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Why it would not be negative sqrrt of pie

wrong. if i bet 1 pound at 6/1 i get 7 back

I've seen three proofs and all three are same same but different

very cool!

Plus, the error function is derived from the Gaussian integral.

Awesome video 🫡

This video is AWESOME! I think they skipped this in all my calc classes in college. He makes it so intuitive. I'll def be coming back to this channel

awesome awesome video, thanks a lot!

I really enjoyed your explanation of using Monte Carlo simulation to solve an area under the curve problem. Cheers!

Came back to this video after taking calc 3 and seeing you explaining the gaussian integral without getting into jacobians and double integral mess is absolutely stunning

How can you calculate the volume of cylinders with infinitely thin walls? Doesn't make sense to me! If the 'cylinders were 'solid' it would make sense to me. just subscribed and hoping for an explanation.

Why in the friggin hell do you have to write so small to the point where we need a friggin microscope to be able to watch what you're doing. You remind me of the Indian videos ( from India ) where you can't see anything or hear anything and yet they are gladly putting up videos about complicated subjects. Just saying....

Wow this is just so bloody mystical. Pi doesn’t even appear in e^(-x)2 and yet the volume is pi. this is such a mindfuck of a number.

The law of non-contadiction : nothing is it's opposite, is important technical apparatus for underwriting the operational - institutional * - possibility of equal opportunity, because it functions like a complementary epistemological standard to the ideosyncratic faculties - emotion, inuition, revelation, faith, or some combination of these - for percepto-reason and it's value is illustrated by the Normal Probability Density Function, which returns a unique solution for it's input, however is derived from the equation for a circle, which is a relation with more than one possible output : instead of defining the square root of number representative syntax < . < for " . " multiplied by as < opposite to > , conventionally it is - < and < for " - " negative. * The rules and conventions guiding behaviour.

Well explained

I am not good at English but this video is one of greatest explanation videos I have ever seen. Thank you very much

Got shit on your shirt mate

Lim 2infinity e^-x² x➡ infinity ...idk.

This is such a good explanation btw

6:40 A better method: only generate your x samples. For each x, calculate the y (you're already doing this to decide if an x,y sample is inside or not, so this is the same efficiency). Add all of your y values to a floating point accumulator. At the end, divide the accumulated value by the number of samples to get an average height, and multiply by the width of the domain (10-1=9). You don't even need to know the maximum height this way. In practice, you wouldn't even use random x values, but equally spaced ones. In fact, I whipped this up in Python, and got the answer correct to about 1 part in 10^12, compared to yours at 1 part in 1^4.

in python you should use a for loop, oh yeah plus for loops are faster

Today i learn best use of mathematics application in chemistry 🎉🎉😊😊

So -120 odds means your getting 80% gain? 100-20=80

I'll just echo what others have typed; this is probably the best explanation on math I've ever had.

Mindblowing

The best video I've come across explaining this rule. Thank you.

Choobs

Fantastic explanation of a somewhat abstract idea!

Very good introduction to monte carlo. You are doing a great job, clear concise, spiced with a little humor, no unrelated story telling! Keep it up. Thanks.

I have seen a couple of videos where this integral is solved by substituting x^2 + y^2 = r^2 and letting dy dx = r dr d(theta) and another one where instead of polar coordinates stuff it goes by substitution y = xt. This is the first time I have seen a visual approach and it's really really good... Much appreciated :slightly_smiling_face:

This method is a classic, since you don't have to use the Jacobian.

how did i understand this

I love this.Thanks a lot

This is so beautiful and awesome

Numbers 0 to ????? [Part 11] (4K)

Rnrkrbrbbjrjrrbrrb4jrrbrbbrr

5 5 5

1 = 0

5 10

7 7 9 5 5 10

5 6 12.

7 9

5

10

THANK YOU !!!!!!!!!!!!!!!!

Fantastic It is like... you have to use properties of complex numbers to end out with the error funcion That was very funny to think!!! Thanks a lot for the video!!!

I only understood because I am taking multivariable calculus this semester.

It’s easier too. If you know the gaussian formula, you can moltiplicate and divide that expression for sqrt(2*π*1/2), and drag out the numerator from integral. Now the integral represents the area of a gaussian with mean=0 and variance=1/2 that’s equal 1 and the amount out of integral is sqrt(2*π*1/2), that’s actually sqrt(π). Great video anyway

why do u use hollow cylinders instead of just normal cylinders at 5:50? since u are trying to find the volume under the 2d surface, aren't u adding up infinite number of solid cylinders. (sorry if my qn doesn't make sense I dont major in math...)

Damn math is pretty cool