K 〈x, y〉 dy = ‖x‖ By ‖·‖ we denote the standard Euclidean norm. The notion of isotropic position was extensively studied by V. Milman and A. Pajor [M-P]. Note that our definition is consistent with [K-L-S]. The normalization in [M-P] is slightly different. If the information about the body K is uncomplete it is impossible to bring it exactly to the isotropic position. So, the definition of the ...

Crepuscular and solar rays are visible by means of the contrast between sunlit and (usually) cloud-shaded portions of the atmosphere. Their visibility depends on (1) the volume angular-scattering coefficient (), (2) the brightness of the sunlit sky, and (3) the integrated optical path through the shadowed regions of the atmosphere. We show that the geometry of path length through the umbra (3) ...

Objective: In this paper, finite element model of the L4 vertebra subjected to combination of compression and flexion loading in isotropic and anisotropic cases is investigated. Methods: In both cases, the vertebra is considered homogeneous. Also, the body of vertebra is divided to cancellous and cortical sections in anisotropic model, but the process is assumed isotropic such as isotropic mode...

Abstract We investigate how to derive an isotropic stellar model in the frame of mimetic gravitational theory. Recently, this theory has gained big interest due its difference from Einstein’s general relativity (GR), especially domain non-vacuum solutions. In regard, we apply field equation a spherically symmetric ansatz and obtain over determined system non-linear differential equations which ...

The efficacy of two different flat-field calibration methods for JWST are considered. Flat fields obtained by the co-addition of sky flats and those obtained via self-calibration are quantitatively compared. Both methods can produce flat fields with an accuracy of a few parts in 105 that satisfy the JWST science requirements, as long as the instrumental response and background properties remain...

The diffuse, unresolved sky provides most of the photons that Hubble Space Telescope (HST) receives, yet remains poorly understood. HST Archival Legacy program SKYSURF aims to measure 0.2-1.6 $\mu$m surface brightness (sky-SB) from over 140,000 images. We describe a sky-SB measurement algorithm designed for is able recover input simulated images within 1% uncertainty. present our measurements e...

The large errors in the locations of gamma-ray bursts observed by the Bursts and Transient Source Experiment (BATSE) forces one to adopt statistical comparisons of the burst catalog to models of burst isotropy to determine if bursts are repeating or clustered. In the rst BATSE catalog 1 , a nearest neighbor analysis nds a deviation from isotropy. 2 In a recent article 3 It was shown that known ...

in a profoundly impressive verse in shahnameh, sky is likened to red ruby. the present paper is attempted to probe into the background of the conventional belief regarding the relationship between sky and stone, for the semantic structure of the verse is composed in such a way that it is not possible to consider this relationship as being a conceptualistic viewpoint so that one may establish so...