Sentence examples for be the adjoint eigenvector from inspiring English sources

Let (p in mathbb {R}^{2}) be the adjoint eigenvector, that is, (A^{T}(delta_{F} p=-p).

Let (pinmathbb{R}^{2}) be the adjoint eigenvector, that is, (A^{T}p=-p), where (A^{T}) is the transposed matrix.

Let (winmathbb{R}^{3}) be the eigenvector of H with respect to eigenvalue −1, that is, (Hw=-w); let (vinmathbb{R}^{3}) be the adjoint eigenvector of (H^{T}), that is, (H^{T}v=-v), where (H^{T}) is the transposed matrix, and (langle v,wrangle=1), where (langlecdot,cdotrangle) is the standard scalar product in (mathbb{R}^{3}).

Let w ∈ R 3 be the eigenvector of H with respect to eigenvalue −1, that is, H w = − w ; v ∈ R 3 be the adjoint eigenvector of H T that is, H T v = − v where H T is the transposed matrix, and 〈 v, w 〉 = 1, where 〈 ⋅, ⋅ 〉 is the standard scalar product in R 3.

Let A be the adjoint of A in L 2.

Further, let Π be an adjoint set of (mathbb{T}) and F be the adjoint mapping between (mathbb{T}) and Π.

We note, though, that unless the operator (q_) is the adjoint equation times ((-1)^{n}), the boundary conditions may not be the adjoint ones.

Further, let Π be the adjoint set of (mathbb{T}) and F be the adjoint mapping between (mathbb{T}) and Π.

Further, let Π be the adjoint set of (mathbb{T}) and F the adjoint mapping between (mathbb{T}) and Π.

Let p be the associated adjoint eigenvector, i.e. p ∈ ≤ n and A T p = -iωp, 〈p, q〉 = 1.

Here is the adjoint matrix.