From Wikipedia;
"A real or complex Hilbert space is a real or complex inner product space that is a complete normed space (Banach space) under the norm defined by the inner product."
Great. Er, what does it mean? Mathematicians are crap at explaining things in laymans terms. This definition is OK if you already understand the thing. Wikipedia should be there to inform everyone and have several layers of explanation; beginner, middle, expert. Mathematicians seem to write in this dense way just to impress other Mathematicians with how succinct they can be.
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