Spherically symmetric inhomogeneous dust collapse has been studied in higher dimensional spacetime and appearance of naked singularity has been analyzed both for non-marginal and marginally bound cases. It has been shown that naked singularity is possible for any arbitrary dimension in non-marginally bound case. For marginally bound case we have examined the radial null geodesics from the singu...

We show that in a large class of two dimensional models with conformal matter fields, the semiclassical cosmological solutions have a weak coupling singularity if the classical matter content is below a certain threshold. This threshold and the approach to the singularity are model-independent. When the matter fields are not conformally invariant, the singularity persists if the quantum state i...

We study certain Schur functors which preserve singularity categories of rings and we apply them to study the singularity category of triangular matrix rings. In particular, combining these results with Buchweitz–Happel’s theorem, we can describe singularity categories of certain non-Gorenstein rings via the stable category of maximal Cohen–Macaulay modules. Three concrete examples of finitedim...

A singularity-robust trajectory generator is presented that, given a prescribed manipulator path and corresponding kinematic solution, computes a feasible trajectory in the presence of kinematic singularities. The resulting trajectory is close to minimum time, subject to individual bounds on joint velocities and accelerations, and follows the path with precision. The algorithm has complexity O(...

In recent years, there is an exhaustive study of gravitational collapse of inhomogeneous spherical dust [1-4]. It is mainly concentrated to central shell focusing singularity. The behaviour of the singularity (black hole or naked singularity) has been analyzed mainly by the studying of outgoing radial null geodesic and the strength is measured using due to Tipler [5]. It has been shown that app...

Singularity is a new operating system produced by Microsoft Research. The design of Singularity is a marked departure from current commodity operating systems such as Windows or Linux. This paper presents and implementation of the Linux ext2 file system for use on Singularity. This project allows the design of Singularity to be evaluated. The development and testing described in this paper show...

In a paper titled "A topologically related singularity suggests a maximum preferred size for protein domains" (Zbilut et al., Proteins 2007;66:621-629), Zbilut et al. claim to have found a singularity in certain geometrical properties of protein structures, and suggest that this singularity may limit the maximum size of protein domains. They find further support for the singularity in their ana...

The possibility of having discrete degrees of freedom at singularities associated to ‘conifolds with discrete torsion’ is studied. We find that the field theory of D-brane probes near these singularities is identical to ordinary conifolds, so that there are no additional discrete degrees of freedom located at the singularity. We shed light on how the obstructions to resolving the singularity ar...