Method 5: Plugging the integral into Wolfram Alpha.

@drpeyam

5 жыл бұрын

Hahaha

@patricksalhany8787

5 жыл бұрын

Believe in Peyam not in Wolfram Alpha.

@patricksalhany8787

5 жыл бұрын

Btw dr. Peyam, I think this playlist, about the Gaussian integral, is my favourite out of all your playlists.

@drpeyam

5 жыл бұрын

Thank you!!! 😄

@davidbrisbane7206

3 жыл бұрын

Method 6: Pay someone else to do it.

_Mr._ Feynman had just absent mindedly answered "both" to "cream or lemon" asked by the dean's wife at a tea for new grad students at Princeton...

Nice as always. Really enjoying this series so far.

Hey I was in my calculus class yesterday and my teacher was talking about solids of revolution. We rotated an arbitrary function over vertical and horizontal lines and I wondered: what would be the formula for the rotation around a line on the form y=ax+b? What if we rotate f(x) around a non linear function, such as x² or 2^x? Would that even be possible or make sense? Make a video about it

@drpeyam

5 жыл бұрын

There will be a video on that, actually 😉

@FishSticker

Ай бұрын

There is a linear algebra/trig method of modifying the x and y in a relation in order to rotate the function, I reckon you could do that to find the function in a frame of reference that’s equivalent

Are you folks able to see the board at the far end? I need a pair new glasses. But the contents is good

Been waiting for this! You're the best professor :)

@drpeyam

5 жыл бұрын

Awwww, thanks for watching! It always makes my day when my (former) students are watching my videos!

Whenever I watched your video... You are always happy.... Is there any secret about your happiness? 😇...and always awesome method... 😘

@lunaleonem3378

4 жыл бұрын

It is called math.

@rishinandha_vanchi

3 жыл бұрын

ikr

You ”think” it’s ok? Wonderful 😎 Just love your vids! ❤️

It's a great great great video. Thank you so much, Doc!

You lost me at F(t) When you said we are gonna assume How my brain is even supposed think of this You are the best!! 😍😍

Nice way

I am the sort of stuck if we have the same integral only x square is in multipication with the e^_×^2 I wonder if you could do that , thanks

Had my linear algebra 1 exam today and thought: "man, I need an exam full of integrals. Everythings else sucks." xD But your videos on l.a. helped me out there quite a bit. And then there were vectorspace-homomorphisms and I was done.

@drpeyam

5 жыл бұрын

Thank you!!! 😄

@skeletonrowdie1768

5 жыл бұрын

Crystal-Math lol everytime i have to multiply matrices i end up searching up how to do it.....

@Tyler-ek6od

5 жыл бұрын

@@skeletonrowdie1768 just remember row vectors dotted with column vectors

@pbj4184

3 жыл бұрын

@@skeletonrowdie1768 Also remember that the position of the element which we get by adding the products of the corresponding elements of the ith row of the first matrix and the jth column of the second matrix is ij in the product

This is awesome! The tricky bit is coming up with that original F(t) function, the rest is actually pretty standard!

@gustafwiklund4740

2 жыл бұрын

yes i found that difficult too, how did you do it?? im getting desperate...

Please put the camera in the marker tray pointing upward for future videos so we can see the board better

Was waiting for this method since a while

@michelkhoury1470

5 жыл бұрын

yeah, me also

Love it this ways of understanding

Feynman best man

@blackpenredpen

5 жыл бұрын

AndDiracisHisProphet Feynman is the man!

@nanigopalsaha2408

4 жыл бұрын

But Dirac is your prophet...

This content is too good for us

Can we use the Feynman method to calculate this integral from 0 to root 2? I̶'̶m̶ ̶b̶o̶r̶e̶d̶ ̶w̶i̶t̶h̶ ̶i̶n̶c̶e̶s̶s̶a̶n̶t̶ ̶c̶a̶l̶c̶u̶l̶a̶t̶o̶r̶ ̶u̶s̶e̶ ̶i̶n̶ ̶s̶t̶a̶t̶ ̶c̶l̶a̶s̶s̶e̶s̶

Is there a Feynman way for walking?

Grande

Besides the great video, best t-shirt ever!

This is basically Laplace's solution! :/ Feyman gets the credit for Laplace's grinding...

@emanuellandeholm5657

3 жыл бұрын

I was joking, but Laplace really had this idea first. :)

@jacoboribilik3253

2 жыл бұрын

@@emanuellandeholm5657 Stigler's law is something that has been ailing maths for a very long time.

very nice solution

Nice way Dr Peyam but when t = 0 it's not a problem for the integration ? (recall : you divide by t when you change of variable in the integral) Thanks.

@drpeyam

5 жыл бұрын

You’d write it as an improper integral

@dgrandlapinblanc

5 жыл бұрын

@@drpeyam Thank you very much.

Clever I tried using the feynman way but none of the functions I used worked properly.

@kimothefungenuis

4 жыл бұрын

My comment is a year

NICE

good stuff

*Grabs Popcorn*

At first I was confused about FTC, and I googled it. It said Federal Trade Centre! I realised what FTC really means later on.

Great👍

Surely You're Joking Mr. Peyam!!

Please change the position of camera .

@drpeyam

5 жыл бұрын

Ok

👏🏻👏🏻👏🏻

need to change camera angle, can't see the whole board

@drpeyam

5 жыл бұрын

Yep

Это было круто)

nice rolex

57th!

How on Earth do people come up with such methods?!

@jacoboribilik3253

2 жыл бұрын

I assume they work backwards. They are probably juggling around with a function and they see a connection to what they claim to be the first step.

I was like omg...

Otra vez con ese pizarrón ladeado que dificulta la observación 😠

@drpeyam

5 жыл бұрын

Sí

Cool video. I love the gaussian integral. If I had a child I would name him/her the gaussian integral.

Meh angle sucks

@drpeyam

5 жыл бұрын

Ok

I don't know why they call it Feynman's trick. Maybe Feynman used to use it a lot in physics problems ? I took it in third year in a measure and integration theory course, it is called functions defined by integrals, parametric integrals, and continuity and differentiation under the integral sign. We never said the word Feynman in the whole course. I don't think Feynman discovered or introduced or proved these properties, these are purely mathematical properties and don't have their origins from physics, I think he used to use it so much in problems so it is called Feynman's trick, not property or theorem, he was using this trick to solve some hard problems.

@massipiero2974

5 жыл бұрын

It was actually invented by leibniz, but i don't know why feynman is involved 😂

@patricksalhany8787

5 жыл бұрын

Same here bro, ok he used it so much in problems, but why should it be referred as Feynman's trick or Feynman's integration trick? He has nothing to do with it, except using it a lot after a great mathematician discovering it, and proving it, or maybe even another mathematician proving it(generally speaking). Yeah I think I saw it somewhere as Leibniz's theorem or something like that, I don't remember well, I could be wrong.

@patricksalhany8787

5 жыл бұрын

I hate when someone (a mathematician for example) dicovers or develops a theory in maths just to use it in another domain. Like calculus, they say that calculus is invented to be used in physics, and others say that calculus is physics but written in a rigorous and mathematical way. NO !!! Calculus is a part of Mathematics, like Geometry, Algebra, Topology, Arithmetics, Statistics, Probability,... Ok it has A LOT of applications in physics, but it IS Mathematics. I do the maths for the maths, and not for anything else, I don't care.

@shambosaha9727

4 жыл бұрын

@@patricksalhany8787 Pure mathematician spotted

@shambosaha9727

4 жыл бұрын

@@patricksalhany8787 You may do mathematics for the sake of mathematics, but many fields of mathematics have had their origins in physics. For example, calculus originated due to Isaac Newton trying to make the law of gravitation mathematically applicable. Fourier analysis emerged due to Joseph Fourier trying to understand how the temperature on a rod with a certain temperature distribution will evolve over time. Riemannian geometry, although originated as a part of abstract mathematics, was largely developed due to its application in the General Theory of Relativity. Two of the Millenium Prize problems are actually problems from physics (Navier-Stokes smoothness and existence problem and Yang-Mills mass gap problem). Thus, please don't hate applied mathematics. Rather, let us appreciate the mutual embrace of mathematics and physics and how it helps us to have ever more better descriptions of our universe.

Far end of the board is not visible

@drpeyam

5 жыл бұрын

I know