A quick introduction to torsion (how is this differ from curvature?) Calculus 3
Рет қаралды 3,140
Ай бұрынCalculus 3 lesson on what torsion is! Torsion is "how much twisting is for B, the unit binormal vector". We will discuss the definition of torsion and compare it with the curvature.
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@phill3986 Ай бұрын
7:19 I know it doesn't matter here because NxdT/ds is zero, but for good form, shouldn't that be dT/dsxN?
@phill3986 Ай бұрын
I believe d(uxv)=uxd(v)+d(u)xv. Order matters in the cross products
@urgjendevetak3605 Ай бұрын
yes it should, you are correct.
@bprpcalculusbasics Ай бұрын
Yes, you are correct!
@AbstractNoesis Ай бұрын
Can I just say one thing? These calc 3 videos are awe-inspiring. Your 3d skills are better than my imagination, so much so that I am motivated to learn how to draw volumes and curves in such an aesthetic way. The spherical coordinate vs other coordinates video and the thing you said about the laser was so eye-opening to me that I'm going to remember it till my last day, and from now on I'm also going to think about you whenever I am in a rollercoaster. I just watch your videos for fun for the last 4 years and your excitement often helps me cheer up when I'm having a blue day. You are the best educator I've ever seen and many people like me haven't even had any course on the stuff you teach, but still they watch you for fun. I am greatful to the universe that you exist. I hope I meet you some day. Love from Greece!
@bprpcalculusbasics Ай бұрын
Thank you very much for your nice comment. Best wishes to you!
@phill3986 Ай бұрын
Yes very good. First time I've seen the binormal and torsion covered this deeply.
@bprpcalculusbasics Ай бұрын
Just remember roller coaster!
@joeythreeclubs Ай бұрын
Hey, the video stops abruptly for me, and I see comments with time stamps longer than the video. Anyone else have this problem?
@bprpcalculusbasics Ай бұрын
I had a mistake in the video so I had to trim it. The continuation of the video is here: kzfaq.info/get/bejne/fd5ke5SCuau0nI0.html
@joeythreeclubs Ай бұрын
@@bprpcalculusbasics Thank you!
@marcuslee7575 Ай бұрын
Not sure how I got here but I thoroughly enjoyed this
@matte14-70 Ай бұрын
In Italy I’ve studied this at the second year of engineering at the University (Exam of Rational Mecanics)
@cdkw2 Ай бұрын
Hello bprp, you got any calculus book recommendation for someone who is going to college next year?
@aliawahab723 Ай бұрын
Oh great that is what i needed Fleming right hand rule in math what is next?
@major__kong Ай бұрын
I had a whole course in vector calculus in grad school. You ain't seen nothing yet :-)
@mordy2636 Ай бұрын
Is this similar to testicular torsion?
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