Silesian University of Technology
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1101 research outputs found
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Metody redukcji szumów w obrazach cyfrowych oparte na koncepcji eksploracji lokalnego sąsiedztwa przez geodezyjne ścieżki cyfrowe
No full textRecenzja rozprawy doktorskiej mgra inż. Andrzeja Kilarskiego pt. Wpływ odkształcenia plastycznego na stabilność mechaniczną austenitu szczątkowego w stalach bainitycznych
No full textRecenzja rozprawy doktorskiej mgr inż. Agnieszki Knoppik-Wróbel pt. Analysis of early-age thermal-shrinkage stresses in reinforced concrete walls
No full textRecenzja rozprawy doktorskiej mgra inż. Romana Komora pt. Badania nad syntezą i wstępną oceną właściwości biologicznych glikokoniugatów, pochodnych nukleozydów
No full textA note on commutators in the group of infinite triangular matrices over a ring
No full textWe investigate the commutators of elements of the group UT(∞,R) of infinite unitriangular matrices over an associative ring R with 1 and a commutative group R* of invertible elements. We prove that every unitriangular matrix of a specified form is a commutator of two other unitriangular matrices. As a direct consequence we give a complete characterization of the lower central series of the group UT(∞,R) including the width of its terms with respect to basic commutators and Engel words. With an additional restriction on the ring R, we show that the derived subgroup of T(∞,R) coincides with the group UT(∞,R). The obtained results generalize the results obtained for triangular groups over a field
Description and visualization of large deformations of continuum with Mathematica
No full textOne of the most difficult problems in undestanding mechanics of large deformation of the continuum are ability of students and engineers (also those with professor titles) to deal with continuum as a curved space due to large deformations. There are many misunderstanding in many books on Continuum Mechanics connected with disability with dealing with curvilinear systems of coordinates. The most useful educational method of explaining problems for engineers is 3D animated graphics. Mathematica with its tools of dealing with vectors, tensors and interactive visualization makes it possible to override this perception problem. Application of Manipulate function and graphical facilities of Mathematica makes it possible to understand many aspects of deformation description like differences between Gausian and Lagrangian coordinates, reference and actual configuration. Description and visualization of large deformations of continuum with Mathematica.One of the most difficult problems in undestanding mechanics of large deformation of the continuum are ability of students and engineers (also those with professor titles) to deal with continuum as a curved space due to large deformations. There are many misunderstanding in many books on Continuum Mechanics connected with disability with dealing with curvilinear systems of coordinates. The most useful educational method of explaining problems for engineers is 3D animated graphics. Mathematica with its tools of dealing with vectors, tensors and interactive visualization makes it possible to override this perception problem. Application of Manipulate function and graphical facilities of Mathematica makes it possible to understand many aspects of deformation description like differences between Gausian and Lagrangian coordinates, reference and actual configuration. Description and visualization of large deformations of continuum with Mathematica
The analysis of the relationship between the organizational structure, the inflow of cases and fixing the number of permanent posts within the common judiciary - a perspective of performance measurement
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Generalized functions and calculus operators of Mathematica applied to evaluation of influence lines and envelopes of statically indeterminate beams
No full textThe paper presents an analytical method of finding functions of influence lines of statically indeterminate beams. There are presented solutions of a fourth order equation with a right hand side with second and third derivative of Dirac delta. There is shown that their solution are influence lines of moments and transverse forces. Moreover, thanks to Mathematica, analytical form of envelopes functions can be evaluated