Differentiate between Euclidean and complex Euclidean spaces. How Schwartz inequality is modified in the case of complex Euclidean spaces

Q: Prove the Triangle Inequality |v+w| <= |v| + |w|  (Hint: Use Cauchy Schwartz)

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Q: Prove by any method that the interval (-1, 2] is not a compact subset of R. Explain each step in…

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Q: (1) Construct an example for three distinguish points A, B and C in a 3- space for validating the…

A: For every three-dimensional vector a→=ai^+bj^+ck^, the corresponding point has the coordinate a,b,c.…

Q: Prove or give counter example an infinite product of discrete spaces may not be discrete

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Q: 2 points Give the definition of a homotopy equivalence by filling in the blank: Arowomon a timdua…

A: Given: Fill in the blank is given with respect to the definition of a homotopy.We need to fill in…