adjoint Synonyms
No Synonyms and anytonyms found
adjoint Meaning
Webster
adjoint (n.)
An adjunct; a helper.
adjoint Sentence Examples
- 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.
- As a linear algebra term, the adjoint of a linear transformation is characterized by its unique properties in relation to inner products.
- The adjoint method in optimization helps find gradients efficiently by leveraging the chain rule.
- In quantum mechanics, the adjoint of an operator corresponds to the adjoint representation of a Lie algebra.
- The adjoint equation in differential equations arises when considering the variational approach to solving boundary value problems.
- Engineers often use the adjoint solution to analyze the sensitivity of a given system with respect to changes in its parameters.
- 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.
