Sentences with ADJOINT
Check out our example sentences below to help you understand the context.Sentences
1
"The adjoint matrix of a square matrix A is denoted as adj(A)."
2
"The concept of the adjoint operator is important in functional analysis."
3
"The adjoint function is used to find the inverse of a matrix."
4
"In linear algebra, the adjoint transformation is used to study eigenvalues."
5
"The adjoint property of a differential operator is essential in solving differential equations."
6
"The adjoint equation can be derived from the original equation by taking complex conjugates."
7
"In mathematics, the adjoint group is an important concept in group theory."
8
"The adjoint representation of a Lie algebra plays a crucial role in theoretical physics."
9
"In quantum mechanics, the adjoint state of a vector is obtained by taking the complex conjugate and transpose."
10
"The adjoint operator in Hilbert spaces is closely related to the notion of self-adjointness."
1
"The adjoint matrix of a square matrix is obtained by taking the transpose of the cofactor matrix."
2
"The adjoint of a linear transformation is related to its inverse."
3
"The adjoint operator plays a crucial role in the theory of self-adjoint operators."
4
"Computing the adjoint of a matrix can be computationally expensive."
5
"The adjoint method is commonly used in numerical optimization."
6
"The concept of the adjoint can be extended to vector spaces."
7
"The adjoint functor is the categorical dual of a given functor."
8
"The adjoint property is often used in mathematical proofs."
9
"The adjoint representation of a Lie algebra is an important concept in group theory."
10
"The adjoint function maps each element to its corresponding conjugate."
11
"The mathematician proved the theorem using the adjoint of the linear operator."
12
"The adjoint equation is a type of differential equation."
13
"In quantum mechanics, the adjoint operator represents a physical observable."
14
"The adjoint of a differential operator is defined as a certain derivative of its Green's function."
15
"The adjoint source term in the heat equation is nonzero."
16
"The concept of the adjoint space is useful in functional analysis."
17
"The adjoint of a complex number is its complex conjugate."
18
"The adjoint variable is often introduced in optimization problems."
19
"The adjoint power method is an iterative algorithm used in linear algebra."
20
"The symmetry of the adjoint eigenvectors can be used to simplify calculations."
1
"The adjoint of a linear operator is unique."
2
"The adjoint of a matrix can be computed by taking the transpose and conjugate of the matrix."
3
"The adjoint of a vector is a row vector."
4
"To find the adjoint of a complex number, we change the sign of its imaginary part."
5
"The adjoint of a differential operator is often studied in functional analysis."
6
"In physics, the adjoint of an operator represents the dual of the original operator."
7
"The adjoint of a group element in abstract algebra can be defined in various ways."
8
"The adjoint of a linear transformation can be calculated using the inner product of vectors."
9
"The adjoint of a functional can be used to define the concept of a weak solution."
10
"The adjoint of a boundary value problem is helpful in analyzing the behavior of solutions near the boundary."
