I have a nice interpretation for this line integral: The line integral is equivalent to twice the surface area of a surface containing all of the straight lines from (0,0,0) to anywhere on the helix. That surface would like like a sort of a wierd rose.
It's close but instead of multiplying by two, the integrand is the square of all those distances. The way he noticed it was probably because of the Pythagorean Theorem (in 3D) Edit: *integrand, not integral. The integral of the square is not equal to the square of the integral.
nice video, gonna show this integral to some people at uni tomorrow. could it be possible to integrate over a surface constructed by concentric helixes (heli??) if you see what im trying to say
I wonder... if there exists a continuum of functions using arrow notation. Like, if we assign 1 to addition, 2 to multiplication, 3 to exponentiation, 4 to tetration, etc... what would 1.5 be? 0.5? Where would the limit of a log function, or an exponential, go?
a possible interpretation with the mass of a wire: (6*pi*2^0.5) being the length of helix, (12*pi^2+1) is the average linear density over length of helix
The integral of e^(iwt) does it perfectly. (It works for volume, not line lenght. Because we'd need |df/dt|^2 and |z| is not linear and |Z| for complex number must be done by part. Actually, since this is a helix with a constant frequency, we could do it by parts. (But we'd only do 1/4 of a turn). Multiply by 4 for a turn. Multiply by L/l Where L is the lenght of the elipse and l is the lenght of a turn and you have it. Double actually: If we uses Euler identity and just uses a bit of logic, we get exactly back to the 5:31 step.
Dear Dr Peyam! It is very pleasant to watch your videos. Please, can you tell me your e-mail, I have quite a complicated problem to share with you. If you could even help me with it, I would be extremely thankful. Yours sincerely. Thanks in advance.
Nobody:
Peyam: Integral over human DNA because why not?
DNA is a double helix structure
@@pandabearguy1 which RNA would be best?
A helix? Is it spring already?
I have a nice interpretation for this line integral:
The line integral is equivalent to twice the surface area of a surface containing all of the straight lines from (0,0,0) to anywhere on the helix.
That surface would like like a sort of a wierd rose.
How did you figure that?
Oh, nevermind, i think i have a mistake.
It's close but instead of multiplying by two, the integrand is the square of all those distances. The way he noticed it was probably because of the Pythagorean Theorem (in 3D)
Edit: *integrand, not integral. The integral of the square is not equal to the square of the integral.
@@mountainc1027
Yes.
@@mountainc1027 Yeah that would do it
😅😅😀😀sir🌹🌹 I love ur teaching style..🙏🙏🙏🤗🤗🤗
nice video, gonna show this integral to some people at uni tomorrow.
could it be possible to integrate over a surface constructed by concentric helixes (heli??) if you see what im trying to say
I wonder... if there exists a continuum of functions using arrow notation. Like, if we assign 1 to addition, 2 to multiplication, 3 to exponentiation, 4 to tetration, etc... what would 1.5 be? 0.5? Where would the limit of a log function, or an exponential, go?
I've wondered this for so long. mathematicians need to step their game up and work on this field lol
If this is created, then we could assign a value to every function based on its growth rate.
Could I use this for calculating the volume of a spiralling light bulb?
Fine...but too simple for you Professor!
Beautiful......
Nice Sir 👌 India
What is the shape of the area this gives? It is possible to integrate even don't know what the result represents.
a possible interpretation with the mass of a wire: (6*pi*2^0.5) being the length of helix, (12*pi^2+1) is the average linear density over length of helix
The integral of e^(iwt) does it perfectly. (It works for volume, not line lenght. Because we'd need |df/dt|^2 and |z| is not linear and |Z| for complex number must be done by part.
Actually, since this is a helix with a constant frequency, we could do it by parts. (But we'd only do 1/4 of a turn). Multiply by 4 for a turn. Multiply by L/l Where L is the lenght of the elipse and l is the lenght of a turn and you have it.
Double actually: If we uses Euler identity and just uses a bit of logic, we get exactly back to the 5:31 step.
Seems like all the maths TH-camrs have fallen by the wayside, except for the legendary Dr Peyam
Mathematicians do c any stuff **insert Numberphile video**
Where does the “ds” come from?
Line Integral Derivation th-cam.com/video/CxxqH0pwq8o/w-d-xo.html
Well, that certainly took an interesting turn.. or three. :P
I see what you did here
Hahahahah what a coincidence, 😂😂😂😂 I'm reading helix on vector space
*SQUARED*
Why the helix goes 3 revolutions?
How do you know that ?
0 to 6pi
Nice! (no need to say more:)
I swear Mathematitians can only think about density and mass when giving examples about line integrals xd
Dear Dr Peyam! It is very pleasant to watch your videos.
Please, can you tell me your e-mail, I have quite a complicated problem to share with you. If you could even help me with it, I would be extremely thankful.
Yours sincerely. Thanks in advance.
Noice.