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How is infinite-dimensional space different from finite-dimensional space, other than being “more so”?

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How is infinite-dimensional space different from finite-dimensional space, other than being “more so”?

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• Discuss Cantor’s theory of the cardinality of sets. • Describe the theory of determinants and permutants. • Describe how rotation and projection matrices are used in 3D computer graphics, or write a C++ program which illustrates them.

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