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Using the Total Least Square Method by Deformation Strain Analyses of the Eastern Edge Eastern Tatras

Weiss G., Gasinec J., Zeliznakova V., Gasincova S.

Inżynieria Mineralna

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2014

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R. 15, nr 1

213--226

EN

This contribution discusses the course of deformation analysis of the eastern edge of the High Tatras - for this purpose, a static method with three hours of observations using each point designed appropriately chosen points of the State spatial network in the locality. It was used a three-dimensional Helmert transformation using two methods - the ordinary least squares and total least squares method - to transform of coordinates between the different epochs of deformation of the investigation. Due to the better visualization of the displacements, co-ordinates of the points of both epochs of deformation investigation are transformed from the European Terrestrial Reference System 1989 (ETRS89) to the Uniform Trigonometric Cadastral Network (JTSK 03). The final section of that article is devoted to the analysis of strain and consequently draw up the illustrated maps with horizontal and vertical displacements.

PL

W artykule przedstawiono wyniki badań nad możliwością wykorzystania popiołów lotnych w technologiach zawiesinowych stosowanych w górnictwie podziemnym. Zawiesiny sporządzono z dwóch popiołów pochodzących z różnych instalacji, spalających komunalne osady ściekowe w kotłach fluidalnych. Właściwości zawiesin jak i kierunek ich zastosowania określono zgodnie z Polską Normą PN-G-11011 1998. Sporządzone zawiesiny nie spełniały wymagań dotyczących zastosowania w podsadzce zestalanej, natomiast w zależności od ich składu mogą być stosowane do izolacji i doszczelniania zrobów zawałowych.

2

Deformation Analysis of the Network Structure Measured by Global Navigation Satellite Systems with a Selection of Cofactors

Weiss G., Labant S., Weiss E.

Inżynieria Mineralna

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2014

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R. 15, nr 1

55--68

EN

Global Navigation Satellite Systems technology in the years 2004 and 2008. The aim of the work is to evaluate the influence of parameters entering the model, estimate parameters of the first and second grades of the network structures and present the results of the deformation analysis with graphic visualisation of individual processes and analyses. Four types of cofactors or weights were used to process and adjust the observations as recommended by the manufacturer of the GNSS receiver by way of substitution of a covariance matrix from the Spectrum Survey using RMS and constant 1 as an a priori nominal variance factor. The MINQUE method was also used to estimate cofactors of the observation components. The greatest weights were estimated by the application of the MINQUE method and assigned to their vectors. Based on the coordinate estimates of the determined points, a solution with cofactors using the covariance matrix proved to be the one that has the least deviations. From the viewpoint of standard deviations, the solution using the covariance matrixes from the Spectrum Survey achieved the highest degree of accuracy. Numerical results from processing showed the use of the MINQUE method as a suitable alternative to laborious input of covariance matrixes into the Spectrum Survey software environment.

PL

Niniejsza praca dotyczy analizy deformacji geodezyjnych sieci 3D w elektrowni wodnej Cierny Vah zaobserwowanych za pomocą technologii nawigacji satelitarnej w latach 2004 i 2008. Celem pracy jest ocena wpływu parametrów wprowadzanych do modelu, oszacowanie parametrów pierwszego i drugiego stopnia struktury sieci oraz przedstawienie wyników analizy zniekształceń za pomocą graficznej wizualizacji poszczególnych procesów i analiz. Cztery typy kofaktorów zostały użyte do przetworzenia i dostosowania obserwacji zgodnie ze wskazówkami producenta odbiornika GNSS (Global Navigation Satellite Systems) poprzez zastąpienie macierzy kowariancji z pomiaru widma przy użyciu RMS oraz stałej 1 jako wariancji nominalnej. Metoda MINQUE została również zastosowana w celu określenia kofaktorów komponentów obserwacyjnych. Największe wagi zostały oszacowane przez zastosowanie metody MINQUE i przypisanie im wektorów. Bazując na szacunkowych współrzędnych określonych punktów, rozwiązaniem okazał się być wybór kofaktorów z użyciem macierzy kowariancji ze względu na najmniejsze odchylenia. Z punktu widzenia odchyleń standardowych, wybór macierzy kowariancji z badania widm osiągnął najwyższy stopień dokładności. Wyniki liczbowe otrzymane z przetworzenia danych pokazały, że użycie metody MINQUE jest odpowiednią alternatywą dla żmudnego wprowadzania macierzy kowariancji do środowiska programistycznego.

3

Composition of Trichiuridae and Gempylidae larvae (Teleostei) and their association with water masses in the Southwest Atlantic Ocean

Mafalda P. Jr., de Souza C.S., Weiss G.

Oceanological and Hydrobiological Studies

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2009

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Vol. 38, No.4

3-20

EN

In this paper the relationship between temporal changes in the occurrence of water masses and Trichiuridae and Gempylidae larvae composition and distribution in the Southwest Atlantic ocean were analysed between 25° and 40° S. Ichthyoplankton was collected during the three expeditions of the Subtropical Convergence Project: Winter and Spring 1977, Autumn 1978 and Summer 1981, realized in the Southwest Atlantic waters. Oblique tows were conducted using a Hensen net with 250 ěm mesh size. Steep salinity and temperature gradient were found, where the river outflows from La Plata river (Argentina) and Patos Lagoon (Brazil) met the Tropical Water over the continental shelf between 32 and 36° S. We examined 524 Hensen-net samples that contained about 283 larvae from five species of Trichiuridae and Gempylidae. The most abundant and frequent specie were Trichiurus lepturus Linnaeus 1758 and Diplospinus multistriatus Maul 1948. The mesopelagics species D. multistriatus, Nealotus tripes Johnson 1865 and Lepidopus altifrons Parin&Collette, 1993 were associated with Tropical Water. The benthopelagic T. lepturus and the epipelagic Thyrsitops lepidopoides (Cuvier 1832) were associated mainly with Coastal Water and Subtropical Shelf Water.

4

Layering of the Poisson process in the quadrant

Levikson B., Rolski T., Weiss G.

Probability and Mathematical Statistics

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2001

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Vol. 21, Fasc. 2

417--440

EN

We consider the increasing sequence of non-intersecting monotone decreasing step processes Y*n(t), n = 1, 2,...(t > 0), whose jump points cover all the points of the homogeneous rate 1 Poisson process on the quadrant R2+. We deriveproperties of these processes, in particular the marginal distributions P(Y*n(t) > x), in terms of a Toeplitz determinant of some modified Bessel functions. Our system provides a new view of the Hammersley interacting particle system discussed by Aldousand Diaconis, and the distributions we derive are related tothe distribution of the length of the longest ascending sequence in a random permutation.

5

Well-Posed Linear Systems - a Survey With Emphasis on Conservative Systems

Weiss G., Staffans O. J., Tucsnak M.

International Journal of Applied Mathematics and Computer Science

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2001

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Vol. 11, no 1

7-33

EN

We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam.