"Adjoints" Example Sentences
1. The linear transformation has several adjoints.
2. The proof requires the use of adjoints.
3. The adjoints of matrices have many applications in physics.
4. We can use the adjoint of the operator to solve the equation.
5. The adjoint operator is important in quantum mechanics.
6. Adjoint matrices play a crucial role in linear algebra.
7. The adjoint of a linear map preserves the inner product.
8. We studied the properties of adjoints in our math class.
9. The adjoint operator in functional analysis is a complex conjugate.
10. The adjoints of linear operators satisfy certain properties.
11. The adjoint of a differential operator is a differential operator.
12. We can use the adjoint of a matrix to find the inverse.
13. The theory of adjoints is an important topic in mathematical analysis.
14. The adjoint of the Laplace operator is called the biharmonic operator.
15. The adjoints of linear functionals are known as covectors.
16. The adjoint of a linear transformation is unique if it exists.
17. Adjoint matrices have many applications in game theory.
18. The adjoints of linear differential equations are useful in physics and engineering.
19. The adjoint of a Hermitian matrix is also Hermitian.
20. The adjoint of a linear map can be thought of as its transpose.
21. Adjoint operators satisfy certain algebraic properties.
22. The adjoints of self-adjoint operators are also self-adjoint.
23. We can use the adjoint of an operator to define the adjoint group.
24. The adjoints of operators in Hilbert space are closely related to spectral theory.
25. The adjoint of a change of basis matrix is its inverse.
26. The adjoint of a hyperbolic equation is a parabolic equation.
27. We can use the adjoint of a linear transformation to define the adjoint bundle.
28. The adjoint of a matrix product is the product of the adjoints.
29. The adjoints of linear maps in Banach spaces have important applications in functional analysis.
30. The adjoint of a linear map gives us a way to compute inner products.
Common Phases
1. The
adjoints of the matrix were calculated;
2. The
adjoints of the vectors were computed;
3. The
adjoints of the linear operator were determined;
4. The
adjoints of the derivative were found;
5. The
adjoints of the wave function were solved for;
6. The
adjoints of the function were integrated;
7. The
adjoints of the system were optimized;
8. The
adjoints of the algorithm were implemented;
9. The
adjoints of the network were trained;
10. The
adjoints of the model were adjusted.