scalar product

Noun

Meaning

a real number (a scalar) that is the product of two vectors

Synonyms

Hypernyms

Examples

A random element h ∈ H is said to be normal if for any constant a ∈ H the scalar product (a, h) has a (univariate) normal distribution. Source: Internet

For v, w in R 4 introduce the degenerate bilinear form : This degenerate scalar product projects distance measurements in R 4 onto the R 3 hyperplane. Source: Internet

Grassmann's 1840 work Theorie der Ebbe und Flut (Theory of the Ebb and Flow) was the first system of spatial analysis similar to today's system and had ideas corresponding to the cross product, scalar product and vector differentiation. Source: Internet

;Inner product: In GA this generally refers to a scalar product on the vector subspace (which is not required to be positive definite) and may include any chosen extension of this product to the entire algebra. Source: Internet

This parallels the extension of the scalar product of vector spaces to the direct sum above. Source: Internet

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