adjoint Synonyms

No Synonyms and anytonyms found

adjoint Meaning

Webster

adjoint (n.)

An adjunct; a helper.

adjoint Sentence Examples

  1. The professor explained the concept of the adjoint matrix as a mathematical operation that involves the transpose and conjugate of a given matrix.
  2. In physics, the adjoint operator plays a crucial role in representing the Hermitian conjugate of an observable.
  3. The adjoint function in programming allows developers to define custom behavior for the complex conjugate of a complex number.
  4. The adjoint theorem in functional analysis establishes a relationship between the adjoint of an operator and its dual space.
  5. As a linear algebra term, the adjoint of a linear transformation is characterized by its unique properties in relation to inner products.
  6. The adjoint method in optimization helps find gradients efficiently by leveraging the chain rule.
  7. In quantum mechanics, the adjoint of an operator corresponds to the adjoint representation of a Lie algebra.
  8. The adjoint equation in differential equations arises when considering the variational approach to solving boundary value problems.
  9. Engineers often use the adjoint solution to analyze the sensitivity of a given system with respect to changes in its parameters.
  10. The adjoint network architecture in machine learning is designed to optimize training efficiency by considering the gradients with respect to the loss function.

FAQs About the word adjoint

An adjunct; a helper.

No synonyms found.

No antonyms found.

The professor explained the concept of the adjoint matrix as a mathematical operation that involves the transpose and conjugate of a given matrix.

In physics, the adjoint operator plays a crucial role in representing the Hermitian conjugate of an observable.

The adjoint function in programming allows developers to define custom behavior for the complex conjugate of a complex number.

The adjoint theorem in functional analysis establishes a relationship between the adjoint of an operator and its dual space.