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Tytuł:
Influence of an lp –perturbation on Hardy-Sobolev inequality with singularity a curve
Autorzy:
Ijaodoro, Idowu Esther
Thiam, El Hadji Abdoulaye
Powiązania:
https://bibliotekanauki.pl/articles/2050964.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Hardy-Sobolev inequality
positive minimizers
parametrized curve
mass
Green function
Opis:
We consider a bounded domain $\Omega~\text{of}~\mathbb{R}^{N}, N \geq 3, h \text{and} b$ continuous functions on $\Omega$. Let $Gamma$ be a closed curve contained in $\Omega$. We study existence of positive solutions $u \in H_{0}^{1}(\Omega)$ to the perturbed Hardy-Sobolev equation: $$-\Delta{}u + hu + bu^{1+\delta} = \rho_{\Gamma}^{-\sigma} u^{2_{\sigma}^{\star}-1}~\text{in}~\Omega,$$ where $2_{\sigma}^{\star} := \frac{2(N-\sigma)}{N-2}$ is the critical Hardy-Sobolev exponent $\sigma \in [0,2), 0 < \delta < \frac{4}{N-2}$ and $\rho_{\Gamma}$ is the distance function to $\Gamma$. We show that the existence of minimizers does not depend on the local geometry of $\Gamma$ nor on the potential $h$. For $N = 3$, the existence of ground-state solution may depends on the trace of the regular part of the Green function of $-\Delta + h$ and or on $b$. This is due to the perturbative term of order $1 + \delta$.
Źródło:
Opuscula Mathematica; 2021, 41, 2; 187-204
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A characterisation of a continuous curve
Autorzy:
Moore, R.
Powiązania:
https://bibliotekanauki.pl/articles/1385738.pdf
Data publikacji:
1925
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
zbiór spójny
krzywa ciągła
zbiór rozdzielający
topologia
continuum
Opis:
The purpose of this paper is to prove: Théorème: In order that a continuum M should be a continuous curve it is necessary and sufficient that for every two distinct points A and B of M there should exist a subset of M which consists of a finite number of continua and which separates A from B in M. Théorème: In order that a bounded continuum M should be a continuous curve which contains no domain and does not separate the plane it is necessary and sufficient that for every two distinct points A and B which belong to M there should exist a point which separates A from B in M.
Źródło:
Fundamenta Mathematicae; 1925, 7, 1; 302-307
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The parametric Weierstrass integral over a BV curve as a length functional
Autorzy:
Faina, Loris
Powiązania:
https://bibliotekanauki.pl/articles/1218809.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:
The constructive definition of the Weierstrass integral through only one limit process over finite sums is often preferable to the more sophisticated definition of the Serrin integral, especially for approximation purposes. By proving that the Weierstrass integral over a BV curve is a length functional with respect to a suitable metric, we discover a further natural reason for studying the Weierstrass integral. This characterization was conjectured by Menger.
Źródło:
Studia Mathematica; 1998, 127, 1; 9-19
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A singular plane curve
Autorzy:
Knaster, Bronisław
Powiązania:
https://bibliotekanauki.pl/articles/728051.pdf
Data publikacji:
1979
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Colloquium Mathematicum; 1979, 42, 1; 263-271
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The new big picture for linguistics: Complex systems
Autorzy:
Kretzschmar Jr., William A.
Powiązania:
https://bibliotekanauki.pl/articles/2134800.pdf
Data publikacji:
2018-12-01
Wydawca:
Uniwersytet im. Adama Mickiewicza w Poznaniu
Tematy:
complex systems
A-curve
emergence
alternative facts
Big Data
Opis:
In the history of linguistics there have been crucial moments when those of us interestedin language have essentially changed the way we study our subject. We standnow at such a moment. In this presentation I will review the history of linguistics inorder to highlight some past important changes in the field, and then turn to wherewe stand now. Some things that we thought we knew have turned out not to be true,like the systematic, logical nature of languages. Other things that we had not suspected,like a universal underlying emergent pattern for all the features of a language, arenow evident. This emergent pattern is fractal, that is, we can observe the same distributionalpattern in frequency profiles for linguistic variants at every level of scale inour analysis. We also have hints that time, as the persistence of a preference for particularvariants of features, is a much more important part of our language than wehad previously believed. We need to explore the new realities of language as we nowunderstand them, chief among them the idea that patterned variation, not logical system,is the central factor in human speech. In order to account for what we now understand,we need to get used to new methods of study and presentation, and placenew emphasis on different communities and groups of speakers. Because the underlyingpattern of language is fractal, we need to examine the habits of every group ofspeakers at every location for themselves, as opposed to our previous emphasis onoverall grammars. We need to make our studies much more local, as opposed toglobal. We do still want to make grammars and to understand language in globalterms, but such generalizations need to follow from what we can now see as the patternof language as it is actually used.
Źródło:
Yearbook of the Poznań Linguistic Meeting; 2018, 4, 1; 1-20
2449-7525
Pojawia się w:
Yearbook of the Poznań Linguistic Meeting
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Jerk by axes in motion along a space curve
Autorzy:
Tsirlin, M.
Powiązania:
https://bibliotekanauki.pl/articles/279189.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
jerk
motion control
profiler
Opis:
In the paper, a formula for calculation of the jerk of a point moving along a space curve is derived. Such a formula is needed for control of motion to calculate jerks (second derivatives of the velocity) by axes of motion. On the basis of this formula, an expression for the maximum admissible velocity on the space curve to satisfy limitation by the jerk is given as well. Such a requirement also arises in the motion control.
Źródło:
Journal of Theoretical and Applied Mechanics; 2017, 55, 4; 1437-1441
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Functions of bounded variations on compact subsets of \(\mathbb{C}\)
Autorzy:
Gimenez, Jose
Merentes, Nelson
Vivas, Miguel
Powiązania:
https://bibliotekanauki.pl/articles/1912865.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Functions of bounded variation
variation along a curve
composition operator
Opis:
In this paper we introduce the concept of bounded variation for functions defined on compact subsets of the complex plane \(\mathbb{C}\), based on the notion of variation along a curve as defined by Ashton and Doust; We describe in detail the space so generated and show that it can be equipped, in a natural way, with the structure of a Banach algebra. We also present a necessary condition for a composition operator \(C_\varphi\) to act between two such spaces.
Źródło:
Commentationes Mathematicae; 2014, 54, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spatial Justice in South Asia: A ZIPFS Curve Approach
Autorzy:
Dentinho, Tomaz Ponce
Silveira, Paulo
Powiązania:
https://bibliotekanauki.pl/articles/2092122.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Warszawski. Wydział Nauk Politycznych i Studiów Międzynarodowych
Tematy:
Comparative spatial analysis
Regionalism
Local conflicts
Region's management
Regional development
Przestrzenna analiza porównawcza
Regionalizm
Konflikty lokalne
Zarządzanie regionem
Rozwój regionalny
Opis:
Most conflicts are territorial, nurtured by the rents from natural resources and strategic locations. Struggles over land, water and energy, clashes for control of routes, ports and airports; all these are often implicit in the more broadcast confrontations attributed exclusively to inequalities, culture, religion or ideologies. On the other hand, many of these territorial conflicts are internal to each country and, beyond issues related to the spatial allocation of rents from natural resources and control of strategic locations, there are spatial bargains on taxes and public expenditures that can lead to more enduring distrust. The paper assumes the the spatial profile of land, water and energy influences the spatial pattern of population distribution observed in regularities of the Zipf's Curve that relates the Size and Rank of the Cities of Each Country. It aims to demonstrate how regional governance, mirrored in the spatial allocation of governmental taxes and expenditures, plays a crucial role in urban concentration and spatial justice. The paper presents Zipf's Curve estimates for South Asian countries and maps for various countries, the differences between the estimated curve and the population of various cities. The result analysis indicates that the spatial distribution of rents obtained from natural resources and public transferences play a significant role in the spatial distribution of wealth. Summing up, there are reasons to believe that governance influences spatial justice, specifically through the spatial allocation of property rights over natural resources as well as through the spatial distribution of public spending. Moreover regional conflicts are remarkably associated with places and cities that, according to Zipf's Analytical Scheme, are below the level of what would be expected.(original abstract)
Źródło:
Stosunki Międzynarodowe - International Relations; 2018, 54, 2; 103-119
0209-0961
Pojawia się w:
Stosunki Międzynarodowe - International Relations
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Kinematic linkages in the hinged undercarriage of a mobile working machine
Autorzy:
Kuľka, J.
Kopas, M.
Faltinová, E.
Mantič, M.
Bigoš, P.
Powiązania:
https://bibliotekanauki.pl/articles/198110.pdf
Data publikacji:
2016
Wydawca:
Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
Tematy:
travel speed
travel
hinged loader
kinematic linkage
riding a curve
prędkość jazdy
podróż
Opis:
The main purpose of this article is to present a possible description of kinematic characteristics concerning the direction of travel of a selected mobile working machine in motion, namely, a hinged loader. This description is presented in the form of equations, which define the circumferential velocity as well as the angular velocity of the vehicle wheels during a ride involving a curve. In this way, it is also possible to describe a function of the axle differential.
Źródło:
Zeszyty Naukowe. Transport / Politechnika Śląska; 2016, 91; 81-88
0209-3324
2450-1549
Pojawia się w:
Zeszyty Naukowe. Transport / Politechnika Śląska
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
How do mathematics textbooks address students misconceptions? The case of the tangent line
Autorzy:
Pieronkiewicz, Barbara
Powiązania:
https://bibliotekanauki.pl/articles/748928.pdf
Data publikacji:
2019
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
tangent line, common points of a tangent and a curve, misconceptions, textbook analysis.
Opis:
The study presented in this paper is a part of a substantive analysis of different didactical phenomena in relation to several mathematical concepts, conducted at the preparatory stage of a project aimed at investigating substantive and didactical competencies of pre-service teachers of mathematics. What I report here, relates to the exploration of didactical phenomena in relation to the tangent concept. Since school textbooks are the most common resource referred to by students and teachers, they deserve particular attention as one of the potential sources of concept images and mathematics-related beliefs of learners. In this article I present results from the analysis of ve, currently most popular, series of Polish secondary school mathematics textbooks. I attempt to answer the question of how the authors of these textbooks address a misconception known to be held by many students, namely that a line tangent to a curve has only one common point with that curve.
Źródło:
Didactica Mathematicae; 2019, 41
2353-0960
Pojawia się w:
Didactica Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-25 z 260

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