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Mathematical constructions, number systems. In 3D-graphics quaternions are used alongside vectors and matrices. One of the benefits of quaternions is that they overcome some rotational problems (known as gimbal locks) that are inherent to vectors and matrices.
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Applying angular velocity to quaternion
In his book, he represent an orientation of rigid body by quaternion. I don't understand the formula where he apply angular velocity to the quaternion. … I understand basic quaternion operation like representing axis angle by quaternion and rotating a vector by quaternion. …