Sentence examples for matrices that map from inspiring English sources

Therefore, we propose global explicit formulas for the entries of those transformation matrices that map these normalized B-bases to the traditional (or ordinary) bases of the underlying vector spaces.

Here, ((X,Y)) denotes the set of all matrices that map X into Y.

We denote the class of all infinite matrices that map X into Y by ((X,Y)).

Moreover, we write ( X, Y ) for the class of all infinite matrices that map X into Y.

For arbitrary subsets X and Y of ω, we write (( X,Y ) ) for the class of all infinite matrices that map X into Y.

For example, in [3, 4], Mursaleen and Noman, Malkowsky and Rakoc̆ević [5], Djolović and Malkowsky [6] and Kara and Başarır [7, 8] established some identities or estimates for the operator norms and the Hausdorff measure of noncompactness of the linear operator given by infinite matrices that map an arbitrary BK-space or the matrix domain of triangles in an arbitrary BK-space.

The set (X_{A}=X ( A ) = { zinomega : A ( z ) in X } ) is called the matrix domain of A in X. Finally (( X,Y ) ) denotes the class of all matrices A that map X into Y, that is for which (A_{n}in X^{beta}) for all n and (A ( x ) in Y) for all (xin X), or equivalently (Ain ( X,Y ) ) if and only if (Xsubset X_{A}).

For any two sequence spaces X and Y, we denote by ((X,Y)) the class of all infinite matrices A that map X into Y.

In this case, the homography matrices that needed to map the KF into the WZ camera are estimated using a MMSE criterion.

It finds a transformation matrix A that maps a set of points (x_{i} in R^{d}) (left( {i = 1, ldots,m} right)) into a set of points (y_{i} in R^{l}), (y_{i} = A^{T} x_{i}), such that (l ll d).

We generalize the Nevanlinna representation theorems and Löwner's theorem on matrix monotone functions to the free Pick class, the collection of functions that map tuples of matrices with positive imaginary part into the matrices with positive imaginary part which obey the free functional calculus.