Whistled languages represent an experiment of nature to test the widely accepted view that language comprehension is to some extent governed by the left hemisphere in a rather input-invariant manner. Indeed, left-hemisphere superiority has been reported for atonal and tonal languages, click consonants, writing and sign languages. The right hemisphere is specialized to encode acoustic properties...

Negative specific heat is a dramatic phenomenon where processes decrease in temperature when adding energy. It has been observed in gravo-thermal collapse of globular clusters. We now report finding this phenomenon in bundles of nearly parallel, periodic, single-sign generalized vortex filaments in the electron magnetohydrodynamic model for the unbounded plane under strong magnetic confinement....

This paper considers discrete and differential nonlinear repetitive processes using the state-space model setting. These processes are a particular class of 2D systems that have their origins in the modeling of physical processes. Their distinguishing characteristic is that one of the two independent variables needed to describe the dynamics evolves over a finite interval and therefore they are...

In this note we show that the complete symmetric polynomials are dual generators of compressed artinian Gorenstein algebras satisfying Strong Lefschetz Property. This is first example an explicit form with these properties. For forms any degree in number variables, provide upper bound for Waring rank by establishing power sum decomposition. Moreover, determine rank, cactus resolution and Proper...

We investigate the Oja sign covariance matrix (Oja SCM) for estimating partial correlations in multivariate data. The Oja SCM estimates directly a multiple of the precision matrix and is based on the concept of Oja signs, which generalise the univariate sign function and obey some form of affine equivariance property. We compare it to the classical MLE as well as to estimates based on two alter...

The many variants of the restricted isometry property (RIP) have proven to be crucial theoretical tools in the fields of compressed sensing and matrix completion. The study of extending compressed sensing to accommodate phaseless measurements naturally motivates a strong notion of restricted isometry property (SRIP), which we develop in this paper. We show that if A ∈ Rm×n satisfies SRIP and ph...