Excessive Memory Usage of the ELLPACK Sparse Matrix Storage Scheme throughout the Finite Element Computations

Sparse matrices are occasionally encountered during solution of various problems by means of numerical methods, particularly the finite element method. ELLPACK sparse matrix storage scheme, one of the most widely used methods due to its implementation ease, is investigated in this study. The scheme uses excessive memory due to its definition. For the conventional finite element method, where the node elements are used, the excessive memory caused by redundant entries in the ELLPACK sparse matrix storage scheme becomes negligible for large scale problems. On the other hand, our analyses show that the redundancy is still considerable for the occasions where facet or edge elements have to be used

A Search for pair production of the LSP ντ~\tilde{\nu_{\tau}} at the CLIC via RPV Decays

In this work we consider pair production of LSP tau-sneutrinos at the Compact Lineer Collider. We assume that tau-sneutrinos decays in to e\textmu pair via RPV interactions. Backgroundless subprocess $e{}^{-}e^{+}\rightarrow\tilde{\nu}\bar{\tilde{\nu}}\rightarrow\mu^{+}\mu^{+}e^{-}e^{-}(\mu^{-}\mu^{-}e^{+}e^{+})$ is analyzed in details. Achievable limits on $Br\,(\tilde{\nu}_{\tau}\rightarrow\mu e)$ at $3\sigma$ and $5\sigma$ CL are obtained depending on $\tilde{\nu_{\tau}}$ mass.Comment: 8 pages, 5 figure

Bigger Bursts From Merging Neutron Stars

GRB 990123 may have radiated more than one solar mass equivalent in just its gamma emissions. Though this may be within the upper limit of the binding energy available from neutron stars in the Schwarzschild metric, it is difficult to imagine a process with the required efficiency of conversion to gamma rays. Neutron stars of ~10 solar mass are permitted in the Yilmaz metric. A merger of two neutron stars of maximum mass could release approximately 10 solar mass equivalent binding energy.Comment: 5 pages, 1 figure, submitted to ApJ Letter

Electron muon identification by atmospheric shower and electron beam in a new concept of an EAS detector

We present results demonstrating the time resolution and $\mu$/e separation capabilities with a new concept of an EAS detector capable for measurements of cosmic rays arriving with large zenith angles. This kind of detector has been designed to be a part of a large area (several square kilometers) surface array designed to measure Ultra High Energy (10-200 PeV) $\tau$ neutrinos using the Earth-skimming technique. A criteria to identify electron-gammas is also shown and the particle identification capability is tested by measurements in coincidence with the KASKADE-GRANDE experiment in Karlsruhe, Germany.Comment: accepted by Astrophysical Journal on January 12 2015, 16 pages 3 Figure

Equality of averaged and quenched large deviations for random walks in random environments in dimensions four and higher

We consider large deviations for nearest-neighbor random walk in a uniformly elliptic i.i.d. environment. It is easy to see that the quenched and the averaged rate functions are not identically equal. When the dimension is at least four and Sznitman's transience condition (T) is satisfied, we prove that these rate functions are finite and equal on a closed set whose interior contains every nonzero velocity at which the rate functions vanish.Comment: 17 pages. Minor revision. In particular, note the change in the title of the paper. To appear in Probability Theory and Related Fields

What can anthropometric measurements tell us about obstructive sleep apnoea?

Background: Clinical detection of anatomic narrowing of the upper airway may facilitate early recognition of obstructive sleep apnoea (OSA). The aim of this study was to investigate whether anthropometric measurement can be used to predict OSA. Materials and methods: One hundred forty-seven subject were included from those patients who were referred to our sleep laboratory with suspected sleep apnoea. All patients were divided two groups with respect to the apnoea-hypopnoea index (AHI). The first group was diagnosed as OSA, AHI greater than 5. The second group was not diagnosed with OSA, AHI less than 5 (non-OSA control). Anthropometric measurements such as lower face height (LFH), interincisial distance, nose height, anterior neck height (ANH), lateral neck height, posterior neck height (PNH), ramus mandible height, corpus mandible height (CML), bigonial distance (BGD), neck width, and neck depth were assessed. Results: Patients with OSA had higher body mass index (BMI) and larger LFH, ANH, thyromental distance, CML, BGD, and neck circumference than those without OSA (p < 0.0001, p < 0.0001, p < 0.0001, p < 0.0001, p < 0.0001, p = 0.023, p < 0.0001, respectively). There was no difference between the two groups in terms of other parameters. Conclusions: In this study, it was determined that BMI, lower face height, neck height, mandible length, bigonial width, thyromental distance and neck circumference are in significant relationship with sleep disordered breathing. Thus, these measurements may be used in clinical practice for prediction of OSA