Let [ Mn(C) ] denote the set of linear maps from the n × n complex matrices into themselves and let $\hat\Omega_n$ denote the set of complex doubly stochastic matrices, i.e. complex matrices whose row ...

This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American I was enchanted with the words metonymy and ...

The traditional linear transformation model assumes a linear relationship between the transformed response and the covariates. However, in real data, this linear relationship may be violated. We ...

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 ...

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 ...