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This is crazy stuff...... Blown up my mind

I worked for a bank where savings account interest was compounded continuously. I used both Euler’s Number e and natural log ln quite frequently. Your explanation made sense to me. Next time you are talking to a banker ask for a proof of how your savings interest (Annual Percentage Yield) was determined. I bet no one in the bank can do the calculation let alone explain it.

Too much complicated

Fail.

The fact, that the language of the Math is not comprehensive to me, makes me sad.

scalability of large numbers by a factor, decimal converter? Used highly in diff eq, the visual helps, thanks, now how to upscale control theory into life?

Up until your discovery of constant-variable lambda I felt I was with you. From that point on I would need much more graduation. Very unfortunately I lost you from that point on. David Lixenberg

Tipical american: all about money.

Isn't dr/ds the unit tangent vector, whilst dr/dt the actual tangent vector ?

Hot Tip: (1.0000000001)^⁹ = e This is the smallest number taken to the exponent of its decimal place which is e, or 2.718.... Just add more zeros between the ones and take it to a higher exponent to get "e" with more decimal places.

E

Great video explaining e. I never thought e can be describe as "the self referential growth or decay" of itself. Nice!!!

Trancedental number like pi and square root of not perfect square

I'm sorry, but to ignore calculus in a video trying to give an intuition for e is a somewhat baffling move, since what makes e significant is its use in calculus (specifically for taking the derivative or anti-derivative of an exponential). Walking through how solving f'(x) = f(x) naturally leads to an exponential, and further showing that the base of that exponential is an exact constant, also gives an intuition on why it matters in chemistry and physics, after perhaps explaining why exponential equations are used to model how certain kinds of systems evolve (and how the past of them can be predicted) based only on some constants of the system and the current state.

This video is incredible. Keep up the good work!

Thanks for making this video sir, really helpful

very helpful！

No fire:(

I really wish the rest of this playkist was out my midterm is on Wednesday and this is so much more helpful AND ENTERTAINING than the explanations I've seen so far. SO MANY PEOPLE MAKE MATH BORING, you do not, thank you

This is extremely good

I think the basic line integral is a weighted sum of infinitesimal vectors. The result is again a vector. Taking the length of ds complicates matters, and generates a big discrepancy with line integrals in the complex analysis.

Time Dialation,continuum only correct at that exact moment,,benchmark that point x,2x+5 =8')

*Everytime*

Continuum has time dialation,only true at that exact moment new computing has up charge

π has a solution,a circle Alfa and Omega

Time dialation,only correct at that moment time is a continuum

X,2x+5=8')

1:06 nor is pi. Pi is irrational and cant be expressed as a ratio of two numbers.

Yet another rehashed bad way to teach e. Not knocking Foolish Chemist. It’s a good math video. We tend to teach math by backing into concepts from an historical perspective. Instead we should relegate the arduous path to discovery of things like e and i to a math history class. Now that we have a better understanding of these concepts we should start with a modern perspective.

E is a letter that represents a number of

So Euler's number is the same as natural log. 2.718281828459 ?

This is exactly how my tutor explained e

wtf is h

You seem to have accidentally given one of the great argument for why τ (the ratio of a circle's circumference to its radius) is more practical than π (τ/2), right at 18:31 !

😞 Someday, I'd be smart enough to understand this.

Here is e in one sentence: The only value where the derivative of a^x = a^x

this guy deserves mora than 1M subscribers

Good video on euler's number

Hi, can you please provide link for website you used to generate the vector fields

How long mixture last, can you make the mixture and store it for future use will it still be effective.?

Nicely explained though It was difficult to understand why you were applying the lambda exponentials.

The most popular definitions for e: The one in this video: e = lim(n to inf) of (1 + 1/n)^n The infinite sum of 1/n! starting at 0 (n! = 1*2*3*4*.....*n) e is base for the natural logarithm e is the base for the exponential function exp(x) where the derivative of that function is also exp(x) so f(x) = f'(x)

The reason we choose 100%(100% = 100/100 = 1) is because 1 is the multiplicative identity over the real numbers(and all of the numbers you will ever use)

"It's the constant of self-similar change" is my best pre-video attempt at distilling e in one sentence.

just a clown

Great video! What tablet device do you use to write on in videos?

Thank you !!!!

The Goat is back🎉

Thank you for making this

Doode ur the goat