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8954. Fyzikální výzkum zemětřesení

Creator:
Zahradník, Jiří, Burjánek, Jan, and Gallovič, František
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
geofyzika, seizmologie, zemětřesení, geophysics, seismology, earthquake, 6, and 53
Language:
Czech
Description:
Velká přírodní katastrofa z 26. 12. 2004 v jihovýchodní Asii si vyžádala 300 tisíc obětí na životech. Při zemětřesení magnituda 9, které silnými pohyby půdy zdevastovalo severní část Sumatry, vzniklo tsunami, které pak během několika následujících hodin zkázu dovršilo na pobřeží několika států v Bengálském zálivu i jinde. Má-li se lidstvo chránit před účinkem podobných katastrof, musí znát jejich tektonické příčiny, fyzikální mechanismus i společenské důsledky. Významným způsobem k tomuto širokému okruhu otázek přispívá seismologie., Jiří Zahradník, Jan Burjánek, František Gallovič., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public

8956. Fyziklání online 2015

Creator:
Nagy, Ladislav and Kolář, Karel
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
fyzikální soutěže, středoškolští studenti, physics competitions, secondary school students, 6, and 53
Language:
Czech
Description:
Fyziklání online je týmová soutěž v řešení fyzikálních příkladů, která je primárně určena pro středoškoláky. Může se jí však účastnit kdokoli v otevřené kategorii. zadání dostávají týmy v češtině i angličtině, což umožňuje účast soutěžících z celého světa. Článek přináší report účastníka a ukázku několika úloh., Ladislav Nagy, Karel Kolář., and Obsahuje bibliografii
Rights:
http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public

8957. G-dimension over local homomorphisms with respect to a semi-dualizing complex

Creator:
Dejun, Wu
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Cohen factorization, Gorenstein dimension, Gorenstein homomorphism, and semi-dualizing complex
Language:
English
Description:
We study the G-dimension over local ring homomorphisms with respect to a semi-dualizing complex. Some results that track the behavior of Gorenstein properties over local ring homomorphisms under composition and decomposition are given. As an application, we characterize a dualizing complex for $R$ in terms of the finiteness of the G-dimension over local ring homomorphisms with respect to a semi-dualizing complex.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

8958. G-matrices, J-orthogonal matrices, and their sign patterns

Creator:
Hall, Frank J and Miroslav Rozložník
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
Matematika, matematika, mathematics, G-matrix, J-orthogonal matrix, Cauchy matrix, sign pattern matrix, 13, and 51
Language:
English
Description:
A real matrix A is a G-matrix if A is nonsingular and there exist nonsingular diagonal matrices D_{1} and D_{2} such that A^{-T} = D_{1}AD_{2}, where A^{-T} denotes the transpose of the inverse of A. Denote by J = diag(±1) a diagonal (signature) matrix, each of whose diagonal entries is +1 or −1. A nonsingular real matrix Q is called J-orthogonal if Q^{T} JQ = J. Many connections are established between these matrices. In particular, a matrix A is a G-matrix if and only if A is diagonally (with positive diagonals) equivalent to a column permutation of a J-orthogonal matrix. An investigation into the sign patterns of the J-orthogonal matrices is initiated. It is observed that the sign patterns of the G-matrices are exactly the column permutations of the sign patterns of the J-orthogonal matrices. Some interesting constructions of certain J-orthogonal matrices are exhibited. It is shown that every symmetric staircase sign pattern matrix allows a J-orthogonal matrix. Sign potentially J-orthogonal conditions are also considered. Some examples and open questions are provided., Frank J. Hall, Miroslav Rozložník., and Obsahuje seznam literatury
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

8959. G-nut software library: state of development and first results

Creator:
Václavovic, Pavel, Jan Douša, and Györi, Gabriel
Format:
print, bez média, and svazek
Type:
article, články, model:article, and TEXT
Subject:
Geologie. Meteorologie. Klimatologie, zeměpisné souřadnice, geographical coordinates, GNSS, Precise Point Positioning, tropospheric path delays, G-Nut, C++ development library, 7, and 551
Language:
English
Description:
A Global Navigation Satellite System (GNSS) software library called G-Nut has been devel oped at the Geodetic Observatory Pecný (GOP) since 2011. Several applications built of the library will be provided as an open source in 2013 and consequently users are able to modify source code and use it for processing their own data free of charge. The main purpose of the project is to create a programming package suitable for implementing various end-user a pplications such as kinematic position estimation, long-term permanent station coordinates monitoring, zenith tropospheric delay estimation, satellite clock estimation and others. The library is written in C++ programming language following the object-oriented concept. Basic class structure implementing inputs/outputs and product/d ata containers support both real-time and post-processing modes. Integration of all available global navigation satellite systems (GPS, GLONASS, Galileo, BeiDou, QZSS) as well as new tracking signals is properly handled. The configuration is governed through the XML format. The estimation model currently supports the least square adjustment, the Kalman and square root covariance filtering methods based on processing undifferenced data and fixed precise orbit and clock products. The estimated state vector includes receiver coordinates and clocks, troposphere zenith path delays and initial carrier phase ambiguities. The first applications based on G-Nut library are shown with examples for off-line/online kinematic/static precise point positioning and ultra-fast troposphere estimation., Pavel Václavovic, Jan Douša and Gabriel Györi., and Obsahuje bibliografické odkazy
Rights:
http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public

8960. G-space of isotropic directions and G-spaces of ϕ-scalars with G = O(n, 1, ℝ)

Creator:
Misiak, Aleksander and Stasiak, Eugeniusz
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
G-space, equivariant map, and pseudo-Euclidean geometry
Language:
English
Description:
There exist exactly four homomorphisms ϕ from the pseudo-orthogonal group of index one G = O(n, 1, R) into the group of real numbers R0. Thus we have four G-spaces of ϕ-scalars (R, G, hϕ) in the geometry of the group G. The group G operates also on the sphere S n−2 forming a G-space of isotropic directions (S n−2 , G, ∗). In this note, we have solved the functional equation F(A∗q1, A∗q2, . . . , A∗qm) = ϕ(A)·F(q1, q2, . . . , qm) for given independent points q1, q2, . . . , qm ∈ S n−2 with 1 ≤ m ≤ n and an arbitrary matrix A ∈ G considering each of all four homomorphisms. Thereby we have determined all equivariant mappings F : (S n−2 ) m → R.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

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