inner product (Meaning)

Wordnet

inner product (n)

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

Synonyms & Antonyms of inner product

No Synonyms and anytonyms found

inner product Sentence Examples

  1. The inner product of two vectors provides a measure of their similarity.
  2. In Euclidean space, the inner product is equivalent to the dot product.
  3. The inner product is used to define orthogonality and linear independence.
  4. The Gram-Schmidt process can be used to find an orthonormal basis with respect to the inner product.
  5. The inner product is used in many applications, such as machine learning and signal processing.
  6. The inner product of a vector with itself gives its norm.
  7. The inner product can be generalized to matrices and other linear operators.
  8. The inner product of two functions can be used to measure their distance in function space.
  9. The Cauchy-Schwarz inequality gives a bound on the inner product of two vectors.
  10. The inner product is a fundamental concept in linear algebra and analysis.

FAQs About the word inner product

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

No synonyms found.

No antonyms found.

The inner product of two vectors provides a measure of their similarity.

In Euclidean space, the inner product is equivalent to the dot product.

The inner product is used to define orthogonality and linear independence.

The Gram-Schmidt process can be used to find an orthonormal basis with respect to the inner product.