Whereas the influence on the elevation of visually perceived eye level (VPEL) by two bilaterally symmetric, long (64 degrees-long), pitched-from-vertical lines in total darkness is only a little more than the average of the VPELs of the two lines measured separately [Matin & Li (1999). Vision Research, 39, 307-329], in the present experiments with 49 2-line combinations of seven orientations (-...

The density matrix rho(r,r(')) of a spherically symmetric system can be expanded as a Fourier-Legendre series of Legendre polynomials P(l)(cos theta=rr(')rr(')). Application is here made to harmonically trapped electron pairs (i.e., Moshinsky's and Hooke's atoms), for which exact wavefunctions are known, and to the helium atom, using a near-exact wavefunction. In the present approach, generic c...

An appreciable percent (3-14%) of the lymphocyte-like cells of the mouse spleen lack both the theta-isoantigen and sufficient surface immunoglobulin to be detected by conventional immunofluorescence or autoradiographic procedures. These theta(-),Ig(-) cells are increased in frequency after treatment of mice with antithymocyte serum or in mice that have been thymectomized, irradiated (850 R), an...

Abstract We prove that the hydrodynamic pressure p associated to velocity $$u\in C^\theta (\Omega )$$ u ∈ C θ ( Ω ) , $$\theta \in (0,1)$$ 0 <mml...

A celebrated work of D. Hickerson gives a proof of the Mock Theta Conjectures using Hecke-type identities discovered by G. Andrews. Here, we respond to a remark by K. Bringmann, K. Ono and R. Rhoades and provide a short proof of the Mock Theta Conjectures by realizing each side of the identities as the holomorphic projection of a harmonic weak Maass form.

Let Cg be a smooth projective irreducible curve over C of genus g ≥ 1 and let {p1, p2, . . . , ps} be a set of distinct points on Cg. We fix a nonnegative integer l and denote by Mg(p, λ) the moduli space of parabolic semistable vector bundles of rank r with trivial determinant and fixed parabolic structure of type λ = (λ1, λ2, . . . , λs) at p = (p1, p2, . . . , ps), where each weight λi is in...

In Brownian last-passage percolation (BLPP), the Busemann functions $\mathcal B^{\theta}(\mathbf x,\mathbf y)$ are indexed by two points $\mathbf y \in \mathbb Z \times R$, and a direction parameter $\theta > 0$. We derive joint distribution of across all directions. The set directions where process is discontinuous, denoted $\Theta$, provides detailed information about uniqueness coalescence s...

This article focuses on the theta series on the 6-fold cover of GL2. We investigate the Fourier coefficients τ(r) of the theta series, and give partially proven, partially conjectured values for τ(π)2, τ(π2) and τ(π4) for prime values π.