What does Birkhoff--James orthogonality know about the norm?

On Approximate Birkhoff-James Orthogonality and Approximate $ast$-orthogonality in $C^ast$-algebras

We offer a new definition of $varepsilon$-orthogonality in normed spaces, and we try to explain some properties of which. Also we introduce some types of $varepsilon$-orthogonality in an arbitrary  $C^ast$-algebra $mathcal{A}$, as a Hilbert $C^ast$-module over itself, and investigate some of its properties in such spaces. We state some results relating range-kernel orthogonality in $C^*$-algebras.

What Does the Right Hemisphere Know about Phoneme Categories?

Innate auditory sensitivities and familiarity with the sounds of language give rise to clear influences of phonemic categories on adult perception of speech. With few exceptions, current models endorse highly left-hemisphere-lateralized mechanisms responsible for the influence of phonemic category on speech perception, based primarily on results from functional imaging and brain-lesion studies....

What Does the Retina Know about Natural Scenes?

By examining the experimental data on the statistical properties of natural scenes together with (retinal) contrast sensitivity data, we arrive at a first principles, theoretical hypothesis for the purpose of retinal processing and its relationship to an animal's environment. We argue that the retinal' goal is to transform the visual input as much as possible into a statistically independent ba...

What does the brain know about blood pressure?

What every pediatrician should know about liver transplantation

Liver transplantation is the treatment of choice for children with end-stage liver disease.  Improvement in outcomes (allograft and patient survival) has led to widespread use of pediatric LT worldwide. This success is due to improvement in patient selection, transplant surgery, anesthesia/postoperative care and immunosuppression management. This review will focus on different aspects of LT whi...