Linear Algebra 21g: Euler Angles and a Short Tribute to Leonhard Euler

[adarshkishore]

A great tribute to the greatest mathematician Euler, and full justice done to explaining the Euler angles. Thank you, this was a very intuitive video. You broke a seemingly impossible task of an arbitrary rotation to steps so that at the end I figured it out myself. Excellent explanation!

[judahdsouza]

love when you described mathematics as divine

[RalphDratman]

This is outstanding. What a clear presentation. Thanks so much. And what a fascinating discussion.

[palomaramirez]

Very very clear, thank you very much!

[RELC]

All of this guy's videos are fantastic! They've helped me through three different linear algebra based courses and entertained plenty of my free time.

[zaustinz]

Thank you sir, last part of the video explains well the difference of Euler angle vs “cardinal axes” rotation, which I’m so baffled from all the textbook and docs I checked.

[davidpro]

What a legend! Got the intuition I wanted!

[anirbandas]

using the bottle of glue was inspired!!
Lovely exposition.

[omarazami]

Beautiful explanation. It was hard for me to see the utility of Euler Angles in my Mechanics class. A lot has been clarified in this video.

[kevinberger]

I finally understood the Euler Angles ! Thanks a loooot

[anujmishra]

Your description of it at 1:40 was enough for me to complete the picture. Rest was just mathematics. Thank you so muchhhh.... :)

[krakenmetzger]

I think the aviation people have the best terminology. My attempt at translation

Latitude = pitch (nose up /nose down)
Longitude = Yaw (nose left/nose right)
Twist = roll (tilt of the wings)

[vibration]

Thank you sir, it was a really good video, now I understand this in much more clear way

[drkennethwang]

Thanks for the video. Great explanation. Learnt something today!

[Rikus]

Fantastic video, thanks. Well and clearly explained

[screamingpixels]

Great explanation! Thank you so much. You’re amazing teacher

[marillly]

thank you for this! such a great and intuitive explanation!

[newarefreed]

Thank you so much for this! Really helped me. math is beautiful!

[konstantinlozev]

Awesome video! I liked and subscribed! I have a particular issue at hand. I am working with an API that accepts Euler angles (and no, the issue is not about Gymbal lock). The notation of the API is a bit different, but I will go with your conventions. It is about the fact that the local/object space rotates together with each rotation. So, at 0, 0, 0 rotation, if I input rotation around the horizontal x axis, it's all OK, but if I first rotate around the vertical z axis and then input the same rotation around the x axis, the object rolls instead of tilting and I have to input rotation around the perspective/horizontal y axis instead. I have patched it in the code by way of weighing the rotations around the z and x axes by the ratio of the rotation around the y axis to pi/2. It sort of works, but from observation of the behavior of the object, it works when the x rotation plus y rotation are less than pi/2. So, my question is - can I adjust the Euler angle rotations from world rotation coordinate space to local rotation coordinate space without going through rotation matrices?

[ClearNinjaFox]

first of thanks for the Short Tribute to Leonhard Euler
, now im following along but pertaining to my application "Humanoid w/ the same dof as any able human" how do i go about producing formulas to build a matrices for all revolute joints? getting the dof and converting to radiance is not the problem but those are just predetermined data to fill in the parameters but this is all i know besides the linear algebra and trigonometry problem solving, what else am i missing? im reading up on jacobian as well but i guess inverse kinematics is my aim, im planning on learning everything your playlist has to offer but if i can get pointed in a particular lesson to expedite my studies that will be perfect professor, greetings from Boston