inner product in English

noun
1
a scalar function of two vectors, equal to the product of their magnitudes and the cosine of the angle between them.
The familiar example of the inner product of two vectors (tensors of rank one) is a special case of this.
noun

Use "inner product" in a sentence

Below are sample sentences containing the word "inner product" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "inner product", or refer to the context using the word "inner product" in the English Dictionary.

1. The integral is absolutely convergent and the Petersson inner product is a positive definite Hermitian form.

2. So, an inner product on a real vector space is a positive-definite symmetric bilinear form.

3. Course Name (Linear Algebra with Applications ) Code 136.235 Description 136.235 Linear Algebra with Applications 6 credit hours Vector spaces, linear transformations, inner product spaces, eigenvalues and eigenvectors, orthogonal and Hermitian matrices, and applications.

4. If V and W are finite dimensional inner product spaces and T: V → W is a linear map, then the Adjoint T∗ is the linear transformation T∗: W → V satisfying for all v ∈ V,w ∈ W, hT(v),wi = hv,T∗(w)i