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What is vector space?
A vector space is an algebraic structure with two binary operations, + and *, that satisfy the following axioms: 1) Associativity: a + ( b + c ) = ( a + b ) + c 2) Commutativity: a + b = b + a 3)...
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Prove that Hilbert Space is a Metric Space?
The question doesn't make sense, or alternatively it is true by definition. A Hilbert Space is a complete inner product space - complete in the metric induced by the norm defined by the inner product...
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If were in space then what is space in what is space expanding into?
No one knows for sure. There are theories, but absolutely none of them can be proved, and I doubt we will ever find out. The universe is expanding firther into what was here before the big bang....
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What is space space?
Space, is empty space filled with millions of matter (or atoms) and dark matter. However, dark matter is very rare.
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What is physical interpretation of vector space?
A vector has two properties: magnitude and direction. The representation of a vector is an arrow. The tip of the arrow points to the direction the vector is acting. The length of the arrow represents...