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Schwarz Inequality, also known as Cauchy–Schwarz inequality, Cauchy inequality, or the Cauchy–Schwarz–Bunyakovsky inequality, is useful in many Mathematical fields such as Linear Algebra. This Inequality was formulated by Augustin Cauchy (1821), Viktor Yakovlevich Bunyakovsky (1859) and Hermann Amandus Schwarz (1888).
The uncertainty principle of quantum mechanics, which relates the incompatibility of two operators, rests on [...]

by CARIEL O. MONTALBAN

In quantum mechanics, I have learned that the wavefunctions, , reside in Hilbert’s space.  What is Hilbert’s space? I guess to answer this question requires exploring the basic  properties of Hilbert’s space.
Hilbert’s space is a linear vector space whose elements, entities or components obey certain rules or axioms.  This means firstly than [...]