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Anxiety can be as stifling as a broken leg. However, all things being equal, a …

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Franz L. Alt - John von Neumann on Mathematics
Von Neumann went on to say that one need not be surprised at this small number, since about 1,000 words were known to be adequate for most situations of real life, and mathematics was only a small part of life, and a very simple part at that. This caused some hilarity in the audience, which provoked Von Neumann to say: "If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."

My Math Professor - Proving V is a subspace of W
If it is given that V is a subset of a vector space W, then showing that V is a subspace means we must only verify vector space properties three and four for V. That is to say, V must contain the zero vector, and a negative vector for each vector in V. All other vector space properties are implied by the fact that V is a subset of W.