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This man explains math in such an intuitive way and his videos are rlly high quality, but he only has 15k subs. Actually underrated fr

@ExtraTrstl

6 күн бұрын

For real. This is some of the most accessible and coherent explanations. Dude is one of the best teachers I’ve ever had.

@2kchallengewith4video

6 күн бұрын

A very underrated math channel for sure

@Tristanlj-555

5 күн бұрын

One of the rare times “underrated” is used correctly:)

@westongunningham7151

5 күн бұрын

I'd just like to say I followed him before 5k

@AdityaPutatunda

5 күн бұрын

Agreed! The same way your comment needs some vowels

I have a presentation for an important exam in literally 2 days that is exactly about the number e, as well as the exponential function; and a video such as this one truly is appreciated edit : i went crazy with it tysm

My favorite representation is the Taylor's Series, because it relates e with sine, cosine, i, pi, sinh, cosh and hyperreal calculus. Also, as an infinite series you're mind blown when you see that it's derivative is really itself!

e is the most insane number I have ever seen. I started learning it yesterday and I was shocked when I realized how versatile e is. For example the derivative of e^x is e^x and e^((x^h-1)/h)=x as h approaches zero

@Simpson17866

2 күн бұрын

You can approximate e to 18 trillion trillion decimal places using the digits 1-9 once each :D (1 + 9 ^ (-4^ (7*6)) ) ^ (3^2^85)

I'm a math graduate and I find your videos to be educational even to me! Keep up the good work the quality is top notch my friend!

@DrSeanGroathouse

23 сағат бұрын

Thanks so much, I'm glad to hear that!

Both levels 4 and 5 are mind-blowing. Well done!

A letter duh

Level 5 was mind blowing. Never heard this before.

@DrSeanGroathouse

Күн бұрын

I'm glad you liked it! It's probably my favorite

Great job! By far the best explanation I found 👏👏👏let's get that KZread algorithm going, this channel needs way more exposure!

@Fire_Axus

4 күн бұрын

no

another great video!

Superb. Far away, the best explanation of e.

E as I use it: Exact; Equivalent; Expression (energy), e^i for 'computational cost' but the most [E]vil way I use it, as to denote exponential constant values, for scaling of base 3/4 calculation expressions into self-similar real-number ratios of irrational "digits" being operated on logarithmically.

@AndrewDangerously

3 күн бұрын

Can you explain this at level 1 and 2?

@jaymethodus3421

3 күн бұрын

@@AndrewDangerously It would require an exponential amount of text. Do you describe that 'amount' of that text using units derived from paragraphs? from words? from characters? From sentences? Pixel on/ off rate? The various electrical circuitry quantitues, taking their own exponential functions into account of this unknown value exponent? See, 0,1, and 2, are not real. 3 is where the real value baseline begins, as far as the instructional code for reality. 012 is a *continuum constant* that acts as a function instructing relative operational order of value exchange between real quantities. Dimensions aren't real. Yet trigonometry is extremely correlative to the deep-scaling of that very concept. Idk what to call my theory yet, but seems to be very well supported by every stone I turn over in my expansive search.

@jaymethodus3421

3 күн бұрын

@@AndrewDangerously Uhh. I tried... So 1^2 is 1. Terrence Howard really screwed me on this shit ngl lol.... but he's crazy. And I'm both/neither. He is onto something deeply irreducible about the discrepencies of '1', '0', and 2; to the exponent of the discrepancies from using -=X/ as our 4 highest order "math operations". 1 is actually an irreducible scale unit that represents an infinitely irreducible and unique value composed of higher and lower order integral values as they are ALL, mutually calculated. In %base10linear: 1=sqrt(-2)

@jaymethodus3421

3 күн бұрын

@@AndrewDangerously How's that for level 1 and 2? Pun intended lol

@jaymethodus3421

3 күн бұрын

Terrence has glimpses and he's high EQ, he knows what he saw, and he just runs with it. But he has no idea wtf he's talking about it what it actually means, or when and where to actually appy it without sounding like a snake oil salesman.

Great video, I love it❤

Quality is absolutely crazy

I love this channel so much.

@DrSeanGroathouse

Күн бұрын

Thanks so much! I'm glad you like it

McLovin's smart doppelganger

The derivative part of level 3 made me literally put down my book and go “whoa” when I read it. That’s the version that finally made e click for me.

The last one took me by surprise ahah

Yeah, baby, yeah!

I was expecting the final level to be some circles in the complex plane.

I'm sorry, i dont get the Limit at 5:30: e^x lim((e^h-e^0)/h) is 0/0 for h-> 0. Meaning you have to do l'hospital. But dir this you have to differentiate e^x and you start all over again. How do you know it's 1? By stating it 1min earlier?

@joelganesh8920

5 күн бұрын

As stated in the video, the limit is the definition of the derivative of e^x at x=0, which was already assumed to be 1.

@sachavalette1437

Сағат бұрын

exp is the reciprocal function of ln so its derivative is 1/f’(f^-1(x)) = 1/(1/exp(x)) = exp(x). This is how to prove it.

Care to do a Level 6 for Rotors?

There are more ways to intuitively think about e. My favorite is the “e is the image of 1 by the exponential function” approach. But for that to really make sense, you would have to really understand what we mean by the exponential function and its many definitions. The exponential function can be defined as the inverse of the natural logarithm, but I find this definition to be superior: the only function whose derivative is equal to itself and is 1 at 0.

In high school calculus, our teacher taught us a mnemonic device for the approximate value of e. Think of a picture of Andrew Jackson in a square frame with a diagonal line from one corner to the other corner. Andrew Jackson served 2 terms, he was the 7th president, he was first elected in 1828, because he had 2 terms, we use 1828 twice. And the angles in the frame are 45-90-45. So, 2.718281828459045

@bsbrawl1653

5 күн бұрын

😮 cool

@ianbennett2443

5 күн бұрын

unfortunately, i know more about integrals than i do us history

@andyghkfilm2287

3 күн бұрын

Agh but what if I don’t know what Andrew Jackson looks like??

@jeremyi4693

2 күн бұрын

​@andyghkfilm2287 think of a square with the name Andrew Jackson written in it.

@carultch

3 сағат бұрын

@@andyghkfilm2287 He's on the most common printed bank note of US currency. He's Mr $20 Bill.

Why you look like Sheldon´s brother 😀

@carultch

3 сағат бұрын

He doesn't look anything like Georgie.

@orologioimpazzito

Сағат бұрын

@@carultch 😪

e > π calculus > geometry i will die on this hill

@sebas31415

6 күн бұрын

What about Calc 3 and 4 which touches on geometry (as in proof of area, surface area, and volume formulae)

@danmiltenberger5616

6 күн бұрын

2.718 is not > than 3.14.........

@unicorn3232

6 күн бұрын

@@sebas31415 that is barely geometry tbh, and that's actually fun

@Cow.cool.

5 күн бұрын

Abstract linear algebra > calculus any day

@hydropage2855

5 күн бұрын

@@sebas31415I’ve definitely seen you before somewhere else. Another gd player

cool

*E*

e

@carultch

3 сағат бұрын

Integral z^2 dz From 1 to the cube root of 3 Times the cosine Of 3 pi over 9 Is the log of the cube root of e

Engineers: e=pi=3

a medical doctor and a mathematician! congrats!

👀

why sponsor this video?

@JJW410

3 күн бұрын

So he can earn money?

Nice video but at 5:40 you skipped why the limit simply equals 1. You can't just wave your hands and make it so as the limit tends to 0/0.

@joelganesh8920

5 күн бұрын

As stated in the video, the limit is the definition of the derivative of e^x at x=0, which was already assumed to be 1.

Otters 🦦