I think the simultaneous solving of the general form and example is absolutely brilliant from a teaching perspective. If I am ever teaching someone a math concept in the future, I will do the same thing.
You are actually NOT explaining WHY the vector tangent function of time is the derivative of the parameter vector function over its magnitude «not the size, size is something physical, and time can be understood as relative motion in an abstract or ideal sense», in other words WHY T(t) = S'(t)/||S'(t)||.
'Find you is demonstrating your irrelative capabilities neglecting what we wait for to understand, same as you were doing before, please be more specific.
why you jump from k = ||dT/ds|| to T(t)= S'(t)/||S'(t)|| , can you explain what is the intension clearly every time you switch to another direction. don't spend time saying "potential ppl understand it wrong" "a normal version is complicated ^(*&%^&**&" this words does not explain things, talk with content every minute ! i don't understand this video. you should focus on main line.
I think the simultaneous solving of the general form and example is absolutely brilliant from a teaching perspective. If I am ever teaching someone a math concept in the future, I will do the same thing.
I know that voice. Awesome video 3BlueOneBrown!
Master Möbius Same, “Möbius” Strip.
Unit vector tangent function.
You are actually NOT explaining WHY the vector tangent function of time is the derivative of the parameter vector function over its magnitude «not the size, size is something physical, and time can be understood as relative motion in an abstract or ideal sense», in other words WHY T(t) = S'(t)/||S'(t)||.
3Blue1Brown?!
excellent but what software is khan academy using to illustrate and annotation? i'm not having success on zoom using my pad for student's notes.
Can you do some example questions?
Does this apply the same for functions in the x-y-z plane?
Sure, maybe with some moderation because we deal with 3D curve here.
Arc length => Surface area
1 tangent vector => 2 tangent vector = tangent plane
I think the 2d one also work for 3d but only if you slice that 3d surface, giving you a 2d curve that you can calculate it's 2d curvature
@@That_One_Guy... Yeah, me too, kind of like in a partial derivative
in the next video you make it clear the right side is for circle, the left side of broad is for a normal situation.
why is arc length different to t?
Because different differences of t-values can result in different changes to arc length; some parametric functions can model the same curve.
Change in arc length is a function of t, but not t itself. It depends on how the curve has been parameterized.
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@Ethan Crouse 3
'Find you is demonstrating your irrelative capabilities neglecting what we wait for to understand, same as you were doing before, please be more specific.
Thank you! Shout out to @3Blue1Brown !
why you jump from k = ||dT/ds|| to T(t)= S'(t)/||S'(t)|| , can you explain what is the intension clearly every time you switch to another direction. don't spend time saying "potential ppl understand it wrong" "a normal version is complicated ^(*&%^&**&" this words does not explain things, talk with content every minute ! i don't understand this video. you should focus on main line.