In this paper, we obtain some results of a more rigorous mathematical structure that can guarantee the orthogonality of an orthogonal set even when results and formula on abstract Wiener integrals or ...

The matrix M is based on the Pseudo-Hadamard Transform (PHT) in the original SAFER family of ciphers. The matrix M can be realized as a series of 2-PHT butterflies and Armenian Shuffles ( a kind of ...

This is a preview. Log in through your library . Abstract The (unknown) exact solution of a weakly singular Volterra integral equation of the second kind (with smooth kernel and forcing function) ...

Transforming light: illustration of how an arbitrary linear transform can be achieved in an all-optical system using diffractive surfaces (Courtesy: Ozcan Lab/UCLA) Researchers in the US have shown ...

Vector spaces, linear transformation, matrix representation, inner product spaces, isometries, least squares, generalised inverse, eigen theory, quadratic forms, norms, numerical methods. The fourth ...

If \(A\) is a \(3\times 3\) matrix then we can apply a linear transformation to each rgb vector via matrix multiplication, where \([r,g,b]\) are the original values ...