Touch Neurons Have a Good Sense of Direction Richard Robinson Freelance Science Writer, Sherborn, Massachusetts, United States of America Citation: Robinson R (2010) Touch Neurons Have a Good Sense of Direction. PLoS Biol 8(2): e1000304. doi:10.1371/journal.pbio.1000304 Published: February 2, 2010 Copyright: © 2010 Richard Robinson. This is an open-access article distributed under the terms o...

Certain nonlinear binary codes contain more codewords than any comparable linear code presently known. These include the Kerdock and Preparata codes, which exist for all lengths 4m ≥ 16. At length 16 they coincide to give the Nordstrom-Robinson code. This paper constructs a nonlinear (64, 237, 12) code as the binary image, under the Gray map, of an extended cyclic code defined over the integers...

We prove that the best constant in the general Brascamp–Lieb inequality is a locally bounded function of the underlying linear transformations. As applications we deduce certain very general Fourier restriction, Kakeya-type, and nonlinear variants of the Brascamp–Lieb inequality which have arisen recently in harmonic analysis.

where V+ = (|V |+ V )/2 is the positive part of V . Eden and Foias have obtained in [3] a version of a one-dimensional generalised Sobolev inequality which gives best known estimates for the constants in the inequality (2) for 1 ≤ γ < 3/2. The aim of this short article is to extend the method from [3] to a class of matrix-valued potentials. By using ideas from [6] this automatically improves on...

We show that the lower and upper Frechét-Hoeffding copulas, which are singular, can be regularized to absolutely continuous copulas. The method, which is constructive and explicit, states sufficient conditions for when an absolutely continuous copula can be achieved by averaging. A higher degree of regularisation cannot be achieved with the proposed method.

In this paper we develop a Robinson Schensted algorithm for the hyperoctahedral group of type Bn on partitions of ( 1 2 r(r + 1) + 2n) whose 2−core is δr, r ≥ 0 where δr is the partition with parts (r, r−1, . . . , 0). We derive some combinatorial properties associated with this correspondence.

In 2001, Shimozono and White gave a description of the domino Schensted algorithm of Barbasch, Vogan, Garfinkle and van Leeuwen with the “color-to-spin” property, that is, the property that the total color of the permutation equals the sum of the spins of the domino tableaux. In this paper, we describe the poset of domino Fibonacci shapes, an isomorphic equivalent to Stanley’s Fibonacci lattice...

We give a short and unified proof of Hardy-Lieb-Thirring inequalities for moments of eigenvalues of fractional Schrödinger operators. The proof covers the optimal parameter range. It is based on a recent inequality by Solovej, Sørensen, and Spitzer. Moreover, we prove that any non-magnetic Lieb-Thirring inequality implies a magnetic Lieb-Thirring inequality (with possibly a larger constant).

Serotonin's Role in the Pancreas Revealed at Last Richard Robinson Freelance Science Writer, Sherborn, Massachusetts, United States of America Citation: Robinson R (2009) Serotonin's Role in the Pancreas Revealed at Last. PLoS Biol 7(10): e1000227. doi:10.1371/journal.pbio.1000227 Published: October 27, 2009 Copyright: © 2009 Richard Robinson. This is an open-access article distributed under ...