Sentence examples for matrices a such from inspiring English sources

The notation denotes the class of all matrices A such that A : μ → γ.

By , we denote the class of all matrices A such that A : λ → μ.

By ( X, Y ) we mean the class of matrices A such that A : X → Y.

By using the notation ( X : Y ), we mean the class of all infinite matrices A such that A : X ⟶ Y.

For an involutory matrix R, we define the generalized centro-invertible matrices with respect to R to be those matrices A such that RAR="A−1.

Then the domain of A is denoted by (X_{A}) and defined by X_{A}= bigl{ x=(x_{k}) in w : Ax in X bigr}, (1.2) which is also a sequence space and the class of all matrices A such that (Xsubset Y_{A}) is denoted by ((X Y)).

Two matrices A and B are called similar if there exists a nonsingular matrix A such that (A=TBT^{-1}) [23].

Since U and W have the same dimension, there exists a full-rank m×m matrix A such that mathsf{U}=mathbf{A}mathsf{W}.

The RAM algorithm is provided in Algorithm 2. We use the notation that S=Chol(A) denotes the Cholesky factorization of an Hermitian positive-definite matrix A such that A=S S ⊤, and S is a lower triangular matrix [51].

For each sample, we created an adjacency matrix A such that an element aij is equal to 1 when a flight exists between cities i and j and is equal to 0 otherwise.

We now show that for any x, y ∈ N 1 ( x ∗ ), there exists a matrix A ∈ A such that F ( x ) − F ( y ) = A ( x − y ).