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On page 215 of H&H Vector Calculus, Linear algebra and Differential Forms text the authors define something they call the "concrete to abstract function". It is defined as follows:

Let (x_1, ..., x_m) be a point in R^m and let {v_1, ..., v_m} be a set of vectors in V. The, the abstract to concrete function F is given by

F(x_1, ..., x_m) = x_1*v_1 + ... + x_m*v_m.

Is there another name/ standardized name for this function?

Thanks

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# Hubbard's & Hubbards Concrete To Abstract Function

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