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PL
Artykuł przedstawia przygotowany algorytm na bazie połączenia idei znanych metod numerycznych z metodami opartymi na idei roju. Algorytm został przygotowany z inspiracji polem walki podczas którego w równych odstępach żołnierze przeczesują siły wroga z różnymi prędkościami zależnie od posiadanego orężu a następnie ograniczają zakres pola bitwy. Zaproponowane rozwiązanie wywodzi się właśnie ze zbliżonych założeń. Głównym założeniem pracy było przedstawienie potencjalnego zysku z połączenia metod optymalizacji oraz porównanie metody mieszanej z metodami bazującymi na idei roju pod względem prędkości działania oraz skuteczności odnajdowania optimum globalnego.Algorytm został porównany z dwoma algorytmami metaheurystycznymi pod kątem dokładności odnalezionych rozwiązań oraz prędkości. Zgodnie z wynikami eksperymentów posiada wydajność podobną w porównaniu z innymi algorytmami oraz daje zadowalające efekty w wykorzystaniu.
EN
he article presents prepared algorithm based on the combination of the ideas of known numericalmethods with methods based on the idea of a swarm. The algorithm was prepared inspired by the battlefield,during which, at equal intervals, soldiers scour enemy forces at different speeds depending on the weapon theyhave, and then limit the scope of the battlefield. The proposed solution is based on similar assumptions. Themain assumption of the work was to present the potential profit from the combination of optimization methodsand to compare the mixed method with methods based on the idea of a swarm in terms of operating speed andthe effectiveness of finding the global optimum. The algorithm was compared with two metaheuristic algorithmsin terms of the accuracy of the solutions found and speed. According to the results of the experiments, it hasa similar performance compared to other algorithms and gives satisfactory results in use.
EN
Expanded polystyrene is widely used as a material for packaging, in modern construction as a heat and sound insulation layer, in thermal insulation systems for buildings, as well as tanks and pipelines. It is additionally used in foundry engineering for the production of models which are gasified during the production of castings from ferrous and non-ferrous alloys under the contact with liquid metal. The use of expanded polystyrene products is associated with waste generation, both in production and in consumption. About 40–50 kg/person of polystyrene waste is generated per year. The peculiarity of polymeric wastes is their resistance to aggressive environments. They do not rot and the destruction processes in natural conditions proceed rather slowly, with the formation of harmful substances that poison the environment. Therefore, the problem of the processing of waste from polymeric materials is of great importance, not only from the standpoint of environmental protection, but also due to the fact that in conditions of a shortage of polymer raw materials, this waste becomes a powerful raw material resource. This article describes the prospects for recycling expanded polystyrene wastes in foundry engineering. In this work, the properties of molding and core sands containing a combined binder, consisting of a solution of expanded polystyrene wastes in turpentine and clay were investigated, and their main characteristics (weight during stretching and crumbling) were determined. Molding and core mixtures, which contain only a binder in the form of a solution of expanded polystyrene in turpentine, have a crude strength of not more than 0.01 MPa. The introduction of a mixture of clay in the amount of 2–3% allows a crude strength of the mixture of up to 0.05 MPa to be obtained. After drying, the investigated mixtures containing a solution of expanded polystyrene wastes and clay have a tensile strength of up to 2.1 MPa. Mixtures into which a solution of polystyrene wastes and clay was introduced have an insignificant gas capacity and satisfactory gas permeability.
EN
The Lagrange-Sylvester formula is applied to the computation of the solutions of state equations of fractional continuous-time and discrete-time linear systems. The solutions are given as finite sums with their numbers of components equal to the degrees of the minimal characteristics polynomials of state matrices of the systems. Procedures for computations of the solutions are given and illustrated by numerical examples of continuous-time and discrete-time fractional linear systems.
EN
Information Technology (IT) is a complex domain. In order to properly manage IT related processes, several frameworks including ITIL (Information Technologies Infrastructure Library), COBIT (Control OBjectives for Information and related Technologies), IT Service CMMI (IT Service Capability Maturity Model) and many others have emerged in recent decades. Meanwhile, the prevalence of Agile methods has increased, posing the coexistence of Agile approach with different IT frameworks already adopted in organizations. More specifically, the pursuit of being agile in the area of digitalization pushes organizations to go for agile transformation while preserving full compliance to IT frameworks for the sake of their survival. The necessity for this coexistence, however, brings its own challenges and solutions for harmonizing the requirements of both parties. In this paper, we focus on harmonizing the requirements of COBIT and Scrum in a same organization, which is especially challenging when a full compliance to COBIT is expected. Therefore, this study aims to identifying the challenges of and possible solutions for the coexistence of Scrum and COBIT (version 4.1 in this case) in an organization, by considering two case studies: one from the literature and the case of Akbank delivered in this study. Thus, it extends the corresponding previous case study from two points: adds one more case study to enrich the results from the previous case study and provides more opportunity to make generalization by considering two independent cases.
EN
The objective of this article is to discuss the existence and uniqueness of mild solutions for a class of non-autonomous semilinear differential equations with nonlocal condition via monotone iterative method with upper and lower solutions in an ordered complete norm space X, using evolution system and measure of noncompactness.
EN
The positivity of fractional descriptor linear continuous-time systems is investigated. The solution to the state equation of the systems is derived. Necessary and sufficient conditions for the positivity of fractional descriptor linear continuous-time systems are established. The considerations are illustrated by numerical examples.
EN
In this paper, we first study a composite relaxed resolvent operator and prove some of its properties. After that, we introduce a Yosida approximation operator based on the composite relaxed resolvent operator and demonstrate some properties of the Yosida approximation operator. Finally, we obtain the solution of a system of Yosida inclusions by applying these concepts.We construct a conjoin example in support of many concepts derived in this paper. Our concepts and results are new in the literature and can be used for further research.
EN
In this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Hadamard fractional order. We use an extension of the Burton-Kirk fixed point theorem in Fréchet spaces.
PL
Kontynuujemy temat prawa pracy i kwestii związanych z rozwiązaniem umowy o pracę. Ostatnio przedstawiliśmy zasady prawa pracy oraz jak wygląda rozwiązanie umowy o pracę za wypowiedzeniem. Teraz – przydatne informacje o rozwiązaniu umowy o pracę bez wypowiedzenia, zarówno przez pracodawcę (z winy pracownika), jak i pracownika (z winy pracodawcy), a także z powodu innych, określonych w kodeksie pracy zdarzeń.
EN
Factional Discrete-time linear systems with fractional different orders are addressed. The Weierstrass-Kronecker decomposition theorem of the regular pencil is extended to the descriptor fractional discrete-time linear system with different fractional orders. Using the extension, method for finding the solution of the state equation is derived. Effectiveness of the method is demonstrated on a numerical example.
EN
A transient analytical model is worked out for predicting seepage from a ponded field of infinite extent to a network of equally spaced ditch drains in a homogeneous and anisotropic soil underlain by an impervious barrier at a finite distance from the surface of the soil. The solution can account for finite width and finite level of water in the ditches, finite penetration of the drains in the soil, and also a variable ponding field at the surface of the soil. The study highlights the fact that the transient state duration of a partially penetrating ponded drainage scenario may be considerable should the drains be dug in a lowly conductive soil with a high storage coefficient, particularly if the underlying impervious layer lies at a large distance from the bottom of the ditches and the separation between the adjacent ditches is also large at the same time.
14
Content available remote Budownictwo wysokie w Polsce. Cz.3 Najnowsze realizacje
EN
There are plenty of interesting examples of high-rise buildings currently under construction in Poland. Their construction design up to 200 metres in the core-pillar structure is no more a major struggle for Polish engineers and the conducted constructions confirm the high concern and interest of investors in the idea of raising skyscrapers. Moreover, the number of designers and executive companies well prepared for such investments is constantly growing. The article presents the subject on exceptional examples of skyscrapers located in Warsaw and Szczecin.
15
Content available remote Budownictwo wysokie w Polsce. Cz.2 Czasy współczesne
EN
The nineties of the twentieth century was a period of a good prosperity for high-rise buildings in Warsaw. It lasts continuously until today. At the beginning of the twenty-first century, a trend started in the capital also spreads to other cities in Poland. The article is a review of selected, high-rise buildings most representative in terms of their architecture and design and applied the most interesting solutions.
EN
A method for finding of the solutions of the state equations of descriptor fractional discrete-time linear systems with regular pencils and a procedure for computation of transition matrices of the system are proposed. On the basis of this procedure a computer algorithm which calculates the transition matrices and solution of the system is presented. The effectiveness of the proposed procedure and algorithm is demonstrated on analytical and numerical examples.
PL
W pracy zaprezentowano metodę wyznaczania rozwiązań singularnych układów dyskretnych niecałkowitych rzędów o pęku regularnym. W rozdziale 2 przedstawiono rozwiązanie równania stanu tej klasy układów. Procedurę wyznaczania macierzy tranzycji tego rozwiązania zaprezentowano w rozdziale 3 oraz podano przykład numeryczny wyznaczania rozwiązania równania stanu (Example 1). W rozdziale 4 przedstawiono komputerowy algorytm wyznaczania macierzy tranzycji rozwiązania singularnych dyskretnych układów niecałkowitego rzędu (rys. 1). Działanie algorytmu zostało zilustrowane przykładami numerycznymi (Example 2 i Example 3). Dla otrzymanych rozwiązań wykreślono przebiegi składowych wektorów stanu (rys. 2 i rys. 3). W rozdziale 5 zamieszczono podsumowanie. W oparciu o rozważania z pracy można otrzymać analogiczną procedurę wyznaczania macierzy tranzycji dla singularnych układów ciągłych niecałkowitego rzędu o pęku regularnym. Problemem otwartym jest opracowanie metody rozwiązania równań stanu singularnych układów dwuwymiarowych ciągłych i dyskretnych niecałkowitych rzędów o regularnych pękach.
17
Content available remote Architecture of iterative solvers for hp-adaptive finite element codes
EN
We present a layered architecture for iterative solvers of linear equations, designed to allow for easy integration with existing hp-adaptive FEM codes. We discuss interfaces between a solver and an external FEM code and requirements for the FEM code that must be met in order to work with the solver. Our solution is suited to work effectively with stationary as well as time-dependent problems. In this article, we provide an overview of the layered solver's structure and modules of each layer. In subsequent articles, we will present specific implementations of particular layers.
EN
New classes of singular fractional continuous-time and discrete-time linear systems are introduced. Electrical circuits are example of singular fractional continuous-time systems. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and Laplace transformation the solution to the state equation of singular fractional linear systems is derived. It is shown that every electrical circuit is a singular fractional systems if it contains at least one mesh consisting of branches with only ideal supercondensators and voltage sources or at least one node with branches with supercoils. Using the Weierstrass regular pencil decomposition the solution to the state equation of singular fractional discrete-time linear systems is derived. The considerations are illustrated by numerical examples.
EN
The time varying hydromagnetic flow between two infinite parallel porous plates is studied with heat transfer considering the Hall effect and temperature dependent physical properties. An exponential decaying pressure gradient is imposed in the axial direction and an external uniform magnetic field as well as a uniform suction and injection are applied perpendicular to the horizontal plates. A numerical solution for the governing non-linear coupled set of equations of motion and the energy equation is adopted. The effects of the Hall current and the temperature dependent viscosity and thermal conductivity on both the velocity and temperature distributions are investigated.
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