Hope this hasn't been mentioned already but since sinx is an odd function should the result obtained in the numerator at 10:40 be 2[cos(theta/2} - isin(theta/2)? AWESOME VIDEO by the way and thank you!!
I'm just wondering, shouldn't it be 1-i*tan(theta/2) As isn't exp(-i*theta/2)=cos(theta/2)-i*sin(theta/2) not exp(-i*theta/2)=cos(theta/2)+i*sin(theta/2)
The only thing wrong (in the video)was the sign. The parametrization of the path. Therefore the direction is opposite what is said i.e. from + inf to neg inf. so still the equ u=1. He (john) also forgets( to say) the 2 in the denominator i.e. 2 cos (theta/2) the second time. Still (correctly) gets 1. (He didn't need to mention the 2's anyway as they cancel).Don't get 'hung up' on it though. The main point to take away is the excellent trick to allow to simplify.
12:14 it should be a minus sign. But I think even better or even simpler we can use and multiply by 1 - e^itheta num and deno in that part and yields w=1-e^=itheta
Hi, check this app out to learn more about the application of conformal mappings in aerodynamics: play.google.com/store/apps/details?id=com.pand3.studios.engineering.joukowskisimul Thank you.
The first equation is actually w=2/(z-1). Since a 2 and a 'z' look very similar when written quickly, we write our z's with a little line through the middle.
Got to love the little jingle at the start of these UNSW videos
You sir, just saved my skin. Thank you so much!!!
Lovely. Very Helpful, I had completely forgotten doing it the first("Backwards") way and you've helped me a lot. Thank you
I don't understand a thing but love to watch it for some reason. I admire you work, thanks.
this is a great video. thanks! good teaching too. you did 100 times better than my teacher.
At 10:43, there is an error . 2e^(-iphi) = 2(cos(phi)-isin(phi)) not +isin(phi). Thanks for this great tutorial!
Hope this hasn't been mentioned already but since sinx is an odd function should the result obtained in the numerator at 10:40 be 2[cos(theta/2} - isin(theta/2)? AWESOME VIDEO by the way and thank you!!
+Christopher Berghout Yes, quite right -- minus sign error, thanks.
I'm just wondering, shouldn't it be 1-i*tan(theta/2)
As isn't exp(-i*theta/2)=cos(theta/2)-i*sin(theta/2) not exp(-i*theta/2)=cos(theta/2)+i*sin(theta/2)
The only thing wrong (in the video)was the sign. The parametrization of the path. Therefore the direction is opposite what is said i.e. from + inf to neg inf. so still the equ u=1. He (john) also forgets( to say) the 2 in the denominator i.e. 2 cos (theta/2) the second time. Still (correctly) gets 1. (He didn't need to mention the 2's anyway as they cancel).Don't get 'hung up' on it though. The main point to take away is the excellent trick to allow to simplify.
Awesome. Sort of assumes knowledge of polar form and vectors but easily one of the best explanation I've seen
12:14 it should be a minus sign. But I think even better or even simpler we can use and multiply by 1 - e^itheta num and deno in that part and yields w=1-e^=itheta
Your videos are so helpful. Thank you so much.
excellent professor
You are a life-saver!
Thank you for the easy introduction to these topics.
Hi, check this app out to learn more about the application of conformal mappings in aerodynamics:
play.google.com/store/apps/details?id=com.pand3.studios.engineering.joukowskisimul
Thank you.
What does conformal mapping table show? What is its significance?
great video!
How did you go from w=z/(z-1) to z= 2/w+1
The first equation is actually w=2/(z-1). Since a 2 and a 'z' look very similar when written quickly, we write our z's with a little line through the middle.
This is super helpful. Thank you so so much. :)
here in 2024 , sir you are helping w my university studies.
hahaha which uni?
It is actually (2-U)squared
Thank you for your helpful video
thanks that helped a lot
How did |2-w|^2 go to (u-2)^2 + v^2 ??
w=f(z), so you can write f(z) as f(z)=u(x,y)+iv(x,y), where u(x,y) is the real part and v(x,y) is the imaginary part.
it's good job
this video made me cry 🥲
oy senin keline gidiyim kurban olduğum
Isnt it exp(-ix)=> cos (x) -i sin (x) Not cos(x) + i sin(x) ??
kalem tutuşunu yediğim ,sağolasın
thanks a lot
Adil Can Balçık
eheh
Loved it
Thank you
Thanks sir but you were not explicit at the parametrization level I didn’t like it, you confused me more
So where on the W plane is Sydney? And what is its preimage on the Z-plane?? ;)
Thnq sooo much
Boss...you teach like you're tired...no offense...maybe improve