danijar
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 Sep 24 awarded Autobiographer Sep 3 awarded Critic Sep 3 accepted How to find the optimal mapping between two sets? Sep 3 asked How to find the optimal mapping between two sets? Apr 15 accepted Is it possible to generate a circle with a Bezier curve? Apr 15 asked Is it possible to generate a circle with a Bezier curve? Jan 4 awarded Commentator Jan 4 comment Proof that $\frac{(x+y)-abs(x-y)}{2}$ equivalent to $\min(x,y)$ Thank you. By the way, I think we could define $abs(x)$ as $sqrt(x^2)$. Jan 4 accepted Proof that $\frac{(x+y)-abs(x-y)}{2}$ equivalent to $\min(x,y)$ Jan 4 comment Proof that $\frac{(x+y)-abs(x-y)}{2}$ equivalent to $\min(x,y)$ Thanks, so the one is just branch less notation for the other. Just for curiosity, can one write any function that uses cases without using them? Jan 4 asked Proof that $\frac{(x+y)-abs(x-y)}{2}$ equivalent to $\min(x,y)$ Aug 9 awarded Quorum Apr 16 comment Commutative applying rotations around three axis Roll doesn't affect the sphere. It rolls the object inside the sphere around the sphere's radius. So in you example the roll value wouldn't change at all. Does that make sense to you? It's similar to the fourth component of a quaternion that represents a rotation. Apr 15 accepted Commutative applying rotations around three axis Apr 15 comment Commutative applying rotations around three axis Why would I have to distinguish latitudes for the poles? They are just a point, so I won't matter. Latitude is at least a direction then. I solved my problem using spherical coordinates along with a value for roll. Since your answer lead me to this, I'll mark it as accepted. Apr 13 comment Commutative applying rotations around three axis By using quaternions the angles haven't to be applied separately. So that is an alternative representation of rotations. However, it's not practical for me since you can't easily consecutively rotate an object by just consecutively increasing a value. Instead, you have to take care of circular movement of the nose. As writing that, it comes to my mind that I might want to use latitude and longitude for the noes. Is there a term for rotations represented by latitude and longitude direction and roll? Apr 13 comment Commutative applying rotations around three axis That's why I am looking for another representation for rotation, besides yaw, pitch and roll. It should use three values, too, and somehow must be orientation independent. Apr 13 asked Commutative applying rotations around three axis Mar 28 awarded Scholar Mar 28 accepted How to get angle bewteen two vectors in range -1 to 1 without using arc cosine?