Sentence examples for transformation applying from inspiring English sources

Equivalently, such a convolution can be described by a linear transformation applying an upper right Toeplitz matrix A∈IR M×(M+P) to an input vector x k ∈IR(M+P)×1.

As determinant is invariant under unitary transformation, applying a procedure similar to that in [9], we can rewrite (3) as function of the eigenvalues λ j, j=1,…,n of the n×n complex matrix W as mathcal{I}_{A}=log_{2} detleft(mathbf{I}_{n}+mathbf{W}right)=sum_{j=1}^{n}log_{2}(1+lambda_{j}), (6).

Right: Corrected version of the picture with transformation applied.

We now want to do it with the bilinear transformation applied to an appropriate Butterworth design.

Middle: Correcting transformation applied with maximal correction for shape distortion everywhere.

Right: Correcting transformation applied, maximal correction of distortion of shape on the left, decreasing to the right across the image.

This requires various kinds of transformation applied to the original problem specification as well as to intermediate solutions.

The first transformation applied by Stirmark is defined by (1).

The transformation applied to each block uses the same wavelet utilized in the embedding scheme.

As in the first-order case, our coordinate transformation applies also to a slightly different situation.

Notice that a similar coordinate transformation applies also to a slightly different situation.