We thank the authors of Ref. [1] for their comments and interest in our work [2–6]. We agree that the emission of shear loops on one single shear plane cannot lead to void growth. However, our simulations suggest that coordinated shear on non-parallel planes can lead to void growth/shrinkage [3–5]. Detailed descriptions of this process are still being worked out and represent an exciting area f...

Voids form a prominent aspect of the Megaparsec distribution of galaxies and matter. Not only do they represent a key constituent of the Cosmic Web, they also are one of the cleanest probes and measures of global cosmological parameters. The shape and evolution of voids are highly sensitive to the nature of dark energy, while their substructure and galaxy population provides a direct key to the...

Internal friction and void ratio will change among granular particles under vibration, and the size of void ratio directly affects strength of granular media. To further study the effect of vibration parameters on granular mechanical properties, discrete element method is used to simulate particles motion in a vibrating rectangular case by PFC2D software and study the influence of vibration fre...

class Drawable { abstract void draw(); } abstract class Shape extends Drawable {} class Circle extends Shape { void draw() { printf("Circle"); } } class Triangle extends Shape { void draw() { printf("Triangle"); } } class Rectangle extends Shape { void draw() { printf("Rectangle"); } } class Square extends Rectangle {} and it is associated with an instantiated class (i.e., it is the method that...

Corresponding to the recent observational claims that we are in a local void (an underdense region) on scales of 200 − 300 Mpc, the magnitude-redshift relation in a cosmological model with a local void is investigated. It is already evident that the accelerating behavior of high-z supernovae can be explained in this model, because the local void plays a role similar to the positive cosmological...

We present a comparison between the voids in two nearly all sky redshift surveys: the ORS and the IRAS 1.2-Jy. While the galaxies in these surveys are selected differently and their populations are known to be biased relative to each other, the two void distributions are similar. We compare the spatial distribution of the two void populations and demonstrate the correlation between them. The vo...

We study the spectroscopic properties of a sample of 10 void galaxies identified in the Sloan Digital Sky Survey (SDSS) and compare these with the properties of galaxies in higher density regions (wall galaxies). This sample of void galaxies covers the range of absolute magnitude from Mr 1⁄4 13:5 to Mr 1⁄4 22:5 in regions with density contrast / < 0:6. We compare the equivalent widths of H , [O...