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Search results for: RIEMANNIAN MANIFOLD · HESTENES OPERATOR · SMOOTH ORTHOGONAL PROJECTION · LATITUDINAL PROJECTION · SMOOTH DECOMPOSITION OF IDENTITY · MORSE FUNCTION · SOBOLEV SPACE
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Mountain pass type periodic solutions for Euler–Lagrange equations in anisotropic Orlicz–Sobolev space
PublicationUsing the Mountain Pass Theorem, we establish the existence of periodic solution for Euler–Lagrange equation. Lagrangian consists of kinetic part (an anisotropic G-function), potential part and a forcing term. We consider two situations: G satisfying at infinity and globally. We give conditions on the growth of the potential near zero for both situations.
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Morse decompositions for a two-patch vaccination model
Open Research DataThis dataset contains selected results of rigorous numerical computations described in Section 5 of the paper "Rich bifurcation structure in a two-patch vaccination model" by D.H. Knipl, P. Pilarczyk, G. Röst, published in SIAM Journal on Applied Dynamical Systems (SIADS), Vol. 14, No. 2 (2015), pp. 980–1017, doi: 10.1137/140993934.
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Heat transfer during pool boiling on smooth tube bundle
PublicationPrzedstawiono wyniki pomiarów współczynnika przejmowania ciepła dla pęku 19 gładkich rurek ze stali nierdzewnej ogrzewanych elektrycznie podczas wrzenia wody destylowanej, metanolu i R141b. Zaproponowano równanie korelacyjne do obliczania średniego współczynnika przejmowania ciepła.
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Fixed point indices of iterated smooth maps in arbitrary dimension
PublicationWe give a complete description of possible sequences ofindices of iterations of f at an isolated fixed point, answering inaffirmative the Chow, Mallet-Paret and Yorke conjecture posed in[S.N. Chow, J. Mallet-Parret, J.A. Yorke, A periodic point index whichis a bifurcation invariant, in: Geometric Dynamics, Rio de Janeiro,1981, in: Lecture Notes in Math., vol. 1007, Springer, Berlin, 1983,pp. 109-131].
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Smooth least absolute deviation estimators for outlier-proof identification
PublicationThe paper proposes to identify the parameters of linear dynamic models based on the original implementation of least absolute deviation estimators. It is known that the object estimation procedures synthesized in the sense of the least sum of absolute prediction errors are particularly resistant to occasional outliers and gaps in the analyzed system data series, while the classical least squares procedure unfortunately becomes...
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Indices of interations and periodic points of simplical maps of smooth type
PublicationW pracy dowodzi się symplicjalnego odpowiednika twierdzenia Chowa, Mallet-Paret i Yorke´a. Otrzymany wynik służy do badania punktów periodycznych odwzorowań symplicjalnych gładkiego typu.
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Vector Field Editing and Periodic Orbit Extraction Using Morse Decomposition
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A constitutive law for concrete with smooth transition from continuous into discontinuous cracks’ description
PublicationPaper presents a constitutive model for concrete that combines a continuous and discontinuous crack’s description to simulate the concrete under tensile dominated loads. In a continuum regime, two different constitutive laws were used. First, a plasticity model with the Rankine failure criterion and an associated flow rule was used. Second, a constitutive law based on isotropic damage mechanics was formulated. Both model alternatives...
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Neotenic phenomenon in gene expression in the skin of Foxn1- deficient (nude) mice - a projection for regenerative skin wound healing
PublicationMouse fetuses up to 16 day of embryonic development and nude (Foxn1- deficient) mice are examples of animals that undergo regenerative (scar-free) skin healing. The expression of transcription factor Foxn1 in the epidermis of mouse fetuses begins at embryonic day 16.5 which coincides with the transition point from scar-free to scar-forming skin wound healing. In the present study, we tested the hypothesis that Foxn1 expression...
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Patterned hydrophobic and hydrophilic surfaces of ultra-smooth nanocrystalline diamond layers
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Minimal number of periodic points for smooth self-maps of S^3
PublicationW pracy wyznaczona została najmniejsza liczba punktów periodycznych w gładkiej klasie homotopii odwzorowania sfery trójwymiarowej w siebie.
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Minimal number of periodic points for smooth self-maps of RP^3
PublicationNiech f będzie gładkim odwzorowaniem 3-wymiarowej rzeczywistej przestrzeni rzutowej w siebie, r będzie ustaloną liczbą naturalną. W artykule wyznaczona została minimalna liczba punktów r-periodycznych w gładkiej klasie homotopii odwzorowania f.
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Electronically Excited States in Solution via a Smooth Dielectric Model Combined with Equation-of-Motion Coupled Cluster Theory
PublicationWe present a method for computing excitation energies for molecules in solvent, based on the combination of a minimal parameter implicit solvent model and the equation-of-motion coupled-cluster singles and doubles method (EOM-CCSD). In this method, the solvent medium is represented by a smoothly varying dielectric function, constructed directly from the quantum mechanical electronic density using only two tunable parameters. The...
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Closed forms of the Green's function and the generalized Green's function for the Helmholtz operator on the N-dimensional unit sphere
PublicationPokazano, że funkcję Greena dla operatora Helmholtza na N-wymiarowej sferze jednostkowej można wyrazić przez funcję Gegenbauera pierwszego rodzaju. W tych przypadkach, w których funkcja Greena nie istnieje, skonstruowano uogólnioną funkcję Greena.
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Mountain pass solutions to Euler-Lagrange equations with general anisotropic operator
PublicationUsing the Mountain Pass Theorem we show that the problem \begin{equation*} \begin{cases} \frac{d}{dt}\Lcal_v(t,u(t),\dot u(t))=\Lcal_x(t,u(t),\dot u(t))\quad \text{ for a.e. }t\in[a,b]\\ u(a)=u(b)=0 \end{cases} \end{equation*} has a solution in anisotropic Orlicz-Sobolev space. We consider Lagrangian $\Lcal=F(t,x,v)+V(t,x)+\langle f(t), x\rangle$ with growth conditions determined by anisotropic G-function and some geometric conditions...
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Influence of pressure on heat transfer during pool boiling on smooth tube bundle
PublicationPrzedstawiono wyniki badań eksperymentalnych wrzenia wody, metanolu i R141b na pęu rur głądkich w warunkach podcisnienia i ciśnienia atmosferycznego
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Pool boiling of water-Al2O3 and water-Cu nanofluids on horizontal smooth tubes
PublicationPrzedstawiono wyniki badań eksperymentalnych wrzenia dwóch nanocieczy woda-Al2O3 i woda Cu na poziomych gładkich rurkach stalowych i miedzianych. Koncentracja nanoicząstek wynosiła 0.01%, 0.1% oraz 1%.
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Horizontal flow boiling of R22, R134a and their mixtures with oil in smooth and enhanced tubes
PublicationOpisano stanowisko i procedurę badawczą. Przedstawiono wyniki badań wrzenia czynników R 22 i R 134a oraz ich mieszanin z olejem wewnątrz dwóch rur gładkich i dwóch rur o rozwiniętej powierzchni. Zweryfikowno wybrane korelacje współczynnika przejmowania ciepła podczas wrzenia czystych czynników chłodniczych w rurach gładkich.
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Pool boiling of water-Al2O3 and water-Cu nanofluids on horizontal smooth tubes
PublicationPrzedstawiono wyniki pomiarów współczynnika przejmowania ciepła podczas wrzenia dwóch nanocieczy, tj. woda-Al2O3 i woda-Cu o trzech koncentracjach masowych nanocząstek: 0.01%,0.1% oraz 1% na poziomych gładkich rurkach ze stali nierdzewnej i miedzi o średnicy zewnętrznej 10 mm.
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Minimizing the number of periodic points for smooth maps. Non-simply connected case
PublicationNiech f będzie gładkim odwzorowaniem zamkniętej rozmaitości o wymiarze wiekszym niż 2, a r ustaloną liczbą naturalną. W artykule zdefiniowany został niezmiennik topologiczny równy minimalnej liczbie punktów r-periodycznych w gładkiej klasie homotopii f.
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Flow boiling of R22, R134a and R 407C inside horizontal smooth tubes.
PublicationPrzedstawiono wyniki badań współczynnika przejmowania ciepła i spadku cisnienia podczas wrzenia czynników R22, R134a i R407C w rurach gładkich, wykonanych z miedzi i ze stali nierdzewnej.Opisano stanowisko i procedurę badawczą. Temperatura wrzenia wynosiła 0 st.C, stopień suchości na wlocie do odcinka pomiarowego był równy O, a na wylocie 0,7. Badania prowadzono w zakresie gestości strumienia masy od 250 do 500 kg/m2s. Zaobserwowano...
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The function of the sculpture in public space and its reception occupants of the city
PublicationSculpture has been with people for thousands of years. Its destiny, subject and scale have changed over the centuries. Public art, along with sculpture, began to appear in a new form (not only to commemorate important figures and events) only in the 1960s. This paper aims to answer what functions are currently performed by the sculptures located in a public space and how they are perceived by the inhabitants of the city.
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Morse inequalities via Conley index theory
PublicationThe relation known as the Morse inequalities can be extended to a more general setting of flows on a locally compact metric spaces (Conley index) as well as dynamical systems on Hilbert spaces (LS-index). This paper is a discourse around this extension. Except the part concerning the LS-index the material is self-contained and has a character of a survey.
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Adam Dąbrowski dr inż.
PeopleAdam Dabrowski has obtained a PhD in mechanical engineering from Gdańsk University of Technology and MSc. degree in mechatronics from Technische Universität Hamburg. He has an industry experience in Institute of Aviation Engineering Design Center (Warsaw, Poland) and SICK AG (Hamburg, Germany). Additionally, as an assistant at Gdansk University of Technology he teaught courses on mechanics, space mechanisms and dynamics of space...
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Shaping Place Identity through Interaction on the Example of the European Solidarity Centre in Gdansk
PublicationThe article presents process of shaping place identity on the example of an important for Pomerania region investment - European Solidarity Centre. The realization of the European Solidarity Centre aims to be one of the essential elements of shaping Gdańsk’s identity of space. The article is an attempt to analyse how the presence of realization gradually affects the formation of the place identity of new urban space. Analysis...
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IL-22 modulates inflammatory properties of human primary aortic smooth muscle cells
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Nucleate pool boiling heat transfer from small horizontal smooth tube bundles
PublicationPrzedstawiono wyniki pomiarów współczynnika przejmowania ciepła podczas wrzenia wody destylowanej, metanolu i R141b na poziomym pęku rur gładkich, który składał się z 19 rurek, ogrzewanych elektrycznie, w układzie przestawionym i podziałce 1.7d oraz 2.0d. Wyznaczono również wartości współczynnika wpływu pęku. Podano równanie korelacyjne do obliczania średniego współczynnika przejmowania ciepła
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Comprehensive circumscribing of non-linearity cases of a water supply system with smooth flow control
PublicationW artykule opisano formalnie poprawne metody opisu matematycznego pracy pomp o płynnie regulowanych wydatkach oraz reduktorów ciśnienia i reduktorów przepływu w modelowaniu przepływów ustalonych zachodzących w systemach wodociągowych. Opisano metodę opartą o dynamiczną analizę wrażliwości systemu oraz metodę wykorzystującą charakterystyki hydrauliczne systemu wodociągowego. Przedstawiono wyniki symulacji wykorzystującej ww. metody...
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Morse decompositions for a two-dimensional discrete neuron model (low resolution)
Open Research DataThis dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper “Topological-numerical analysis of a two-dimensional discrete neuron model” by Paweł Pilarczyk, Justyna Signerska-Rynkowska and Grzegorz Graff. A preprint of this paper is available at https://doi.org/10.48550/arXiv.2209.03443.
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Morse decompositions for a two-dimensional discrete neuron model (limited range)
Open Research DataThis dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper “Topological-numerical analysis of a two-dimensional discrete neuron model” by Paweł Pilarczyk, Justyna Signerska-Rynkowska and Grzegorz Graff. A preprint of this paper is available at https://doi.org/10.48550/arXiv.2209.03443.
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Morse decompositions for a two-dimensional discrete neuron model (full range)
Open Research DataThis dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper “Topological-numerical analysis of a two-dimensional discrete neuron model” by Paweł Pilarczyk, Justyna Signerska-Rynkowska and Grzegorz Graff. A preprint of this paper is available at https://doi.org/10.48550/arXiv.2209.03443.
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Recurrence times in the Morse sets for a two-dimensional discrete neuron model (low resolution)
Open Research DataThis dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper “Topological-numerical analysis of a two-dimensional discrete neuron model” by Paweł Pilarczyk, Justyna Signerska-Rynkowska and Grzegorz Graff. A preprint of this paper is available at https://doi.org/10.48550/arXiv.2209.03443.
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Classical to Path-Integral Adaptive Resolution in Molecular Simulation: Towards a Smooth Quantum-Classical Coupling
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Circumferential temperature distribution during nucleate pool boiling outside smooth and modified horizontal tubes
PublicationPrzedstawiono wyniki badań eksperymentalnych obwodowego rozkłądu temperatury w poziomych rurkach, ogrzewanych elektrycznie na których zachodzi wrzenie pęcherzykowe. Wykazano, że lokalne - w obszarze górnej tworzącej rurki, zastosowanie powłki porowatej prowadzi do wygładzenia rozkładu temperatury oraz obniżenia średniej temperatury ścianki.
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Influence of transport policy on shape and function of public space
PublicationIstotnym wyznacznikiem atrakcyjności miejsca jest dostępność, zdeterminowana przez skalę podażowej polityki transportowej oraz wielkość wskaźnika motoryzacji. Samochód, jako dobro powszechnie dostępne, wpłyną na zmianę zachowań społecznych mieszkańców oraz na percepcję, kształt i funkcjonowanie przestrzeni miejskich. Z jednej strony integruje tkankę miejską, a z drugiej okupując wolne przestrzenie, nie uwzględniając żadnych wyższych...
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On the Fenchel–Moreau conjugate of G-function and the second derivative of the modular in anisotropic Orlicz spaces
PublicationIn this paper, we investigate the properties of the Fenchel–Moreau conjugate of G-function with respect to the coupling function c(x, A) = |A[x]2 |. We provide conditions that guarantee that the conjugate is also a G-function. We also show that if a G-function G is twice differentiable and its second derivative belongs to the Orlicz space generated by the Fenchel–Moreau conjugate of G then the modular generated by G is twice differentiable...
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The Factors Affecting Group Identity of Cluster Structures
PublicationThe paper provides a new approach to cluster analysis, basing on a sociologically rooted concept of identity. The authors state that identity in cluster structures is formed by two main groups of factors – uncontrollable or slightly controllable factors (identity mix) and factors that can be fully controlled by a cluster initiative (corporate identity mix). It means that the cluster coordinator is able to consciously build the...
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Sociology of Space
e-Learning CoursesThe course is aimed at discussing the significance of the city as a topic of sociological analysis. During the seminar students will discuss the relation between sociology, architecture and space. Moreover, the debate will touch on the field of culture and its role in (re)creating and (re)constructing space. Discussions will also be related to the aspect of interactions in time and space. Contemporary dilemmas and challenges in...
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Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces
PublicationIn this paper we introduce a new compactness condition — Property-(C) — for flows in (not necessary locally compact) metric spaces. For such flows a Conley type theory can be developed. For example (regular) index pairs always exist for Property-(C) flows and a Conley index can be defined. An important class of flows satisfying the this compactness condition are LS-flows. We apply E-cohomology to index pairs of LS-flows and obtain...
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Modelling of subarachnoid space width changes in apnoea resulting as a function of blood flow parameters
PublicationDuring apnoea, the pial artery is subjected to two opposite physiological processes: vasoconstriction due to elevated blood pressure and vasorelaxation driven by rising pH in the brain parenchyma. We hypothesized that the pial artery response to apnoea may vary, depending on which process dominate. Apnoea experiments were performed in a group of 19 healthy, non-smoking volunteers (9 men and 10 women). The following parameters...
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Morse decompositions for a non-linear Leslie population model with 2 varying parameters
Open Research DataThis dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper "A database schema for the analysis of global dynamics of multiparameter systems" by Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk, published in SIAM Journal on Applied Dynamical Systems (SIADS),...
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Morse decompositions for a non-linear Leslie population model with 3 varying parameters
Open Research DataThis dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper "A database schema for the analysis of global dynamics of multiparameter systems" by Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk, published in SIAM Journal on Applied Dynamical Systems (SIADS),...
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Modelling of wastewater treatment plant for monitoring and control purposes by state - space wavelet networks
PublicationMost of industrial processes are nonlinear, not stationary, and dynamical with at least few different time scales in their internal dynamics and hardly measured states. A biological wastewater treatment plant falls into this category. The paper considers modelling such processes for monitorning and control purposes by using State - Space Wavelet Neural Networks (SSWN). The modelling method is illustrated based on bioreactors of...
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The effect of interleukin-35 on the integrity, ICAM-1 expression and apoptosis of human aortic smooth muscle cells
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An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds
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Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball
PublicationDla ciągłego odwzorowania f przestrzeni określonej w tytule w siebie, które posiada rzeczywiste wartości własne na drugiej grupie homologii, wyznaczona została minimalna liczba punktów r-periodycznych w klasie wszystkich gładkich odwzorowań homotopijnych z f.
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Heat transfer and pressure drop during flow boiling of refrigerant/oil mixture inside smooth tube
PublicationW pracy przedstawiono wyniki badań współczynnika przejmowania ciepła i spadku ciśnienia podczas wrzenia czystych oraz zaolejonych czynników chłodniczych (R22, R134a, R407C) wrzących w poziomej stalowej rurce.
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The smoothness test for a density function
PublicationThe problem of testing hypothesis that a density function has no more than μ derivatives versus it has more than μ derivatives is considered. For a solution, the L2 norms of wavelet orthogonal projections on some orthogonal ‘‘differences’’ of spaces from a multiresolution analysis is used. For the construction of the smoothness test an asymptotic distribution of a smoothness estimator is used. To analyze that asymptotic distribution,...
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Results and models for Novel high frequency components with non-conventional shape employing smooth geometry deformation of 3D solid with FFD
Open Research DataThe project aims to investigate the possibility of developing and manufacturing novel high frequency devices having non-standard geometries, allowing for improved electromagnetic performance over what is achievable with currently available design tools. The non-conventional geometry will be obtained by employing the free-form shape deformation technique...
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Factors that strengthen and weaken the identity of the cluster structures
PublicationThe main aim of this paper is the application of "identity" to the issues related to "clustering process" and particularly - to the cooperation in the clusters and the cluster initiatives. The authors distinguish these factors that have the greatest influence on the formation and maintenance of identity in mentioned networks of cooperation.