We briefly discuss the problem of specifying initial conditions for evolution of off-diagonal (skewed) parton distributions. We present numerical results to show that evolution rapidly washes out differences of input. Off-diagonal (or skewed) parton distributions provide important information about the nonper-turbartive structure of the nucleon [ 1]. They can in principle be measured in such pr...

We propose a sufficient condition for invertibility of a polynomial mapping function defined on a cube or simplex. This condition is applicable to finite element analysis using curved meshes. The sufficient condition is based on an analysis of the Bernstein-Bézier form of the columns of the derivative. 1 Invertibility of polynomial mapping functions In finite element analysis, it is common to s...

S U M M A R Y The principal axis angle ξ 0, or Kagan angle, is a measure of the difference between the orientations of two seismic moment tensors. It is the smallest angle needed to rotate the principal axes of one moment tensor to the corresponding principal axes of the other. This paper is a conceptual review of the main features of ξ 0. We give a concise formula for calculating ξ 0, but our ...

Inspired by the seminal work on Stein Variational Inference [2] and Stein Variational Policy Gradient [3], we derived a method to generate samples from the posterior variational parameter distribution by explicitly minimizing the KL divergence to match the target distribution in an amortize fashion. Consequently, we applied this varational inference technique into vanilla policy gradient, TRPO ...

Sparse Distributed Memory (or Kanerva Networks) is a technique first introduced as a model of memory in neuroscience, [2] (see also §13 of [1] for a quick summary). In a large Boolean space F2 one chooses a uniform random sample of hard locations. The number 2k of hard locations is small compared to the size 2N of the ambient space. At each of these hard locations a datum (a Boolean string of l...

Motivated by the experimental progress in study of heavy baryons, we investigate mass spectra strange single baryons $\lambda$-mode, where relativistic quark model and infinitesimally shifted Gaussian basis function method are employed. It is shown that data can be well reproduced predicted masses. The root mean square radii radial probability density distributions wave functions analyzed detai...

A current of the deformed Virasoro algebra is identified with the ZamolodchikovFaddeev operator for the basic scalar particle in the XYZ model. September, 95 † On leave of absence from L.D. Landau Institute for Theoretical Physics, Kosygina 2, Moscow, Russia ∗ e-mail address: [email protected] The studies of infinite dimensional algebras has turned out to be the main tendency in the rece...

In this paper, we introduce and investigate the notions of ξ-strongly copure projective objects in a triangulated category. This extends Asadollahi’s notion of ξ-Gorenstein projective objects. Then we study the ξ-strongly copure projective dimension and investigate the existence of ξ-strongly copure projective precover.

Let μ be a measure with compact support, with orthonormal polynomials {pn}, and associated reproducing kernels {Kn}. We show that bulk universality holds in measure in {ξ : μ (ξ) > 0}. More precisely, given ε, r > 0, the linear Lebesgue measure of the set of ξ with μ (ξ) > 0 and for which

The eccentric connectivity index ξ is a distance–based molecular structure descriptor that was recently used for mathematical modeling of biological activities of diverse nature. We prove that the broom has maximum ξ among trees with a fixed maximum vertex degree, and characterize such trees with minimum ξ . In addition, we propose a simple linear algorithm for calculating ξ of trees.