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For 1" /, the dual vector space to is given by integrating against functions in , where .This makes sense because of Hölder's inequality for integrals.More traditional sites may offer anything from a simple search to a highly specific advanced search.Examples within this category include Jdate for Jewish singles, Geek2Geek and Farmersonly for farmers and the people who want to meet them.The app is available in over 80 countries and has over 27 million searchable members.Our is a unique dating site specifically catered to people over 50.Defining This is not a norm because it is not homogeneous.Despite these defects as a mathematical norm, the non-zero counting "norm" has uses in scientific computing, information theory, and statistics–notably in compressed sensing in signal processing and computational harmonic analysis.

As in the case of an L2-space, an -function is really an equivalence class of functions which agree almost everywhere.

It is possible for a sequence of functions to converge in but not in for some other , e.g., converges in but not .

However, if a sequence converges in and in , then its limit must be the same in both spaces.

An integral instead of a sum is used to define the are sometimes called quadratically integrable functions, square-integrable functions or square-summable functions, but sometimes these terms are reserved for functions that are square-integrable in some other sense, such as in the sense of a Riemann integral (Titchmarsh 1976).

If we use complex-valued functions, the space except in some trivial cases.

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