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liorsinai.github.io
| | entangledlogs.com
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| | To visualize quaternions in the fanciest way, visit Ben eater, Quaternion. Euler angles suffer from a problem of gimbal lock. When rotating around a 3-perpendicular axis in euclidean space, if either two of these axes align i.e becomes parallel, it causes gimbal lock. Once the object is locked, the object will lose one degree of freedom for rotation. This video provides an intuitive explanation of the problem. Pitfalls When converting the Euler angle to a quaternion, it will lose some information.
| | thenumb.at
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| | algassert.com
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| | Craig Gidney's computer science blog
| | qchu.wordpress.com
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| Let $latex k$ be a commutative ring. A popular thing to do on this blog is to think about the Morita 2-category $latex \text{Mor}(k)$ of algebras, bimodules, and bimodule homomorphisms over $latex k$, but it might be unclear exactly what we're doing when we do this. What are we studying when we study the Morita...