We consider and compare super Plücker Ptolemy relations from the perspective of constructing cluster algebras. develop structure Grassmannians Gr2|0(n|1) for arbitrary n, which was indicated earlier in our joint work with Th. Voronov. also analyze “weighted projective” case obtain a new simple form Grr|1(n|1). To this end, we establish properties Berezinians certain type matrices (which call “w...

The cosmic neutrino background (CNB) is a definite prediction of the standard cosmological model and its direct discovery would represent milestone in cosmology physics. In this work, we consider capture relic neutrinos on tritium target as possible way to detect CNB, aimed for by PTOLEMY project. Crucial parameters measurement are absolute mass ${m}_{\ensuremath{\nu}}$ local number density ${n...

This publication unveils a set of fifteen fragmented sandstone blocks currently located in the courtyard IXth Pylon temple Amun Karnak. The study these inscriptions allows to identify some elements offering scenes decorating number registers monumental doorway dating from reign Ptolemy III Evergetes. exact location inside Karnak complex building which this door belonged remains still uncertain

Ptolemy’s Theorem in Euclidean geometry, named after the Greek astronomer and mathematician Ptolemy, is well-known. By means of relativistic model hyperbolic we translate from geometry into Lobachevsky Bolyai. The based on Einstein addition relativistically admissible velocities and, as such, it coincides with well-known Beltrami–Klein ball geometry. translation achieved by trigonometry, called...

A portion of this research was undertaken as part of the Ptolemy project, which is supported by the Advanced Research Projects Agency and the U. S. Air Force (under the RASSP program, contract F33615-93-C-1317), Semiconductor Research Corporation (project 94-DC-008), National Science Foundation (MIP-9201605), Office of Naval Technology (via Naval Research Laboratories), the State of California ...

Target applications we consider in this project are model-based computer controlled systems, for which the required system response is deterministic both in value and time. Specification of real-time software components for multiple resources and multi-domain timed simulation is discussed. We describe a simulation framework in the Ptolemy modeling environment that takes into account timing requ...

We investigate the structure of the subsurface of the Abydos site using a cometary nucleus model with parameters adapted to comet 67P/ChuryumovGerasimenko and the Abydos landing site. We aim to compare the production rates derived from our model with those of the main molecules measured by Ptolemy. This will allow us to retrieve the depths at which the different molecules still exist in solid f...

According to the testimony of Ptolemy, which we know through Arrian, it has been assumed that Alexander the Great suffered a pneumothorax during his campaign against the Malli. In general, this assumption has been interpreted as a historical fact in medical literature. We consulted the same sources and concluded that it is unlikely that Alexander's arrow wound had given him a pneumothorax. In a...