We examine the effects of SU(3) breaking in the matrix elements of the flavour-diagonal axial currents between octet baryon states. Our calculations of K, η and π loops indicate that the SU(3) breaking may be substantial for some matrix elements and at the very least indicate large uncertainties. In particular, the strange axial matrix element in the proton determined from the measurements of g...

The adaptation of Crouzeix Raviart finite element in the context of multiscale finite element method (MsFEM) is studied and implemented on diffusion and advection-diffusion problems in perforated media. It is known that the approximation of boundary condition on coarse element edges when computing the multiscale basis functions critically influences the eventual accuracy of any MsFEM approaches...

Let o(G) be the average of element orders a finite group G. A research topic concerning this quantity is understanding relation between and o(H), where H subgroup N class nilpotent groups let L(G) lattice In paper, we show that set {o(G)o(H) | G∈N,H∈L(G)} dense in [0,∞). Other density results are outlined throughout paper.

This short communication discusses an algorithm suited for the generation of periodic microstructures of granular media. Its particular features are a user-defined grain size distribution, a representative volume element which is intrinsically periodic ab initio and a user-defined termination criterion, controlled by an increase of volume fraction. For low densities our particle packings resemb...

 In Proposition 2.6 in (G‎. ‎Gruenhage‎, ‎A‎. ‎Lutzer‎, ‎Baire and Volterra spaces‎, ‎textit{Proc‎. ‎Amer‎. ‎Math‎. ‎Soc.} {128} (2000)‎, ‎no‎. ‎10‎, ‎3115--3124) a condition that‎ ‎every point of $D$ is $G_delta$ in $X$ was overlooked‎. ‎So we‎ ‎proved some conditions by which a Baire space is equivalent to a‎ ‎Volterra space‎. ‎In this note we show that if $X$ is a‎ ‎monotonically normal $T_1...

The mouse oocyte is the site of nucleolar synthesis during pachytene. The chromosomes containing a nucleolar organizer are attached to the nuclear envelope by their paracentromeric heterochromatin, either alone or by taking part in the formation of a chromocentre. The nucleolus appears at the junction of the paracentromeric heterochromatin with the euchromatic portion of the bivalent. In this z...

We develop a model-free technique to identify weak sources within dense sensor arrays using graph clustering. No knowledge about the propagation medium is needed except that signal strengths decay to insignificant levels within a scale that is shorter than the aperture. We then reinterpret the spatial coherence matrix of a wave field as a matrix whose support is a connectivity matrix of a graph...