A scalar function of two vectors, equal to the product of their magnitudes and the cosine of the angle between them.
Written as a. b or ab
Also called dot product or scalar product Compare with vector product
Example sentencesExamples
The familiar example of the inner product of two vectors (tensors of rank one) is a special case of this.
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.
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.
Definition of inner product in US 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.
Written as a. b or ab
Also called dot product or scalar product Compare with vector product
Example sentencesExamples
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.
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.
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.