Definition of inner product in English:

inner product

noun

Mathematics
  • A scalar function of two vectors, equal to the product of their magnitudes and the cosine of the angle between them.

    Compare with vector product
    Also called dot product or scalar product
    • ‘As a criterion for such a partition, we used the sign of the inner product between the vector of left-right differences of each individual and that of the first specimen in the data set.’
    • ‘An inner product of two vectors represents the number of changes along the shared branch vectors.’
    • ‘The familiar example of the inner product of two vectors (tensors of rank one) is a special case of this.’
    • ‘Additionally we calculate the inner product between eigenvectors to compare the motion displayed in different simulations.’
    • ‘It goes without saying that all the usual projection theorems hold for this inner product.’