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PLATON’UN E T M FELSEFES (Translate)
rfan GRKA
Journal of the Human and Social Science Researches (itobiad) , 2012,
Abstract: Bu yaz , Universidade Federal do Rio de Janeiro hocas Profes r Renato Jose de Oliveira’n n E itim Felsefesi Ansiklopedisi’nde Encyclopaedia of Philosophy of Education,http://www.ffst.hr/ENCYCLOPAEDIA yer alan Plato and Philosophy Education ba l kl yaz s n n evirisidir. Ad ge en ansiklopedi, M. Peters, P. Ghiraldelli, B. Zarnic, A. Gibbons, R. Heraud edit rlü ünde yay nlanm online ula labilir bir ansiklopedidir. eviride yazar n kaynak as oldu u gibi verilmi tir. Bize ait iki k sa a klama, dipnotta verilerek ( v.) notu dü ülmü tür.
Brézis-Wainger Inequality on Riemannian Manifolds
Górka Przemys?aw
Journal of Inequalities and Applications , 2008,
Abstract: The Brézis-Wainger inequality on a compact Riemannian manifold without boundary is shown. For this purpose, the Moser-Trudinger inequality and the Sobolev embedding theorem are applied.
Br zis-Wainger Inequality on Riemannian Manifolds
Przemys?aw Górka
Journal of Inequalities and Applications , 2008, DOI: 10.1155/2008/715961
Abstract: The Br zis-Wainger inequality on a compact Riemannian manifold without boundary is shown. For this purpose, the Moser-Trudinger inequality and the Sobolev embedding theorem are applied.
Sobolev spaces on locally compact abelian groups
Przemys?aw Górka,Enrique G. Reyes
Physics , 2012,
Abstract: Motivated by a class of nonlinear equations of interest for string theory, we introduce Sobolev spaces on arbitrary locally compact abelian groups and we examine some of their properties. Specifically, we focus on analogs of the Sobolev embedding and Rellich- Kondrachov compactness theorems. As an application, we prove the existence of continuous solutions to a generalized euclidean bosonic string equation possed on an arbitrary compact abelian group.
Structure analysis of welded joints of wear resistant plate and constructional steel
M. Adamiak,J. Górka,T. Kik
Archives of Materials Science and Engineering , 2010,
Abstract: Purpose: Purpose of this paper was to understand the structure and chemical composition changes of gas metal arc welded joints of wear resistant plate with constructional steel plate with possible application as replacing material for reservoirs and chute in cement industry. Based on the experiment results presented it is clear that welding of wear resistant plate with constructional steel is possible, but special attention is needed during the welding process of the root.Design/methodology/approach: Wear resistant plates can be used for elements working in intensive abrasion resistance conditions to obtain considerable material and economical savings based on the manufacturing costs reducing and decreasing turnaround time for replacing worn parts. During the welding process of two materials, when one is wear plate and the other is steel plate significant structure changes and mixing of alloying components in weld area are observed.Findings: Based on the experiment results presented it is clear that welding of wear resistant plate with constructional steel is possible, but special attention is needed during the welding process of the root, most of important changes during welding of wear resistant material are connected with melting, mixing and carbides passage into weld area, non uniform chemical composition of the welded joint creates different microstructures with different hardness.Practical implications: Welding of wear resistant plate with constructional steel is possible, but special attention is needed during the welding process of the root. Root weld must be free of cracks and possibly free of intermixing with wear resistant plate material. Applying welding parameters described in the paper is possible to achieve free of cracks root, presence of crack in face weld is not important in term of wear resistance abilities of chute.Originality/value: Development of new generation materials, which allow intensive use in machine parts with extended life-time is clear in demand especially when considering the economic aspects. Technological progress of new materials and new solutions for the future should be carefully and precisely analysed.
Structure and properties of laser alloyed surface layer
A. Dudek,Z. Nitkiewicz,A. Górka
Journal of Achievements in Materials and Manufacturing Engineering , 2008,
Abstract: Purpose: The purpose of the work was to create homogenous surface layer as a result of impulse laser alloying of TiO2 and low-alloy steel.Design/methodology/approach: The surfaces of samples, coated with ceramic coating, were then irradiated with CO2 laser beam. During the work microstructure and phase investigations as well as measurement of microhardness have been carried out while the chemical composition of the surface layers has been determined.Findings: The microstructure in all the paths created as a result of application of varied processing parameters was comparable. Chemical composition of individual zones which were a result of remelting proved creation of a surface layer rich in Ti.Research limitations/implications: Further research is aimed to determine corrosion resistance of the alloyed samples.Practical implications: TiO2 layers are widely applied e.g. in medicine which makes them an object of unflagging interest by researchers.Originality/value: Microstructure description of the alloyed surface layer cohesive-connected with base material, which eliminated fundamental problem involved with the created layers i.e. their poor adhesion, has been presented.
Comparison of abrasion resistance of selected constructional materials
M. Adamiak,J. Górka,T. Kik
Journal of Achievements in Materials and Manufacturing Engineering , 2009,
Abstract: Purpose: The aim of this work was to define and compare abrasion resistance of selected constructional materials widely used in the industry. Chromium cast iron wear resistant plates were compared with typically used wear resistant plates made from Hardox 400 steel and two different, wear resistant, materials cladded by welding technologies.Design/methodology/approach: The tests of abrasive wear were conducted in accordance to procedure “A” of standard ASTM G 65 - Standard Test Method for Measuring Abrasion Using the Dry Sand/Rubber Wheel Apparatus.Findings: Abrasion resistance tests shows that the best properties among investigated samples has chromium cast iron plate. Abrasion wear resistance of this plate is two times higher than wear resistance of layer made by welding technologies and nine times higher than typical Hardox 400 steel plate.Practical implications: Application, of abrasion resistant materials, results in significant material and economy savings, due to wear and costs reduction (decreasing stop times needed to change worn parts for a new one).Originality/value: Wear plates are modern solution in regeneration of worn machines parts and also for producing a new parts which connect high wear and abrasion resistance with costs reduction.
Computer aided structure prediction of 0H18N9 and S235JR steels laser welded joints
A. Klimpel,T. Kik,J. Górka
Journal of Achievements in Materials and Manufacturing Engineering , 2007,
Abstract: Purpose: of these researches was to investigate possibilities of joining materials with different chemical composition and properties. CAW software to prediction of joints structure was used.Design/methodology/approach: the quality of single- and double sided joints was assessed by metallographic examinations, hardness tests, tensile and bending tests.Findings: a computer aided structure prediction was tested by metallographic examinations and hardness tests. Because of possibility of use these type of joints in medical equipment production tensile and bending tests and also corrosion resistance tests were preformed.Research limitations/implications: for complete information about tested different chemical composition and properties materials joints it is needed to check others materials in place of S235JR carbon steel.Practical implications: result of this paper is a information that is possible to join materials with different chemical composition and properties materials with different chemical composition and properties. It is also possible to precise predict structure of weld using computer software.Originality/value: the researches were provided for welding materials used in medical equipment producing. Welded joints were tested for a corrosion resistance in typical disinfectants used in medical conditions. At the beginning computer prediction was used.
Multipole matrix elements of Green function of Laplace equation
Karol Makuch,Przemys?aw Górka
Physics , 2015, DOI: 10.5506/APhysPolB.46.1487
Abstract: Multipole matrix elements of Green function of Laplace equation are calculated. The multipole matrix elements of Green function in electrostatics describe potential on a sphere which is produced by a charge distributed on the surface of a different (possibly overlapping) sphere of the same radius. The matrix elements are defined by double convolution of two spherical harmonics with the Green function of Laplace equation. The method we use relies on the fact that in the Fourier space the double convolution has simple form. Therefore we calculate the multipole matrix from its Fourier transform. An important part of our considerations is simplification of the three dimensional Fourier transformation of general multipole matrix by its rotational symmetry to the one-dimensional Hankel transformation.
The Liouville theorems for elliptic equations with nonstandard growth
Tomasz Adamowicz,Przemys?aw Górka
Mathematics , 2014,
Abstract: We study solutions and supersolutions of homogeneous and nonhomogeneous $\mathcal{A}$-harmonic equations with nonstandard growth in $\mathbb{R}^n$. Various Liouville-type theorems and nonexistence results are proved. The discussion is illustrated by a number of examples.
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