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You are just wrong. For example, algebraic topology is one of the most abstract subjects I hear conversations about week. It has applications in physics, data
by rsofaer 14y ago
You are just wrong. For example, algebraic topology is one of the most abstract subjects I hear conversations about week. It has applications in physics, data analysis, and numerical computing.
Also, saying that reality is 4-dimensional is hooding yourself. The machine learning techniques we use everywhere depend on the math of higher-dimensional spaces, and they wouldn't work if reality couldn't be meaningfully viewed as many-dimensional.
- Evbn 14y agoPlease share a link to an example paper published by a pure math department.
- xyzzyz 14y agohttp://arxiv.org/pdf/1303.2807.pdf http://arxiv.org/pdf/1303.2807.pdf Went to the Arxiv into the Algebraic Topology category. Any comments?
- oscilloscope 14y agoHere's one I've been struggling with lately: Parallel coordinates representations of smooth hypersurfaces. I'm not aware of extensive reseach of the parallel coordinates geometry prior to 50 years ago. http://www.cs.usc.edu/assets/004/83248.pdf http://www.cs.usc.edu/assets/004/83248.pdf
- rcfox 14y agoMachine learning casts a problem into higher dimensions in order to linearize it. Linear problems are easier solve, and can be projected back into the original space. An extra dimension is literally just another variable, which doesn't necessarily have a physical meaning.