex numbers

I knew e was special ever since college algebra, but I truly did not appreciate how important it was until I took differential equations

This is pretty fucking awesome! I'd never thought of e in those terms. Wonderful stuff!

I love this channel, it gives explanations fir things I knew but didn't know the reasoning behind, kne example is why e is its own derivative.

You actually make math cool and interesting

I enjoy his energy. Maths made to be an e-sport

E is in sooo many natural things… like the shape of a chain hanging between 2 points, or the shape of a stick that bends when you push on its tip, etc. For non math nerds: in nature there is Yes, No and Maybe. Maybe not existing as often as yes and no, it’s not 1 but just 0.72, thus 2.72

this guy puts a new meaning to bite sized lessons

I don't understand any of this but I love it all the same

It also shows up in LMTD, you could make an episode out of that. :) (Logarithmic Mean Temperature Difference)

ohhhhh!! e came up in my algebra exam and literally nobody knew what it was

Trust me, PI is cool but when you get to caculus, e is a pain to get through, same with log and sin and cos

@carultch

Жыл бұрын

Calculus would be even more of a pain, if you didn't have e for exponentials, or radians for sine and cosine. You'd have chain rules showing up everywhere, and wonder why you keep accumulating pi/180 factors when you take derivatives of trig functions.

One place I know it pops up is optimal stopping theory. The Action Lab made a video about that

I like how this is related to my studies

I love e, but I don't really understand it or where it comes from. Pi has a very nice physical demonstration (the string with diameter marks unwinding from around a rolling circle). Can you help us understand e please? :)

@carultch

Жыл бұрын

The number e is Euler's number. It is a coincidence that Euler's number is named e, as that is the name he chose. It really stands for exponential. The exponential function of a constant base equal to e, is the function whose derivative is itself. In other words, draw a line tangent at any point on y=e^x. The slope at the point (x, y) will equal the value of y. In essence, it is the form of the exponential function that makes its calculus the most elegant. For any other function in the exponential family, such as 2^x, you end up accumulating a coefficient out in front every time you take derivatives. d/dx of 2^x for instance, is ln(2)*2^x.

@beniocabeleleiraleila5799

Жыл бұрын

Definition D(e^x)/DX = e^x He used a great way tô understand that

This is why my Calculus class celebrates e day instead of pi day

Pi + e = Pie

@BobbieTheFish

Жыл бұрын

No, Pi x e ≠ Pi + e

Euler's number and pi are those 2 characters who keep reappearing every arc

@isavenewspapers8890

4 ай бұрын

Yeah, but e doesn't really get a lot of screen time until the calculus arc. (Best part of the series, in my opinion.)

π=e=√g=3

Learning this in algebra II rn. Cool stuff

love this dude!

Me, a scholar: "Haha, but e is not a number you silly goose, you goose that's silly."

Jack harlow be mathin'

If you're advanced enough in maths, you can make e, pi, and i appear from thin air. Especially in physics.

Rick if he succeeded in rejecting the portal gun

The clocks in the background 😂

i dont know if the math or he terrifies me more... but I like it

I'll be honest, when I first learned about e, I thought it was freaking black magic. I love e

It’s why “e” is so cool

Just came out of my math class on this 😂🤣

In the 90s it was noted that "e"s are good.

His sleeve got so dirty from erasing the whiteboard

*I‘LL SHOW YOU MORE PLACES LATER*

That’s that rapper innit

please explain us where did e come from, where in nature can we see it

@carultch

Жыл бұрын

Look up the exponential spiral.

my brain stopped braining and i had to watcn this twice to understand

Him: if they give you profits every milisecond you will get x money. Me, IT student: well, yes, but actually, no (rounding problems).

lol “the number e” Most people call it Eulers number

You don’t understand dude until this science shit clicks

So funny how interbound the history of math is with the history of money.

I always wondered what would happen if you tripple or quadruple the rate of interest instead of doubling it.. That should give rise to some different constants too don't you think?

I spent 2 years doing A levels and this only took 1 minutes to understand

The derivative thing is pretty cool.

The number e

If someone same were to plan education, then children would learn squares, square roots, exponents and logarithms early. Because these things affect peoples lives in so many ordinary ways. Pi is very important to Physics and advanced mathematics, but it should come later. Thank you for such a simple video, explaining how society puts fundamental maths in the wrong order.

how i wish my math teachers would have teached me like this. srsly.

Nah e gets plenty of attention because it’s beautiful, a perfect number, almost like it’s a natural part of math

A bank giving me 100% interest every millisecond... Where do i deposit💳👛🏦

He looks like he doesn’t sleep and uses caffeine patches

He is the protagonist in Stein's;Gate

Idk why they're considered different, they're both = 3

Wow shit thank you I went through a whole calc 1 class but now I know why derivative e^x is e^x

I just considered it a variable that would cancel with ln

Katie Porter vibes

I don't think I've ever rounded e to 2.72 lol it looks so weird written like that. Always 2.718

Just divide 100 degrees by your temperature, when in healthy state

@largestbrain

Жыл бұрын

?

I don't understand, because if it's 100% interest per year, starting at $1, how could it ever have more than $2 at the end of the year?

@carultch

Жыл бұрын

Because you compound the interest continuously, instead of just once at the end of the year. The problem is, no one defines interest rates that way, so this premise for defining e makes no sense to most of us.

This is literally life of pie ( pi e ) 😂

The number e. Me: a letter?

@carultch

Жыл бұрын

It's called a pronumeral. A symbol (usually a letter) used in place of a number. It is a coincidence that Euler's name starts with E, and the number he's known for, is also called E. It stands for exponential.

e doesn't get as much credit cuz it's already equal to π as π = 3 = e Yes, I study engineering, why?

@carultch

Жыл бұрын

Yeah, what engineering class do they tell you to approximate both pi and e as 3?

"The number e" Lemme stop you right there boss, I got some questions

@isavenewspapers8890

4 ай бұрын

You see, it all began when mathematicians realized they needed some kind of symbols to represent some of their numbers. One day, one of them was rooting around in a box and found a sheet of paper. "Hey, what's this?" they said. "The... the 'alphabet'? Huh." And it was good.

Not in math course this year apparently

I need a whiteboard

"The number e"

Anyone who thinks the number _e_ is unimportant has probably never studied any form of mathematics beyond middle school.

So that's why it's so grEat. I lovE E EvEn morE now.

“Where it pops up” you mean where it was invented? Lol

@quacksly509

9 ай бұрын

Numbers are not invented, they are discovered

I've always said my favorite number was e! Edit: not e factorial I just really like e

Don’t forget about the number i

Took me a year to understand it. No one could answer what is E

Man I found my copy I love math but don't know yet much of it

The number E .... I've been lied to these whole years

@largestbrain

Жыл бұрын

What did they tell you

@isavenewspapers8890

4 ай бұрын

@@largestbrainThat e is a letter. The joke, of course, is that "e" can refer both to a letter and to a number.

@largestbrain

4 ай бұрын

@@isavenewspapers8890 no

E? Nah bruh hit me with that μ

i hate that this is the textbook definition of e because there are so many other more interesting ways to define e

@isavenewspapers8890

4 ай бұрын

In math teaching, we like to go for clarity over interestingness. What definitions of e do you consider interesting?

@Abstract_zx

4 ай бұрын

@@isavenewspapers8890 in terms of clarity, expressing e as the sum of the inverses of all the factorials plays directly into e's role in calculus and can quickly lead to proofs of some of its properties, all the way to Euler's identity, my main issue is that the bank interest problem doesnt lead to as many insights about why e is so useful in terms of interestingness, here are a few integral(1/x dx) from 1 to e is 1 (-1)^(-i/pi) = e (from euler's identity) solutions of dy/dx = y (kind of an obvious one to anyone who has studied calculus) There are all sorts of crazy definitions that can be derived from euler's identity but the one i put there is a simple algebraic rearrangement of the theta=pi version

I can’t tell if his arms are too long or too short.

@isavenewspapers8890

4 ай бұрын

Why and by what metric are you judging the lengths of people's arms?

This is how you get rich. Small frequent investments compount and you end up making a constant multiple

You lost me at “e”

Oh yeah e is pog

Does this bank accept customers?