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Wyszukujesz frazę "lattices" wg kryterium: Temat


Tytuł:
Strengthened Stone-Weierstrass type theorem
Autorzy:
Niemiec, P.
Powiązania:
https://bibliotekanauki.pl/articles/254993.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Stone-Weierstrass theorem
function lattices
Opis:
The aim of the paper is to prove that if L is a linear subspace of the space C(K) of all real-valued continuous functions defined on a nonempty compact Hausdorff space K such that min(/ƒ/, 1) ∈ L whenever fnof; ∈ L, then for any nonzero g ∈ L (where L denotes the uniform closure of L in C(K)) and for any sequence (bn) ∞/n=1 of positive numbers satisfying the relation [formula] there exists a sequence [formula] of elements of L such that //ƒn// = bn for each n ≥ 1, g = [formula] and /g/| = [formula]. Also the formula for L is given.
Źródło:
Opuscula Mathematica; 2011, 31, 4; 645-650
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An equational axiomatization of Post Almost Distributive Lattices
Autorzy:
Kakumanu, Naveen
Shum, Kar
Powiązania:
https://bibliotekanauki.pl/articles/728868.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Almost Distributive Lattices (ADL)
P₂-algebras
P₂-Almost Distributive Lattices (P₂-ADL)
Post algebras
Post Almost Distributive Lattices (Post ADL)
Opis:
In this paper, we prove that the class of P₂-Almost Distributive Lattices and Post Almost Distributive Lattices are equationally definable.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2016, 36, 1; 5-13
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lattice-Like Total Perfect Codes
Autorzy:
Araujo, Carlos
Dejter, Italo
Powiązania:
https://bibliotekanauki.pl/articles/30147219.pdf
Data publikacji:
2014-02-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
perfect dominating sets
hypercubes
lattices
Opis:
A contribution is made to the classification of lattice-like total perfect codes in integer lattices $Λ_n$ via pairs ($G, Φ$) formed by abelian groups $G$ and homomorphisms $Φ: Z^n → G$. A conjecture is posed that the cited contribution covers all possible cases. A related conjecture on the unfinished work on open problems on lattice-like perfect dominating sets in $Λ_n$ with induced components that are parallel paths of length > 1 is posed as well.
Źródło:
Discussiones Mathematicae Graph Theory; 2014, 34, 1; 57-74
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Defect solitons supported by kagome photonic lattices in biased photovoltaic-photorefractive crystals
Autorzy:
Hui, J.
Lu, K.
Zhao, C.
Gao, L.
Chen, W.
Powiązania:
https://bibliotekanauki.pl/articles/173797.pdf
Data publikacji:
2018
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
defect solitons
photonic lattices
photorefractive nonlinearity
nonlinear optics
Opis:
We report that defect solitons can be supported by kagome photonic lattices with a defect in biased photovoltaic-photorefractive crystals. For a positive defect, these defect solitons exist only in the semi-infinite bandgap and are stable in the low power region but unstable in the high power region. For a negative defect, these defect solitons exist in both of the semi-infinite bandgaps and the first bandgap. In the semi-infinite bandgap, low-power defect solitons are stable when the negative defect depth is low and unstable when the negative defect depth is high, moderate-power defect solitons are stable when the negative defect depth is high, and high-power defect solitons are unstable for all the negative defect depths. In the first bandgap, defect solitons are stable in all the power regions when the negative defect depth is low. When the negative defect depth is high, defect solitons are stable in the high power region and unstable in the low power region. On the other hand, these defect solitons are those studied previously in kagome photonic lattices with a defect in biased non-photovoltaic-photorefractive crystals when the bulk photovoltaic effect is negligible and those in kagome photonic lattices with a defect in photovoltaic-photorefractive crystals when the external bias field is absent.
Źródło:
Optica Applicata; 2018, 48, 3; 349-359
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
ALGEBRAICZNE ASPEKTY MEREOLOGII NIEEKSTENSJONALNEJ
ALGEBRAIC ASPECTS OF NON-EXTENSIONAL MEREOLOGY
Autorzy:
Obojska, Lidia
Powiązania:
https://bibliotekanauki.pl/articles/488740.pdf
Data publikacji:
2012
Wydawca:
Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
Tematy:
zasada ekstensjonalności
mereologia
kraty
Extensional Principle
mereology
lattices
Opis:
An extensional mereology was subjected to analysis of many authors. It was proved that it corresponds to a Boolean algebra without a null element. A slightly modified version of this model in which the primitive relation of being a part does not fullfill the Extensional Principle, will be called: Non-extensional Mereology. There is no systematic analysis for such a model until now. Some authors present partial descriptions of it. In this work we would like to propose a detailed and systematic analysis of Non-extensional Mereology. We present a minimal set of axioms and show that this model, under certain conditions, corresponds to an implicative lattice.
Mereologia klasyczna, nazywana również˙ mereologia˛ ekstensjonalna˛ została dość szczegółowo przebadana przez wielu autorów. Udowodniono, z˙e jest to model odpowiadający algebrom Boole’a bez zera. Model nieco słabszy, w którym relacja pierwotna bycia częścią nie spełnia zasady ekstensjonalności, może zostać nazwany mereologią nieekstensjonalną. Jak dotychczas nie istnieje systematyczna analiza takiego modelu. Kilka prac przedstawia jedynie pewne jej fragmentaryczne opisy. W niniejszej pracy pra- gniemy zaproponować formalna˛ i kompletna˛ analizę części tej teorii. Wprowadzając minimalny układ aksjomatów wykazujemy, że odpowiada ona algebraicznej strukturze kraty implikatywnej.
Źródło:
Roczniki Filozoficzne; 2012, 60, 1; 105-124
0035-7685
Pojawia się w:
Roczniki Filozoficzne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The structure of atoms (hereditarily indecomposable continua)
Autorzy:
Ball, R.
Hagler, J.
Sternfeld, Yaki
Powiązania:
https://bibliotekanauki.pl/articles/1205357.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
atoms (hereditarily indecomposable continua)
ultrametric spaces
isometries
lattices
lattice isomorphism
Opis:
Let X be an atom (= hereditarily indecomposable continuum). Define a metric ϱ on X by letting $ϱ(x,y) = W(A_{xy})$ where $A_{x,y}$ is the (unique) minimal subcontinuum of X which contains x and y and W is a Whitney map on the set of subcontinua of X with W(X) = 1. We prove that ϱ is an ultrametric and the topology of (X,ϱ) is stronger than the original topology of X. The ϱ-closed balls C(x,r) = {y ∈ X:ϱ ( x,y) ≤ r} coincide with the subcontinua of X. (C(x,r) is the unique subcontinuum of X which contains x and has Whitney value r.) It is proved that for any two (nontrivial) atoms and any Whitney maps on them, the corresponding ultrametric spaces are isometric. This implies in particular that the combinatorial structure of subcontinua is identical in all atoms. The set M(X) of all monotone upper semicontinuous decompositions of X is a lattice when ordered by refinement. It is proved that for two atoms X and Y, M(X) is lattice isomorphic to M(Y) if and only if X is homeomorphic to Y.
Źródło:
Fundamenta Mathematicae; 1998, 156, 3; 261-278
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Four-Valued Logics BD and DM4: Expansions
Autorzy:
Karpenko, Alexander S.
Powiązania:
https://bibliotekanauki.pl/articles/749940.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
Belnap’s four-valued logic
expansions and functional properties
lattices
Opis:
The paper discusses functional properties of some four-valued logics which are the expansions of four-valued Belnap’s logic DM4. At first, we consider the logics with two designated values, and then logics defined by matrices having the same underlying algebra, but with a different choice of designated values, i.e. with one designated value. In the preceding literature both approaches were developed independently. Moreover, we present the lattices of the functional expansions of DM4.
Źródło:
Bulletin of the Section of Logic; 2017, 46, 1/2
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Prime ideal theorem for double Boolean algebras
Autorzy:
Kwuida, Léonard
Powiązania:
https://bibliotekanauki.pl/articles/728830.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
double Boolean algebra
protoconcept algebra
concept algebra
weakly dicomplemented lattices
Opis:
Double Boolean algebras are algebras (D,⊓,⊔,⊲,⊳,⊥,⊤) of type (2,2,1,1,0,0). They have been introduced to capture the equational theory of the algebra of protoconcepts. A filter (resp. an ideal) of a double Boolean algebra D is an upper set F (resp. down set I) closed under ⊓ (resp. ⊔). A filter F is called primary if F ≠ ∅ and for all x ∈ D we have x ∈ F or $x^{⊲} ∈ F$. In this note we prove that if F is a filter and I an ideal such that F ∩ I = ∅ then there is a primary filter G containing F such that G ∩ I = ∅ (i.e. the Prime Ideal Theorem for double Boolean algebras).
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2007, 27, 2; 263-275
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lattice-inadmissible incidence structures
Autorzy:
Machala, Frantisek
Slezák, Vladimír
Powiązania:
https://bibliotekanauki.pl/articles/729105.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
complete lattices
join-independent and meet-independent sets
incidence structures
Opis:
Join-independent and meet-independent sets in complete lattices were defined in [6]. According to [6], to each complete lattice (L,≤) and a cardinal number p one can assign (in a unique way) an incidence structure $J^{p}_{L}$ of independent sets of (L,≤). In this paper some lattice-inadmissible incidence structures are founded, i.e. such incidence structures that are not isomorphic to any incidence structure $J^{p}_{L}$.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 2; 199-209
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On k-cyclic SHn-algebra
Autorzy:
Fernandez, A.
Powiązania:
https://bibliotekanauki.pl/articles/200167.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
de Morgan algebra
Łukasiewicz algebras
Heyting algebra
Lattices and duality
Opis:
In this work we consider a new class of algebra called k-cyclic SHn-algebra (A, T) where A is an SHn-algebra and T is a lattice endomorphism such that Tk(x) = x, for all x, k is a positive integer. The main goal of this paper is to show a Priestley duality theorem for k-cyclic SHn-algebra.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 3; 303-304
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Topological properties of the complex vector lattice of bounded finitely additive mesures
Autorzy:
Nowak, Marian
Powiązania:
https://bibliotekanauki.pl/articles/1912867.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
complex vector lattices
locally solid topologies
spaces of bounded finitely additive measures
Opis:
Let \(\Sigma\) be a \(\sigma\)-algebra of subsets of a non-empty set \(\Omega\). Let \(ba(\Sigma)\) be the complex vector lattice of bounded finitely additive measures \(\mu:\Sigma\rightarrow\mathbb{C}\). We study locally solid topologies on \(ba(\Sigma)\). We develop the duality theory of \(ba(\Sigma)\), provided with locally convex-solid topologies.
Źródło:
Commentationes Mathematicae; 2013, 53, 2; 371-382
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Essential norm estimates for multilinear singular and fractional integrals
Autorzy:
Meskhi, Alexander
Powiązania:
https://bibliotekanauki.pl/articles/1912838.pdf
Data publikacji:
2019
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Multilinear Hilbert and Riesz transforms
multilinear fractional integrals
measure of noncompactness
weighted inequalities
Banach function lattices
Opis:
We derive lower two-weight estimates for the essential norm (measure of noncompactness) for multilinear Hilbert and Riesz transforms, and Riesz potential operators in Banach function lattices. As a corollary we have appropriate results in weighted Lebesgue spaces. From these statements we conclude that there is no \((m+1)\)-tuple of weights \((v,w_1, \dots, w_m)\) for which these operators are compact from \(L^{p_1}_{w_1} \times \dots \times L^{p_m}_{w_m}\) to \(L^q_v\).
Źródło:
Commentationes Mathematicae; 2019, 59, 1-2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some new aspects of the characterization of Miller, Laue and directions indices for centred lattices
Autorzy:
Michalski, Edward
Powiązania:
https://bibliotekanauki.pl/articles/2173707.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Miller indices
Laue indices
direction indices
centred lattices
wskaźniki Millera
wskaźniki Lauego
wskaźniki kierunku
kraty wyśrodkowane
Opis:
A review of the Miller, Laue and direction indices characterization was made. Excluding or allowing non-coprime indices, depending on whether the lattice is primitive or centred, were compared. The solution of the “spacing counting problem for centred lattices was proposed. It was shown that for centred lattices: (1) Laue indices nh nk nl can represent not only n-th order diffraction on (hkl) planes, but also the first order diffraction from a family of planes (nh nk nl); (2) “integral reflection conditions” are necessary, but not sufficient for the existence of given Miller indices. “Integral reflection conditions” for Laue indices hkl and other “conditions for Miller indices” (hkl) were distinguished. It was shown that in the case of centred lattices, the inference based on the value of n obtained from the equation of lattice planes, may not be correct. The homogeneity of the centred reciprocal lattices has been clarified. “Simple cubic cell with a base” as a choice of unit cell proposed by “general rule” was contrasted with: “unit cell, if not centred, must be the smallest one”. “Integral reflection conditions” for Laue indices and other, new “conditions for Miller indices”, resulting from transformation of centred lattices to unconventional primitive ones have been proposed. Examples of the not correct use of indices in the morphology and diffraction pattern descriptions were shown.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2022, 70, 5; art. no. e143109
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Banach envelopes of some quasi-Banach function spaces
Autorzy:
Kamińska, Anna
Kubiak, Damian
Powiązania:
https://bibliotekanauki.pl/articles/1912859.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Banach envelope
Mackey topology
quasi-normed lattices
Cesàro spaces
spaces via sublinear operators
Musielak-Orlicz spaces
Nakano spaces
Opis:
We show that under some assumptions on the Musielak−Orlicz function generating a quasi-Banach Musielak−Orlicz function space, the Banach envelope of the weighted Cesàro−Musielak−Orlicz space generated by a certain positive sublinear operator is a weighted \(L_1\)-space.
Źródło:
Commentationes Mathematicae; 2016, 56, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Knowledge discovery in data using formal concept analysis and random projections
Autorzy:
Aswani Kumar, Ch.
Powiązania:
https://bibliotekanauki.pl/articles/930145.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
redukcja wymiarowości
odkrywanie wiedzy
projekcja losowa
attribute implications
concept lattices
dimensionality reduction
formal concept analysis
knowledge discovery
random projections
Opis:
In this paper our objective is to propose a random projections based formal concept analysis for knowledge discovery in data. We demonstrate the implementation of the proposed method on two real world healthcare datasets. Formal Concept Analysis (FCA) is a mathematical framework that offers a conceptual knowledge representation through hierarchical conceptual structures called concept lattices. However, during the design of a concept lattice, complexity plays a major role.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 745-756
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł

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