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Tytuł:
Classification systems and their lattice
Autorzy:
Radeleczki, Sándor
Powiązania:
https://bibliotekanauki.pl/articles/729009.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
concept lattice
CJ-generated complete lattice
atomistic complete lattice
(independent) classification system
classification lattice
box lattice
Opis:
We define and study classification systems in an arbitrary CJ-generated complete lattice L. Introducing a partial order among the classification systems of L, we obtain a complete lattice denoted by Cls(L). By using the elements of the classification systems, another lattice is also constructed: the box lattice B(L) of L. We show that B(L) is an atomistic complete lattice, moreover Cls(L)=Cls(B(L)). If B(L) is a pseudocomplemented lattice, then every classification system of L is independent and Cls(L) is a partition lattice.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2002, 22, 2; 167-181
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On lattice-ordered monoids
Autorzy:
Jasem, Milan
Powiązania:
https://bibliotekanauki.pl/articles/728966.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
lattice-ordered monoid
normal lattice-ordered monoid
dually residuated lattice-ordered semigroup
direct decomposition
polar
Opis:
In the paper lattice-ordered monoids and specially normal lattice-ordered monoids which are a generalization of dually residuated lattice-ordered semigroups are investigated. Normal lattice-ordered monoids are metricless normal lattice-ordered autometrized algebras. It is proved that in any lattice-ordered monoid A, a ∈ A and na ≥ 0 for some positive integer n imply a ≥ 0. A necessary and sufficient condition is found for a lattice-ordered monoid A, such that the set I of all invertible elements of A is a convex subset of A and A¯ ⊆ I, to be the direct product of the lattice-ordered group I and a lattice-ordered semigroup P with the least element 0.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 2; 101-114
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
B-almost distributive fuzzy lattice
Autorzy:
Assaye, Berhanu
Alemneh, Mihret
Tefera, Gerima
Powiązania:
https://bibliotekanauki.pl/articles/749988.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
almost distributive lattice
Heyting almost distributive lattice (HADL)
B-almost distributive lattice
principal ideals of an almost distributive lattice
Opis:
The paper introduces the concept of B-Almost distributive fuzzy lattice (BADFL) in terms of its principal ideal fuzzy lattice. Necessary and sufficient conditions for an ADFL to become a B-ADFL are investigated. We also prove the equivalency of B-algebra and B-fuzzy algebra. In addition, we extend PSADL to PSADFL and prove that B-ADFL implies PSADFL.
Źródło:
Bulletin of the Section of Logic; 2018, 47, 3
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decomposition of Congruence Modular Algebras into Atomic, Atomless Locally Uniform and Anti-Uniform Parts
Autorzy:
Staruch, Bogdan
Staruch, Bożena
Powiązania:
https://bibliotekanauki.pl/articles/749904.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
universal algebra
algebraic lattice
congruence lattice
atomic lattice
modular lattice
uniform lattice
subdirect product
star-product
decomposition of algebra
Opis:
We describe here a special subdirect decomposition of algebras with modular congruence lattice. Such a decomposition (called a star-decomposition) is based on the properties of the congruence lattices of algebras. We consider four properties of lattices: atomic, atomless, locally uniform and anti-uniform. In effect, we describe a star-decomposition of a given algebra with modular congruence lattice into two or three parts associated to these properties.
Źródło:
Bulletin of the Section of Logic; 2016, 45, 3/4
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Distribution of lattice points on hyperbolic surfaces
Autorzy:
Lev, Vsevolod
Powiązania:
https://bibliotekanauki.pl/articles/1391179.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
lattice
hyperbolic surface
Opis:
Let two lattices $Λ', Λ'' ⊂ ℝ^s$ have the same number of points on each hyperbolic surface $|x₁...x_s| = C$. We investigate the case when Λ', Λ'' are sublattices of $ℤ^s$ of the same prime index and show that then Λ' and Λ'' must coincide up to renumbering the coordinate axes and changing their directions.
Źródło:
Acta Arithmetica; 1996, 75, 1; 85-95
0065-1036
Pojawia się w:
Acta Arithmetica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a complete lattice of retracts of a free monoid generated by three elements
Autorzy:
Foryś, W.
Powiązania:
https://bibliotekanauki.pl/articles/255748.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
free monoid
retract
lattice
complete lattice
Opis:
We prove that the family of retracts of a free monoid generated by three elements, partially ordered with respect to the inclusion, is a complete lattice.
Źródło:
Opuscula Mathematica; 2008, 28, 2; 123-127
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Isomorphisms of direct products of lattice-ordered groups
Autorzy:
Jakubík, Ján
Powiązania:
https://bibliotekanauki.pl/articles/728908.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Lattice-ordered group
direct product
Specker lattice-ordered group
orthogonal σ-completeness
Opis:
In this paper we investigate sufficient conditions for the validity of certain implications concerning direct products of lattice-ordered groups.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 1; 43-52
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finite orders and their minimal strict completion lattices
Autorzy:
Bordalo, Gabriela
Monjardet, Bernard
Powiązania:
https://bibliotekanauki.pl/articles/728964.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
atomistic lattice
join-irreducible element
distributive lattice
modular lattice
lower semimodular lattice
Dedekind-MacNeille completion
strict completion
weak order.
Opis:
Whereas the Dedekind-MacNeille completion D(P) of a poset P is the minimal lattice L such that every element of L is a join of elements of P, the minimal strict completion D(P)∗ is the minimal lattice L such that the poset of join-irreducible elements of L is isomorphic to P. (These two completions are the same if every element of P is join-irreducible). In this paper we study lattices which are minimal strict completions of finite orders. Such lattices are in one-to-one correspondence with finite posets. Among other results we show that, for every finite poset P, D(P)∗ is always generated by its doubly-irreducible elements. Furthermore, we characterize the posets P for which D(P)∗ is a lower semimodular lattice and, equivalently, a modular lattice.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 2; 85-100
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quasiorder lattices are five-generated
Autorzy:
Kulin, Júlia
Powiązania:
https://bibliotekanauki.pl/articles/728856.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
quasiorder lattice
preorder lattice
accessible cardinal
Opis:
A quasiorder (relation), also known as a preorder, is a reflexive and transitive relation. The quasiorders on a set A form a complete lattice with respect to set inclusion. Assume that A is a set such that there is no inaccessible cardinal less than or equal to |A|; note that in Kuratowski's model of ZFC, all sets A satisfy this assumption. Generalizing the 1996 result of Ivan Chajda and Gábor Czéedli, also Tamás Dolgos' recent achievement, we prove that in this case the lattice of quasiorders on A is five-generated, as a complete lattice.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2016, 36, 1; 59-70
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On duality of submodule lattices
Autorzy:
Czédli, Gábor
Takách, Géza
Powiązania:
https://bibliotekanauki.pl/articles/728870.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
submodule lattice
lattice identity
duality
Opis:
An elementary proof is given for Hutchinson's duality theorem, which states that if a lattice identity λ holds in all submodule lattices of modules over a ring R with unit element then so does the dual of λ.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 1; 43-49
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Many Faces of Lattice Tolerances
Autorzy:
Grygiel, Joanna
Powiązania:
https://bibliotekanauki.pl/articles/750048.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
lattice
tolerance
congruence
covering system
gluing
Opis:
Our aim is to overview and discuss some of the most popular approaches to the notion of a tolerance relation in algebraic structures with the special emphasis on lattices.
Źródło:
Bulletin of the Section of Logic; 2019, 48, 4
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On ideals of a skew lattice
Autorzy:
Costa, João Pita
Powiązania:
https://bibliotekanauki.pl/articles/728981.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
noncommutative lattice
skew lattice
band of semigroups
ideals
coset structure
Green's relations
skew Boolean algebras
Opis:
Ideals are one of the main topics of interest when it comes to the study of the order structure of an algebra. Due to their nice properties, ideals have an important role both in lattice theory and semigroup theory. Two natural concepts of ideal can be derived, respectively, from the two concepts of order that arise in the context of skew lattices. The correspondence between the ideals of a skew lattice, derived from the preorder, and the ideals of its respective lattice image is clear. Though, skew ideals, derived from the partial order, seem to be closer to the specific nature of skew lattices. In this paper we review ideals in skew lattices and discuss the intersection of this with the study of the coset structure of a skew lattice.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2012, 32, 1; 5-21
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A reduction theorem for ring varieties whose subvariety lattice is distributive
Autorzy:
Volkov, Mikhail
Powiązania:
https://bibliotekanauki.pl/articles/729065.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
variety of rings
subvariety lattice
distributive lattice
torsion-bounded variety
Mal'tsev product
Opis:
We prove a theorem (for arbitrary ring varieties and, in a stronger form, for varieties of associative rings) which basically reduces the problem of a description of varieties with distributive subvariety lattice to the case of algebras over a finite prime field.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2010, 30, 1; 119-132
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some finite groupoids with distributive subgroupoid lattices
Autorzy:
Pióro, Konrad
Powiązania:
https://bibliotekanauki.pl/articles/729063.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
groupoid
subgroupoid lattice
distributive lattice
Opis:
The aim of the paper is to show that if S(G) is distributive, and also G satisfies some additional condition, then the union of any two subgroupoids of G is also a subgroupoid (intuitively, G has to be in some sense a unary algebra).
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2002, 22, 1; 25-31
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Characterization of Birkhoff’s Conditions by Means of Cover-Preserving and Partially Cover-Preserving Sublattices
Autorzy:
Łazarz, Marcin
Powiązania:
https://bibliotekanauki.pl/articles/749906.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
Birkhoff’s conditions
semimodularity conditions
modular lattice
discrete lattices
upper continuous lattice
strongly atomic lattice
cover-preserving sublattice
cell
4-cell lattice
Opis:
In the paper we investigate Birkhoff’s conditions (Bi) and (Bi*). We prove that a discrete lattice L satisfies the condition (Bi) (the condition (Bi*)) if and only if L is a 4-cell lattice not containing a cover-preserving sublattice isomorphic to the lattice S*7 (the lattice S7). As a corollary we obtain a well known result of J. Jakub´ık from [6]. Furthermore, lattices S7 and S*7 are considered as so-called partially cover-preserving sublattices of a given lattice L, S7 ≪ L and S7 ≪ L, in symbols. It is shown that an upper continuous lattice L satisfies (Bi*) if and only if L is a 4-cell lattice such that S7 ≪/ L. The final corollary is a generalization of Jakubík’s theorem for upper continuous and strongly atomic lattices. Keywords: Birkhoff’s conditions, semimodularity conditions, modular lattice, discrete lattices, upper continuous lattice, strongly atomic lattice, cover-preserving sublattice, cell, 4-cell lattice.  
Źródło:
Bulletin of the Section of Logic; 2016, 45, 3/4
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Square Ising Nanowire on the Bethe Lattice
Autorzy:
Albayrak, E.
Powiązania:
https://bibliotekanauki.pl/articles/1032327.pdf
Data publikacji:
2017-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
Bethe lattice
nanowire
phase diagrams
magnetization
tricritical
Opis:
The square-type nanowire is simulated on the Bethe lattice by using the core-shell structure consisting of the Ising spins. A nanoparticle is formed by placing a spin to the center and four others to the corners of a square. Then, each nanoparticle is combined with two neighboring ones with a perfect alignment of the squares to form the nanowire. Only nearest-neighbor spin interactions, either ferromagnetic or antiferromagnetic type, are allowed. The phase diagrams are calculated by studying the thermal variations of magnetizations for various values of bilinear interactions. It is found that the model gives both second- and first-order phase transitions in addition to the tricritical points and compensation temperatures.
Źródło:
Acta Physica Polonica A; 2017, 131, 6; 1470-1473
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Congruences on pseudocomplemented semilattices
Autorzy:
Heleyová, Zuzana
Powiązania:
https://bibliotekanauki.pl/articles/728824.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
pseudocomplemented semilattice
congruence lattice
p-algebra
Stone algebra
(relative) (Lₙ)-lattice
Opis:
It is known that congruence lattices of pseudocomplemented semilattices are pseudocomplemented [4]. Many interesting properties of congruences on pseudocomplemented semilattices were described by Sankappanavar in [4], [5], [6]. Except for other results he described congruence distributive pseudocomplemented semilattices [6] and he characterized pseudocomplemented semilattices whose congruence lattices are Stone, i.e. belong to the variety B₁ [5].
In this paper we give a partial solution to a more general question: Under what condition on a pseudocomplemented semilattice its congruence lattice is element of the variety Bₙ (n ≥ 2)?
In the last section we widen the Sankappanavar's result to obtain the description of pseudocomplemented semilattices with relative Stone congruence lattices. A partial solution of the description of pseudocomplemented semilattices with relative (Lₙ)-congruence lattices (n ≥ 2) is also given.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 2; 219-231
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Distributivity of bounded lattices with sectionally antitone involutions
Autorzy:
Chajda, Ivan
Powiązania:
https://bibliotekanauki.pl/articles/729093.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
sectionally antitone involution
bounded lattice
distributive lattice
MV-algebra
Opis:
We present a simple condition under which a bounded lattice L with sectionally antitone involutions becomes an MV-algebra. In thiscase, L is distributive. However, we get a criterion characterizingdistributivity of L in terms of antitone involutions only.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2005, 25, 2; 155-163
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Congruences and Trajectories in Planar Semimodular Lattices
Autorzy:
Grätzer, G.
Powiązania:
https://bibliotekanauki.pl/articles/52488033.pdf
Data publikacji:
2018-06-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
semimodular lattice
planar lattice
slim lattice
rectangular lattice
congruence
trajectory
prime interval
Opis:
A 1955 result of J. Jakubík states that for the prime intervals \(\mathfrak{p}\) and \(\mathfrak{q}\) of a finite lattice, \(con(\mathfrak{p}) ≥ con(\mathfrak{q})\) iff \(\mathfrak{p}\) is congruence-projective to \(\mathfrak{q}\) (via intervals of arbitrary size). The problem is how to determine whether \(con(\mathfrak{p}) ≥ con(\mathfrak{q})\) involving only prime intervals. Two recent papers approached this problem in different ways. G. Czédli’s used trajectories for slim rectangular lattices-a special subclass of slim, planar, semimodular lattices. I used the concept of prime-projectivity for arbitrary finite lattices. In this note I show how my approach can be used to reprove Czédli’s result and generalize it to arbitrary slim, planar, semimodular lattices.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2018, 38, 1; 131-142
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Irredundant Decomposition of Algebras into One-Dimensional Factors
Autorzy:
Staruch, Bogdan
Powiązania:
https://bibliotekanauki.pl/articles/750002.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
universal algebra
algebraic lattice
congruence lattice
uniform lattice
dimension of algebra
one-dimensional algebra
subdirect product
star-product
decomposition of algebra
Opis:
We introduce a notion of dimension of an algebraic lattice and, treating such a lattice as the congruence lattice of an algebra, we introduce the dimension of an algebra, too. We define a star-product as a special kind of subdirect product. We obtain the star-decomposition of algebras into one-dimensional factors, which generalizes the known decomposition theorems e.g. for Abelian groups, linear spaces, Boolean algebras.
Źródło:
Bulletin of the Section of Logic; 2016, 45, 3/4
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On lattice-ordered groups
Autorzy:
Banaschewski, B.
Powiązania:
https://bibliotekanauki.pl/articles/1382054.pdf
Data publikacji:
1964
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Fundamenta Mathematicae; 1964, 55, 2; 113-122
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Old materials – new capabilities: lattice materials in structural mechanics
Autorzy:
Augustyniak, M.
Powiązania:
https://bibliotekanauki.pl/articles/281102.pdf
Data publikacji:
2018
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
lattice materials
additive layer manufacturing
specific stiffness
topological optimisation
Opis:
Lattice materials (LM) are a novel concept stemming from the combination of crystallography and structural optimisation algorithms. Their practical applications have become real with the advent of versatile additive layer manufacturing (ALM) techniques and the development of dedicated CAD/CAE tools. This work critically reviews one of the major claims concerning LMs, namely their excellent stiffness-to-weight performance. First, a brief literature review of spatially uniform LMs is presented, focusing on specific strength of standard engineering materials as compared with novel structures. An original modelling and optimisation is carried out on a flat panel subject to combined shear and bending load. The calculated generalised specific stiffness is compared against reference values obtained for a uniform panel and the panel subjected to topological optimisation. The monomaterial, a spatially repetitive solution turns out to be poorly suited for stiff, lightweight designs, because of suboptimal material distribution. Spatially non-uniform and locally size-optimised structures perform better. However, its advantage over manufacturable, topologically-optimised conventional designs can at best be marginal (< 10%). Cubic-cell lattices cannot replace conventional bulk materials in the typical engineering use. The multi-cell-type and multi-material lattice structures, albeit beyond the scope of this article, are more promising from the point of view of mechanical properties. The possibility of approaching the linear scaling reported in the recent litterature can make them an attractive option in ultra-low weight designs.
Źródło:
Journal of Theoretical and Applied Mechanics; 2018, 56, 1; 213-226
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wykorzystanie metody lattice-Boltzmann do symulacji mikroprzepływów w kanałach układów lab on a chip
Application of lattice-Boltzmann method in microflow simulation in a lab-on-a-chip microchannels systems
Autorzy:
Szafran, R.
Tomczak, T.
Powiązania:
https://bibliotekanauki.pl/articles/2072151.pdf
Data publikacji:
2013
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
modelowanie matematyczne
mikroprzepływy
lab-on-a-chip
lattice-Boltzmann
DFD
numerical modeling
microflows
lattice Boltzmann
Opis:
W pracy zostały przedstawione wyniki badań doświadczalnych i symulacji komputerowych metodą Lattice-Boltzmann przepływów płynów komórkowych w mikrokanałach układu lab-on-a-chip (LOC). Symulacje LBM przeprowadzono dla geometrii 2D (model 2DQ9), co wpłynęło na skrócenie czasu obliczeń, w istotny sposób zwiększając jednak ich błąd, który wahał się w szerokich granicach od 15 do ponad 100%.
Experimental and computer simulation results using the Lattice-Boltzmann method for fluid flows in microchannels of the lab-on-a-chip (LOC) device are presented in the paper. LBM simulations were performed for 2D geometry (2DQ9 model), allowing the shortening of simulation time but signifi¬cantly increasing the calculation error. The calculation error of fluid mean velocity ranged from 15 to over 100%.
Źródło:
Inżynieria i Aparatura Chemiczna; 2013, 6; 568--569
0368-0827
Pojawia się w:
Inżynieria i Aparatura Chemiczna
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Balanced d-lattices are complemented
Autorzy:
Goldstern, Martin
Ploščica, Miroslav
Powiązania:
https://bibliotekanauki.pl/articles/729051.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
balanced congruence
balanced lattice
d-lattice
prime ideal
maximal ideal
Opis:
We characterize d-lattices as those bounded lattices in which every maximal filter/ideal is prime, and we show that a d-lattice is complemented iff it is balanced iff all prime filters/ideals are maximal.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2002, 22, 1; 33-37
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some characterizations of pseudo-BL-chains
Autorzy:
Walendziak, Andrzej
Wojciechowska-Rysiawa, Magdalena
Powiązania:
https://bibliotekanauki.pl/articles/744864.pdf
Data publikacji:
2011
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Pseudo-BL-algebra (-chain)
Lattice
Join irreducible element
Stone lattice
Opis:
Pseudo-BL-chains are linearly ordered pseudo-BL-algebras. Characterizations of them in terms of concepts of lattice theory are given.
Źródło:
Commentationes Mathematicae; 2011, 51, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On interval decomposition lattices
Autorzy:
Foldes, Stephan
Radeleczki, Sándor
Powiązania:
https://bibliotekanauki.pl/articles/728916.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
interval
closure system
modular decomposition
semimodular lattice
partition lattice
strong set
lexicographic sum
Opis:
Intervals in binary or n-ary relations or other discrete structures generalize the concept of interval in an ordered set. They are defined abstractly as closed sets of a closure system on a set V, satisfying certain axioms. Decompositions are partitions of V whose blocks are intervals, and they form an algebraic semimodular lattice. Lattice-theoretical properties of decompositions are explored, and connections with particular types of intervals are established.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 1; 95-114
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cardinalities of lattices of topologies of unars and some related topics
Autorzy:
Kartashova, Anna
Powiązania:
https://bibliotekanauki.pl/articles/728762.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
unar
lattice of topologies
lattice of congruences
Opis:
In this paper we find cardinalities of lattices of topologies of uncountable unars and show that the lattice of topologies of a unar cannor be countably infinite. It is proved that under some finiteness conditions the lattice of topologies of a unar is finite. Furthermore, the relations between the lattice of topologies of an arbitrary unar and its congruence lattice are established.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 2; 129-137
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spectra of abelian wekly associative lattice groups
Autorzy:
Rachůnek, Jiří
Powiązania:
https://bibliotekanauki.pl/articles/728852.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
weakly associative lattice group
prime ideal
straightening ideal
spectral topology
spectrum
Opis:
The notion of a weakly associative lattice group is a generalization of that of a lattice ordered group in which the identities of associativity of the lattice operations join and meet are replaced by the identities of weak associativity. In the paper, the spectral topologies on the sets of straightening ideals (and on some of their subsets) of abelian weakly associative lattice groups are introduced and studied.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 1; 51-61
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lattice of Borel structures
Autorzy:
Rao, B. V.
Powiązania:
https://bibliotekanauki.pl/articles/727900.pdf
Data publikacji:
1971
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Colloquium Mathematicum; 1971, 23, 2; 213-216
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mixing in a stirred vessel. A parallel implementation with lattice Boltzmann coloured particles model
Autorzy:
Misci, L.
Felici, M.
Powiązania:
https://bibliotekanauki.pl/articles/1964147.pdf
Data publikacji:
2005
Wydawca:
Politechnika Gdańska
Tematy:
lattice Boltzmann
parallel algorithm
Opis:
The main purpose of this paper is to present a new method for the study of single fluid mixing in a stirred vessel. The simulation has been realized with a parallel implementation of the Lattice Boltzmann coloured particles model. The mixing phenomenon is compared with the one derived with a Lagrangian approach.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2005, 9, 4; 449-459
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simulation of two dimensional photonic band gaps
Autorzy:
Dissanayake, S. E.
Wijewardena Gamalath, K. A. I. L.
Powiązania:
https://bibliotekanauki.pl/articles/411904.pdf
Data publikacji:
2014
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Photonic crystal
square lattice
triangular lattice
honeycomb lattice
plane wave expansion
mode field distribution
GaAs
dielectric kontrast
filling fraction
gap maps
Opis:
The plane wave expansion method was implemented in modelling and simulating the band structures of two dimensional photonic crystals with square, triangular and honeycomb lattices with circular, square and hexagonal dielectric rods and air holes. Complete band gaps were obtained for square lattice of square GaAs rods and honeycomb lattice of circular and hexagonal GaAs rods as well as triangular lattice of circular and hexagonal air holes in GaAs whereas square lattice of square or circular air holes in a dielectric medium ε = 18 gave complete band gaps. The variation of these band gaps with dielectric contrast and filling factor gave the largest gaps for all configurations for a filling fraction around 0.1.The gap maps presented indicated that TM gaps are more favoured by dielectric rods while TE gaps are favoured by air holes. The geometrical gap maps operating at telecommunication wavelength λ = 1.55 m showed that a complete band gap can be achieved for triangular lattice with circular and hexagonal air holes in GaAs and for honeycomb lattice of circular GaAs rods.
Źródło:
International Letters of Chemistry, Physics and Astronomy; 2014, 5; 58-88
2299-3843
Pojawia się w:
International Letters of Chemistry, Physics and Astronomy
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The fractal characteristics of lattice media. Part II.
Autorzy:
Marciniak, A.
Fijolek, A.
Kwiecien, S.
Podgorski, J.
Powiązania:
https://bibliotekanauki.pl/articles/24485.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Agrofizyki PAN
Tematy:
fractal analysis
lattice medium
dimension
Źródło:
International Agrophysics; 1996, 10, 4
0236-8722
Pojawia się w:
International Agrophysics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On ring theoretic lattice modules
Autorzy:
Whitman, David
Powiązania:
https://bibliotekanauki.pl/articles/1377716.pdf
Data publikacji:
1971
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Fundamenta Mathematicae; 1971, 70, 3; 221-229
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Study of continuous phase transition with Toom cellular automata
Autorzy:
Makowiec, D.
Powiązania:
https://bibliotekanauki.pl/articles/1941716.pdf
Data publikacji:
2000
Wydawca:
Politechnika Gdańska
Tematy:
equilibrium lattice model
equilibrium lattice systems
critical components
Gibbsian measures
Ising model
Opis:
The heuristic proof, based on computer simulation investigations, is presented that though stationary Toom cellular automata exhibit many features which are characteristic for an equilibrium system (e.g. rapid change in the order parameter, when noise is fine tuned, or slow decay of the two point correlation function), the stationary state is not Gibbsian. It means that it is impossible to define energy on the microscopic level in such a way that the dynamic system becomes representative of some equilibrium lattice model. Moreover, properties on the coarse-grained level: fluctuations, seem to be distinct from the corresponding ones of the Ising model.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2000, 4, 1; 19-31
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The lattice of varieties of fibered automata
Autorzy:
Mućka, Anna
Powiązania:
https://bibliotekanauki.pl/articles/728906.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
fibered automata
many-sorted algebras
varieties of many-sorted algebras
lattice of varieties
Opis:
The class of all fibered automata is a variety of two-sorted algebras. This paper provides a full description of the lattice of varieties of fibred automata.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2007, 27, 1; 87-107
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lattice rotation definition and predicted textures of tensile and compression deformation
Autorzy:
Wroński, M.
Wierzbanowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/352559.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
axisymmetric deformation
texture
lattice rotation
deformation models
Opis:
The problem of ambiguity in the definition of lattice rotation, used in plastic deformation models, is examined in this work. The geometry of tensile and compression deformation is considered. Two approaches to lattice rotation are considered: the classical definition (called also 'mathematical analysis) and the definition based on orientation preservation of specified directions/planes in the sample coordinates system. Similar study was already done by the present authors for the geometry of rolling deformation. It was shown that application of two rotation definitions enables to explain the appearance of two types of f. c. c. rolling textures: brass type and copper type textures. In the case of axisymmetric deformation the application of both definitions of lattice rotation leads to similar textures, but with different spread of their principal components.
Źródło:
Archives of Metallurgy and Materials; 2016, 61, 3; 1529-1536
1733-3490
Pojawia się w:
Archives of Metallurgy and Materials
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the new characteristics of Miller indices for centered lattices
Autorzy:
Michalski, E.
Powiązania:
https://bibliotekanauki.pl/articles/200839.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Miller indices
families of lattice planes
reciprocal lattice
centered lattice
transformations in crystallography
Laue indices of Bragg reflections
integral systematic absences
transformacje
krystalografia
siatka Bragga
Opis:
This work proposes and justifies a clarification of the description of the crystal structure with the use of centered lattices, and concerns also the following: (1) the graphical and analytical criterion for the existence of lattice planes, described by selected Miller indices, (2) the correct way to use the parametric equation of families of planes, (3) “geometric derivation of the integral reflection conditions” and “Laue indices of Bragg peaks versus Miller indices of families of lattice planes”, (4) the characteristics of Miller indices describing nodes of reciprocal lattices for centered direct lattices, (5) the characteristics of Miller indices describing the faces of single crystals and also (6) the characteristics of the information included in Miller indices. Reciprocal lattice nodes associated with families of lattice planes in direct lattices do not form the centered lattices in the reciprocal space themselves. The centered lattices in reciprocal space are created by points with coordinates equal to the Laue indices of Bragg reflections, which are allowed by the integral systematic absences. Parts of them are not associated with any of the direct lattice planes.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 4; 529-538
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Direct decompositions of dually residuated lattice-ordered monoids
Autorzy:
Rachůnek, Jiří
Šalounová, Dana
Powiązania:
https://bibliotekanauki.pl/articles/728920.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
DRl-monoid
lattice-ordered monoid
ideal
normal ideal
polar
direct factor
Opis:
The class of dually residuated lattice ordered monoids (DRl-monoids) contains, in an appropriate signature, all l-groups, Brouwerian algebras, MV- and GMV-algebras, BL- and pseudo BL-algebras, etc. In the paper we study direct products and decompositions of DRl-monoids in general and we characterize ideals of DRl-monoids which are direct factors. The results are then applicable to all above mentioned special classes of DRl-monoids.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 1; 63-74
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cover of Cylinder Lattice Plastic Convert into Fuel
Autorzy:
Sarker, M.
Rashid, M. M.
Powiązania:
https://bibliotekanauki.pl/articles/412122.pdf
Data publikacji:
2013
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
plastic lattice
conversion
fuel
hydrocarbon
waste plastics material
GC-MS
Opis:
Waste plastic of cylinder lattice to liquid fuel production process was performing two step processes. 1st step process was perform muffle furnace with ceramic crucible and 2nd step process was perform glass reactor with condensation unit. Thermal degradation process was performing with furnace and temperature was 410 ?C and reactor temperature was 420 ?C. Muffle furnace was use for solid hard shape of plastic melting purpose and glass reactor was use for liquid slurry to produce vapor purpose. Liquid slurry to produce vapor was condensed and collected liquid fuel and fuel density is 0.75 g/ml. Liquid fuel production conversation rate was 71.05 %. Fuel was analysis by GC/MS and carbon chains obtain C3 to C23 from GC/MS chromatogram. Fuel color is light yellow and fuel is ignited.
Źródło:
International Letters of Chemistry, Physics and Astronomy; 2013, 6; 17-30
2299-3843
Pojawia się w:
International Letters of Chemistry, Physics and Astronomy
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simulations of behaviour of granular bodies using a lattice-gas automaton
Autorzy:
Kozicki, J.
Tejchman, J.
Powiązania:
https://bibliotekanauki.pl/articles/241283.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
collisions
dissipation
granular flow
gravity
lattice-gas automaton
Opis:
A lattice-gas automaton of hydrodynamics was used to calculate the kinematics of non-cohesive granular materials during 3 different complex two-dimensional problems: granular pile, granular flow in a vertical channel and granular flow in a parallel/converging silo. In the model, collisions and dissipation of particles were taken into account. The simulation results were qualitatively compared with experimental results.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2005, 52, 1; 21-37
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
2D Lattice Model for Fracture in Brittle Materials
Autorzy:
Kozicki, J.
Tejchman, J.
Powiązania:
https://bibliotekanauki.pl/articles/241484.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
beam
brittle material
discrete method
fracture
lattice model
size effect
Opis:
The numerical simulations show the potential of a lattice discrete approach to model fracture during brittle materials in different two-dimensional quasi-static processes of loading behaviour. The 2D calculations were carried out for brittle specimens subject to uniaxial compression, uniaxial extension and shear. The effect of the specimen size on the global stress-strain diagram during uniaxial tension was also investigated. The advantages and disadvantages of the model were outlined.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2006, 53, 2; 137-154
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Lattice of $P$-Consequences
Autorzy:
Frankowski, Szymon
Powiązania:
https://bibliotekanauki.pl/articles/1368488.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
Opis:
This paper is devoted to investigation of the lattice properties of p-consequences. Our main goal is to compare the algebraic features of the lattices composed of all $p$-consequences and all consequence operations defined on the same propositional language.
Źródło:
Reports on Mathematical Logic; 2010, 45; 23-35
0137-2904
2084-2589
Pojawia się w:
Reports on Mathematical Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the lattice of additive hereditary properties of finite graphs
Autorzy:
Jakubík, Ján
Powiązania:
https://bibliotekanauki.pl/articles/729033.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Lattice
complete distributivity
finite graph
additive hereditary property
generalized Jordan-Dedekind condition
Opis:
In this paper it is proved that the lattice of additive hereditary properties of finite graphs is completely distributive and that it does not satisfy the Jordan-Dedekind condition for infinite chains.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2002, 22, 1; 73-86
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Prime ideals in the lattice of additive induced-hereditary graph properties
Autorzy:
Berger, Amelie
Mihók, Peter
Powiązania:
https://bibliotekanauki.pl/articles/743387.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
hereditary graph property
prime ideal
distributive lattice
induced subgraphs
Opis:
An additive induced-hereditary property of graphs is any class of finite simple graphs which is closed under isomorphisms, disjoint unions and induced subgraphs. The set of all additive induced-hereditary properties of graphs, partially ordered by set inclusion, forms a completely distributive lattice. We introduce the notion of the join-decomposability number of a property and then we prove that the prime ideals of the lattice of all additive induced-hereditary properties are divided into two groups, determined either by a set of excluded join-irreducible properties or determined by a set of excluded properties with infinite join-decomposability number. We provide non-trivial examples of each type.
Źródło:
Discussiones Mathematicae Graph Theory; 2003, 23, 1; 117-127
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the lattice of tolerances for a finite chain
Autorzy:
Górnicka, A.
Grygiel, J.
Tyrala, I.
Powiązania:
https://bibliotekanauki.pl/articles/121904.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
krata tolerancji
siatka algebraiczna
kongruencja
lattice of tolerance
algebraic grid
congruences
Opis:
We provide some description of the lattice of tolerances for a finite chain, pointing to the skeleton tolerance as a special element of this lattice. In particular, we prove that the lattice of all glued tolerances of an n-element chain is isomorphic to the lattice of all tolerances of an n- 1-element chain nad at the same time is a principal filter of the lattice of an n-element chain.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2016, 21; 25-30
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the yield surface of a typical bending-dominant periodic lattice metamaterial
Autorzy:
Wang, Yongjun
Liu, Jinxing
Powiązania:
https://bibliotekanauki.pl/articles/2200879.pdf
Data publikacji:
2023
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
bending-dominant periodic lattice
BDPL
yield
metamaterial
strain energy equivalence
Opis:
A theoretical method for analyzing the initial yield of a typical bending-dominant peri- odic lattice (BDPL) is established. Based on the principle of strain energy equivalence, the macroscopic effective stiffnesses of lattices are calculated. An empirical formula is employed to consider the contributions of both the axial force and bending moment. The initial yield surface of BDPL can be figured out by comparing the effective stress of each strut to the yield strength of the matrix material. The method is applicable to various BDPLs, which we believe is a helpful extension to the method for lattices comprising axial-tension bars in the literature.
Źródło:
Journal of Theoretical and Applied Mechanics; 2023, 61, 1; 175--187
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The completely distributive lattice of machine invariant sets of infinite words
Autorzy:
Belovs, Aleksandrs
Buls, Jānis
Powiązania:
https://bibliotekanauki.pl/articles/728892.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
mealy machine
machine invariant class
completely distributive lattice
length
width
Opis:
We investigate the lattice of machine invariant classes. This is an infinite completely distributive lattice but it is not a Boolean lattice. The length and width of it is c. We show the subword complexity and the growth function create machine invariant classes.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2007, 27, 1; 109-121
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The lattice of subvarieties of the biregularization of the variety of Boolean algebras
Autorzy:
Płonka, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/729041.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
subdirectly irreducible algebra
lattice of subvarieties
Boolean algebra
biregular identity
Opis:
Let τ: F → N be a type of algebras, where F is a set of fundamental operation symbols and N is the set of all positive integers. An identity φ ≈ ψ is called biregular if it has the same variables in each of it sides and it has the same fundamental operation symbols in each of it sides. For a variety V of type τ we denote by $V_{b}$ the biregularization of V, i.e. the variety of type τ defined by all biregular identities from Id(V).
Let B be the variety of Boolean algebras of type $τ_{b}: {+,·,´} → N$, where $τ_{b}(+) = τ_{b}(·) = 2$ and $τ_{b}(´) = 1$. In this paper we characterize the lattice $ℒ(B_{b})$ of all subvarieties of the biregularization of the variety B.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 2; 255-268
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The influence of low density behaviour of state equation on lattice inverted pair potential for lead
Autorzy:
Laskowski, R.
Chybicki, M.
Powiązania:
https://bibliotekanauki.pl/articles/1954520.pdf
Data publikacji:
1999
Wydawca:
Politechnika Gdańska
Tematy:
lattice inversion technique
pair potential
molecular simulations
Opis:
A pair potential for lead (Pb) is extracted from the ab-initio energy-volume data using the lattice inversion procedure of Carlsson and co-workers [Phil. Mag. 41 (1980), p. 241]. Because of a limited accuracy of the ab-initio techniques, we extrapolate the energy-volume data for low-density systems with suitable analytical tail functions. We discuss the dependence of the molecular dynamics (MD) simulation structural results and the elastic modules on the choice of the cohesive energy tail function. The MD-simulated radial distribution functions (RDFs), obtained for several energy tails, in several temperatures are discussed.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 1999, 3, 3; 303-312
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical investigation of pool nucleate boiling in nanofluid with lattice Boltzmann method
Autorzy:
Rostamzadeh, A.
Jafarpur, K.
Rad, E. G.
Powiązania:
https://bibliotekanauki.pl/articles/949317.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
pool boiling
nanofluid
lattice Boltzmann method
heat transfer
Opis:
Due to significant improvement of thermal performance and other properties of nanofluids, this group of liquids is in high demand. According to the literature, the effect of nanoparticles on boiling heat transfer enhancement or degradation is not the same among different investigations. In the present article, the pseudo-potential multiphase lattice Boltzmann method is used to simulate nucleate pool boiling with two different fluids: a pure liquid and a nanofluid. The current results indicate that the contact angle is the same for both the fluid and nanofluid when the vapor bubble detachment occurs. Also, bubble departure diameter is greater in the base liquid while bubble release frequency is higher in the nanofluid. In brief, the present results demonstrate that using a nanofluid instead of its base fluid will increase the boiling heat transfer coefficient.
Źródło:
Journal of Theoretical and Applied Mechanics; 2016, 54, 3; 811-825
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Insertion and extension theorems for completely distributive lattice valued functions
Autorzy:
Garca, Javier Gutierrez
Kubiak, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/745831.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
lattice, completely distributive, completely join irreducible, \(\vartriangleleft\)-separable, interval topology, insertion, extension
Opis:
Insertion and extension theorems are presented for lattice-valued functions where the lattice is an appropriately based completely distributive lattice endowed with its interval topology.
Źródło:
Commentationes Mathematicae; 2013, 53, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Model of the two well potential for Hg-atoms in the Hg1-xCdxTe alloy lattice
Autorzy:
Polit, J.
Powiązania:
https://bibliotekanauki.pl/articles/200135.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
well potential
Hg-atoms
Hg1-xCdxTe alloy lattice
Opis:
The problem of the additional phonon modes (APM) of the far infrared spectra in the range of 100–115 cm-1 for the Hg1-xCdxTe alloys has been discussed for the last forty years. The model of two well potential of the mercury atoms in the Hg1-xCdxTe lattice is proposed for interpretation of these APM. Analysis was performed for samples of different compositions (0.06 < x < 0.7) and different types (nand p-type) of conductivity.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 3; 331-341
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Investigation on Acoustic Wave Focalization by a Square Lattice Flat Lens
Autorzy:
Alagoz, S.
Powiązania:
https://bibliotekanauki.pl/articles/177219.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
square lattice sonic crystal
wave focusing
plane-wave expansion method
FDTD simulation
Opis:
A sonic crystal consists of a finite-size periodic array of scatters embedded in a background material. One of the fascinating properties of sonic crystals is the focusing phenomenon. In this study, the near field focusing effect of a solid-air 2D sonic crystal lens with a square lattice configuration is investigated in the second frequency band. The band structure and equifrequency contour of the crystal are analyzed to reveal the dispersion of an acoustic wave on the crystal structure. The frequency dependence of the acoustic wave focalization by the sonic crystal flat lens is demonstrated via Finite Difference Time Domain simulation results and experimental measurements.
Źródło:
Archives of Acoustics; 2012, 37, 1; 81-87
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The fractal characteristics of lattice media. Part I.
Autorzy:
Marciniak, A.
Fijolek, A.
Kwiecien, S.
Podgorski, J.
Powiązania:
https://bibliotekanauki.pl/articles/26351.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Agrofizyki PAN
Tematy:
lattice medium
physical property
topological dimension
geometrical property
probability dimension
Źródło:
International Agrophysics; 1996, 10, 4
0236-8722
Pojawia się w:
International Agrophysics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Elastic shakedown limit of a steel lattice girder
Autorzy:
Brzuzy, Aneta
Powiązania:
https://bibliotekanauki.pl/articles/2073385.pdf
Data publikacji:
2021
Wydawca:
Centrum Rzeczoznawstwa Budowlanego Sp. z o.o.
Tematy:
shakedown
lattice girder
load pulse
finite-difference method
wstrząs
dźwigar kratowy
impuls obciążenia
metoda różnic skończonych
Opis:
This paper presents a solution for the problem concerning the behaviour of a steel lattice girder subjected to dynamic load pulses. The theory of shakedown is used in the analysis. It is assumed that such loads cause a non-elastic response which includes dissipation of energy causing deformations and residual forces developed in the structural members of the girder. At a certain intensity of these forces, the girder can react to subsequent load pulses without further dissipation of energy, behaving in the elastic region after shakedown. This condition is referred to as adaptation of the structure to assumed cyclic loading. Elastic shakedown limit is determined through a direct analysis of the girder's dynamic behaviour, i.e. by checking if energy dissipation decreases with loading cycles. This gives the number of load applications after which no further increase of the energy dissipation is observed. The existing permanent deformations persist and residual forces remain in the same state. The analysis takes into account the possibility that compressed members can buckle which may result in non-elastic, longitudinal and transverse vibrations of these members. Non-linear geometry of members is taken into account. Then a perfectly elastic-viscoplastic model of the material is used. The main goal is to determine the state of the non-elastic movements of the girder joints and the residual internal forces developed in the girder members after each load application. The values obtained in this way serve as the basis for describing the next loading cycle. It is possible to use the approach presented in the paper to evaluate the effects of accidental loads. Then it is checked whether a small number of repetitions of accidental load would result in exceeding the serviceability limit state criteria of the maximum permanent deformation or displacement and/or strain amplitudes. If so, the magnitude of accidental load is greater than the elastic shakedown limit. Some examples are given to illustrate the application of the theory of shakedown.
Źródło:
Inżynieria Bezpieczeństwa Obiektów Antropogenicznych; 2021, 4; 12--18
2450-1859
2450-8721
Pojawia się w:
Inżynieria Bezpieczeństwa Obiektów Antropogenicznych
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Particle agglomeration in flow modelled with molecular dynamics coupled to a thermal Lattice Boltzmann code
Autorzy:
Jiménez, J. F. C.
Powiązania:
https://bibliotekanauki.pl/articles/1955294.pdf
Data publikacji:
2013
Wydawca:
Politechnika Gdańska
Tematy:
particle agglomeration
agglomerate structure
lattice Boltzmann method
Langevin kinetics
Opis:
Particle agglomeration can arise naturally (e.g. dust, salt) or as a result of industrial activities and/or combustion processes (e.g. spray drying, particle flame synthesis). The process itself and its mechanisms are important for many applications since the physical properties of the final structures are mainly determined by the composition, number, diameter and geometric arrangement of their constituent primary particles. Thus, knowing and controlling the extent of agglomeration meets a growing interest in environmental and industrial concerns. The objective of the paper is to develop a simulation model of particles suspended in a flowing fluid using MD simulations coupled to a Lattice Boltzmann (LB) solver. These simulations allowed determining the agglomerate transport and deposition rates depending on the flow conditions and agglomerate structure and understanding the relationship between agglomerate characteristics (i.e. growth kinetics and morphology) and their behavior in a flow field. Two systems of 2000 and 1000 particles were simulated at 300 K and 600 K both of them in a known fluid. Simulations using a Langevin thermostat were also performed to compare with the LB thermostat. This allowed quantifying the influence of the fluid flow on the agglomeration process and agglomerate properties. In further applications, this will help to a priori tailor the flow conditions to achieve a desired aggregate morphology. As a result, reasonable aggregate morphologies were achieved. One of the main conclusions is that taking into account the fluid flow (LB solver) the agglomeration process of the particles is notably accelerated in comparison to the Langevin simulations. One of the main implications of this work could be the possibility of using a known fluid to accelerate an aglomeration process given a suitable fluid and to find a desirable configuration of agglomerates. Another conclusion is that the agglomeration process is sensitive to the temperature variation and that the number of particles in the system influences the final configuration of agglomerates in LB simulations.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2013, 17, 3-4; 181--213
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Three dimensional photonic crystals
Autorzy:
Dissanayake, S. E.
Wijewardena Gamalath, K. A. I. L.
Powiązania:
https://bibliotekanauki.pl/articles/1194049.pdf
Data publikacji:
2015
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Fcc lattice and diamond lattice
GaAs
Photonic crystal
dielectric contrast
filling fraction
plane wave expansion
Opis:
The plane wave expansion method was implemented in modelling and simulating the band structures of three dimensional photonic crystals with FCC lattice formed from air spheres drilled in GaAs and diamond lattice formed by GaAs spheres drilled in air. Both these structures lead to a complete band gap not allowing EM waves with the frequency of the band gap to propagate through the crystal in any direction. Diamond lattice photonic crystal has a complete band gap for a wider range of filling fraction than FCC photonic crystal and also it has a wider band gap width.
Źródło:
World Scientific News; 2015, 12; 12-23
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on joins of additive hereditary graph properties
Autorzy:
Drgas-Burchardt, Ewa
Powiązania:
https://bibliotekanauki.pl/articles/743593.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
hereditary property
lattice of additive hereditary graph properties
minimal forbidden subgraph family
join in the lattice
Opis:
Let $L^a$ denote a set of additive hereditary graph properties. It is a known fact that a partially ordered set $(L^a, ⊆ )$ is a complete distributive lattice. We present results when a join of two additive hereditary graph properties in $(L^a, ⊆ )$ has a finite or infinite family of minimal forbidden subgraphs.
Źródło:
Discussiones Mathematicae Graph Theory; 2006, 26, 3; 413-418
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of the Lattice Boltzmann Method to the flow past a sphere
Autorzy:
Kajzer, A.
Pozorski, J.
Powiązania:
https://bibliotekanauki.pl/articles/281895.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
bluff-body flow
Lattice Boltzmann Method
Large Eddy Simulation
GPU computing
Opis:
The results of fully resolved simulations and large eddy simulations of bluff-body flows obtained by means of the Lattice Boltzmann Method (LBM) are reported. A selection of Reynolds numbers has been investigated in unsteady laminar and transient flow regimes. Computed drag coefficients of a cube have been compared with the available data for validation purposes. Then, a more detailed analysis of the flow past a sphere is presented, including also the determination of vortex shedding frequency and the resulting Strouhal numbers. Advantages and drawbacks of the chosen geometry implementation technique, so called “staircase geometry”, are discussed. For the quest of maximum computational effi- ciency, all simulations have been carried out with the use of in-house code executed on GPU.
Źródło:
Journal of Theoretical and Applied Mechanics; 2017, 55, 3; 1091-1099
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Congruence lattices of free lattices in non-distributive varieties
Autorzy:
Ploščica, Miroslav
Tůma, Jiří
Wehrung, Friedrich
Powiązania:
https://bibliotekanauki.pl/articles/966045.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
diamond
congruence splitting lattice
Kuratowski's Theorem
Uniform Refinement Property
congruence lattice
pentagon
Źródło:
Colloquium Mathematicum; 1998, 76, 2; 269-278
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Synchrotron Radiation Application for Lattice Strain Measurements
Autorzy:
Gadalińska, E.
Baczmański, A.
Sołoducha, K.
Powiązania:
https://bibliotekanauki.pl/articles/97973.pdf
Data publikacji:
2014
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Lotnictwa
Tematy:
diffraction
synchrotron radiation
lattice strain
micromechanical properties of duplex steel
in situ tensile test
Opis:
The methods most commonly used for the determination of the elastic lattice deformation and distortion are diffraction methods, which enable to perform measurements of stresses and elastic properties of polycrystalline materials. The main advantages of diffraction methods are associated with their non-destructive character and the possibility to be used for macrostress and microstress analysis of multiphase and anisotropic materials. Diffraction methods enable taking measurements selectively only for a chosen alloy phase. This is very convenient when several phases are present in the sample since measurements of separate diffraction peaks allow the behaviour of each phase to be investigated independently. In this work, a method for analysis of diffraction with synchrotron radiation is described. The methodology is based on the measurements of lattice strains during “in situ” tensile testing for several hkl reflections and for different orientations of the sample with respect to the scattering vector. Some initial results are presented.
Źródło:
Fatigue of Aircraft Structures; 2014, 6; 29-38
2081-7738
2300-7591
Pojawia się w:
Fatigue of Aircraft Structures
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On continuum modelling of the dynamic behaviour of periodic lattice-type plates with a complex structure
Autorzy:
Cielecka, I.
Jędrysiak, J.
Powiązania:
https://bibliotekanauki.pl/articles/282045.pdf
Data publikacji:
2002
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
periodic lattice-type plate
length-scale effect
tolerance averaging
Opis:
A new continuum model for studying the dynamic problems of periodic elastic lattice-type plates of an arbitrary lay-out is proposed. The general line of approach is partly based on the tolerance averaging techniques developed by Woźniak and Wierzbicki (2000) for the termomechanics of composite solids and applied by Cielecka et al. (1998, 2000) to the modelling of dense cellular structures. The proposed model describes the microstructure length-scale effect on the dynamic plate behaviour. The obtained equations are applied to the analysis of wave propagation in a special latticed plate. It is shown that the lenght-scale effect plays an important role and cannot be neglected in the above analysis.
Ciągły model zagadnień dynamicznych periodycznych płyt siatkowych o złożonej strukturze. W pracy zaproponowano nowy ciągły model do analizowania zagadnień dynamicznych sprężystych, periodycznych płyt siatkowych. W przedstawionym podejściu częściowo wykorzystano technikę tolerancyjnego uśredniania, opracowaną przez Woźniaka i Wierzbickiego (2000) dla termomechaniki kompozytów. Podejście to zastosowano w pracach Cieleckiej i in. (1998, 2000) w modelowaniu gęstych struktur komórkowych. Zaproponowany model opisuje wpływ wielkości mikrostruktury na dynamikę płyty siatkowej. Otrzymane równania zastosowano do analizy propagacji fal w pewnym szczególnym przypadku płyty. Pokazano, że efekt skali odgrywa ważną rolę i nie może być pominięty w powyższej analizie.
Źródło:
Journal of Theoretical and Applied Mechanics; 2002, 40, 1; 23-46
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Semi-lattice of Four-valued Literal-paraconsistent-paracomplete Logics
Autorzy:
Tomova, Natalya
Powiązania:
https://bibliotekanauki.pl/articles/1023361.pdf
Data publikacji:
2020-11-13
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
Four-valued logics
paraconsistent logics
paracomplete logics
isomorphisms
literal-paraconsistent-paracomplete logics
semi-lattice of logics
Opis:
In this paper, we consider the class of four-valued literal-paraconsistent-paracomplete logics constructed by combination of isomorphs of classical logic CPC. These logics form a 10-element upper semi-lattice with respect to the functional embeddinig one logic into another. The mechanism of variation of paraconsistency and paracompleteness properties in logics is demonstrated on the example of two four-element lattices included in the upper semi-lattice. Functional properties and sets of tautologies of corresponding literal-paraconsistent-paracomplete matrices are investigated. Among the considered matrices there are the matrix of Puga and da Costa's logic V and the matrix of paranormal logic P1I1, which is the part of a sequence of paranormal matrices proposed by V. Fernández.
Źródło:
Bulletin of the Section of Logic; 2021, 50, 1; 35-53
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Distance coloring of the hexagonal lattice
Autorzy:
Jacko, Peter
Jendrol', Stanislav
Powiązania:
https://bibliotekanauki.pl/articles/744329.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
distance coloring
distant chromatic number
hexagonal lattice of the plane
hexagonal tiling
hexagonal grid
radio channel frequency assignment
Opis:
Motivated by the frequency assignment problem we study the d-distant coloring of the vertices of an infinite plane hexagonal lattice H. Let d be a positive integer. A d-distant coloring of the lattice H is a coloring of the vertices of H such that each pair of vertices distance at most d apart have different colors. The d-distant chromatic number of H, denoted $χ_d(H)$, is the minimum number of colors needed for a d-distant coloring of H. We give the exact value of $χ_d(H)$ for any d odd and estimations for any d even.
Źródło:
Discussiones Mathematicae Graph Theory; 2005, 25, 1-2; 151-166
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On varieties of orgraphs
Autorzy:
Haviar, Alfonz
Monoszová, Gabriela
Powiązania:
https://bibliotekanauki.pl/articles/743478.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
orgraph
variety
lattice
Opis:
In this paper we investigate varieties of orgraphs (that is, oriented graphs) as classes of orgraphs closed under isomorphic images, suborgraph identifications and induced suborgraphs, and we study the lattice of varieties of tournament-free orgraphs.
Źródło:
Discussiones Mathematicae Graph Theory; 2001, 21, 2; 207-221
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-100 z 517

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