The pa tte rn of innervation in the frog’s heart shown by silver staining has been compared w ith the results of histochemical methods. The muscle innervation is a series of dense n e t­ works of nerve bundles. These have been divided into four groups according to their size and distribution. The silver m ethods show fewer fibres than the histochemical methods bu t all the methods show the same...

We study correlation bounds and pseudorandom generators for depth-two circuits that consist of a SYM-gate (computing an arbitrary symmetric function) or THR-gate (computing an arbitrary linear threshold function) that is fed by S AND gates. Such circuits were considered in early influential work on unconditional derandomization of Luby, Veličković, and Wigderson [LVW93], who gave the first non-...

It was recently shown by Witten that B-type open topological string theory with the supertwistor space CP 3|4 as a target space is equivalent to holomorphic Chern-Simons (hCS) theory on the same space. This hCS theory in turn is equivalent to self-dual N=4 super Yang-Mills (SYM) theory in four dimensions. We review the supertwistor description of self-dual and anti-self-dual N -extended SYM the...

I present a criterion for all-order finiteness in N =1 SYM theories. Three applications are given; they yield all-order finite N=1 SYM models with global symmetries of the superpotential. 1. INTRODUCTION The aim of this paper is to present applications of the criterion for all-order finiteness in N = 1 SYM of [ 1]. All-order finiteness is here meant in the sense of exact vanishing of the pertur...

We study the thermodynamics of U(N) N = 4 Super Yang-Mills (SYM) on R × S3 with non-zero chemical potentials for the SU(4) R-symmetry. We find that when we are near a point with zero temperature and critical chemical potential, N = 4 SYM on R × S3 reduces to a quantum mechanical theory. We identify three such critical regions giving rise to three different quantum mechanical theories. Two of th...

Although certain roles of the sympathetic nervous system have been suggested as possible mechanisms of life-threatening arrhythmias and sudden cardiac death, the dynamic electrophysiological response to sympathetic activation remains unclear. The aim of this study was to investigate the dynamic response of action potential duration (APD) to sudden sympathetic stimulation (SYM) using monophasic ...

Let us begin with some motivation and consider a continuous irreducible representation ρ with trivial determinant of the absolute Galois group GF (of a number field F ) into GL(2,C) which is icosahedral, i.e., whose image in PGL(2,C) is the alternating group A5. Then it is well known that ρ is rational over K = Q[ √ 5], but not equivalent to its Galois conjugate ρ under the non-trivial automorp...

Abstract The moduli stack $\mathcal{A}_2$ of principally polarized abelian surfaces comes equipped with the universal surface $\pi: \mathcal{X}_2 \to \mathcal{A}_2$. fiber π over a point corresponding to an A in is itself. We determine $\ell$-adic cohomology $\mathcal{X}_2$ as Galois representation. Similarly, we consider bundles $\mathcal{X}_2^n \mathcal{A}_2$ and $\mathcal{X}_2^{\textrm{Sym}(...