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Wyświetlanie 1-13 z 13
Tytuł:
Note on algebraic interior systems
Autorzy:
Chajda, Ivan
Powiązania:
https://bibliotekanauki.pl/articles/729087.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
interior system
algebraic closure system
interior algebraic system
Opis:
We get an interrelation between an algebraic closure system and its conjugated interior system. We introduce the concept of algebraic interior system and we get its representation.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2005, 25, 2; 149-153
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hypersatisfaction of formulas in agebraic systems
Autorzy:
Denecke, Klaus
Phusanga, Dara
Powiązania:
https://bibliotekanauki.pl/articles/728760.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
algebraic system
formula
relational clone
hyperformula
Opis:
In [2] the theory of hyperidentities and solid varieties was extended to algebraic systems and solid model classes of algebraic systems. The disadvantage of this approach is that it needs the concept of a formula system. In this paper we present a different approach which is based on the concept of a relational clone. The main result is a characterization of solid model classes of algebraic systems. The results will be applied to study the properties of the monoid of all hypersubstitutions of an ordered algebra.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2009, 29, 2; 123-151
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spectral integral variation of trees
Autorzy:
Wang, Yi
Fan, Yi-Zheng
Powiązania:
https://bibliotekanauki.pl/articles/743873.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
tree
Laplacian eigenvalues
spectral integral variation
algebraic connectivity
Opis:
In this paper, we determine all trees with the property that adding a particular edge will result in exactly two Laplacian eigenvalues increasing respectively by 1 and the other Laplacian eigenvalues remaining fixed. We also investigate a situation in which the algebraic connectivity is one of the changed eigenvalues.
Źródło:
Discussiones Mathematicae Graph Theory; 2006, 26, 1; 49-58
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some algebraic fixed point theorems for multi-valued mappings with applications
Autorzy:
Dhage, Bupurao
Powiązania:
https://bibliotekanauki.pl/articles/729576.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
ordered space
fixed point theorem and differential inclusion
Opis:
In this paper, some algebraic fixed point theorems for multi-valued discontinuous operators on ordered spaces are proved. These theorems improve the earlier fixed point theorems of Dhage (1988, 1991) Dhage and Regan (2002) and Heikkilä and Hu (1993) under weaker conditions. The main fixed point theorems are applied to the first order discontinuous differential inclusions for proving the existence of the solutions under certain monotonicity condition of multi-functions.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2006, 26, 1; 5-55
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The vector cross product from an algebraic point of view
Autorzy:
Trenkler, Götz
Powiązania:
https://bibliotekanauki.pl/articles/728770.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
vector cross product
generalized inverse
Moore-Penrose inverse
linear equations
Opis:
The usual vector cross product of the three-dimensional Euclidian space is considered from an algebraic point of view. It is shown that many proofs, known from analytical geometry, can be distinctly simplified by using the matrix oriented approach. Moreover, by using the concept of generalized matrix inverse, we are able to facilitate the analysis of equations involving vector cross products.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 1; 67-82
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Orthogonal models: Algebraic structure and explicit estimators for estimable vectors
Autorzy:
Pereira, Artur
Fonseca, Miguel
Mexia, João
Powiązania:
https://bibliotekanauki.pl/articles/729750.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
linear models
mixed models
inference
orthogonal models
UBLUE
Opis:
We study the algebraic structure of orthogonal models thus of mixed models whose variance covariance matrices are all positive semi definite, linear combinations of known pairwise orthogonal projection matrices, POOPM, and whose least square estimators, LSE, of estimable vectors are best linear unbiased estimator, BLUE, whatever the variance components, so they are uniformly BLUE, UBLUE. From the results of the algebraic structure we will get explicit expression for the LSE of these models.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2015, 35, 1-2; 29-44
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Algebraic structureof step nesting designs
Autorzy:
Fernandes, Célia
Ramos, Paulo
Mexia, João
Powiązania:
https://bibliotekanauki.pl/articles/729913.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
commutative Jordan algebras
cartesian product of commutative Jordan algebras
step nesting
variance components
UMVUE
Opis:
Step nesting designs may be very useful since they require fewer observations than the usual balanced nesting models. The number of treatments in balanced nesting design is the product of the number of levels in each factor. This number may be too large. As an alternative, in step nesting designs the number of treatments is the sum of the factor levels. Thus these models lead to a great economy and it is easy to carry out inference. To study the algebraic structure of step nesting designs we introduce the cartesian product of commutative Jordan algebras.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2010, 30, 2; 221-235
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A dominant height growth model for eucalyptus plantations in Portugal
Autorzy:
Mateus, Ayana
Tomé, Margarida
Powiązania:
https://bibliotekanauki.pl/articles/729682.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
algebraic difference equation
dynamic model
dominant height
forest planning
non linear model
Opis:
Eucalyptus globulus Labill is one of the most important economic forest species in Portugal, occupying an area of 875.10³ ha in a total forest area of 3346.10³ ha (Tomé et al., 2007). The main goal of this study is to develop a dominant height growth model for Eucalyptus, applicable throughout the country, representing an improve of the curves that are part of the whole stand model existing in Portugal, the GLOBULUS model (Tomé et al., 2001). The dominant height growth model will be built on a biological function formulated as a difference equation (Algebraic Difference Approach) to an all possible growth intervals data structure. The dynamic model proposed, obtains non biased and efficient estimates for the parameters. Comparing to the already available model, the last has the advantage of expressing the asymptote in weather variables functions, meaning that it is possible to reproduce the eucalyptus growth according to weather changes.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2009, 29, 2; 155-168
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Variational inequalities in noncompact nonconvex regions
Autorzy:
Lin, Ching-Yan
Chu, Liang-Ju
Powiązania:
https://bibliotekanauki.pl/articles/729495.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Nikaidô's coincidence theorem
variational inequality
nearly convex
V₀-Karamardian condition
Saigal condition
acyclic multifunction
algebraic interior
bounding points
Opis:
In this paper, a general existence theorem on the generalized variational inequality problem GVI(T,C,ϕ) is derived by using our new versions of Nikaidô's coincidence theorem, for the case where the region C is noncompact and nonconvex, but merely is a nearly convex set. Equipped with a kind of V₀-Karamardian condition, this general existence theorem contains some existing ones as special cases. Based on a Saigal condition, we also modify the main theorem to obtain another existence theorem on GVI(T,C,ϕ), which generalizes a result of Fang and Peterson.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2003, 23, 1; 5-19
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Algebraic structure for the crossing of balanced and stair nested designs
Autorzy:
Fernandes, Célia
Ramos, Paulo
Mexia, João
Powiązania:
https://bibliotekanauki.pl/articles/729814.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
balanced nested designs
stair nested designs
crossing
commutative Jordan algebras
variance components
inference
Opis:
Stair nesting allows us to work with fewer observations than the most usual form of nesting, the balanced nesting. In the case of stair nesting the amount of information for the different factors is more evenly distributed. This new design leads to greater economy, because we can work with fewer observations. In this work we present the algebraic structure of the cross of balanced nested and stair nested designs, using binary operations on commutative Jordan algebras. This new cross requires fewer observations than the usual cross balanced nested designs and it is easy to carry out inference.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2014, 34, 1-2; 71-88
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fourier-like methods for equations with separable variables
Autorzy:
Przeworska-Rolewicz, Danuta
Powiązania:
https://bibliotekanauki.pl/articles/729392.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
algebraic analysis
commutative algebra with unit
Leibniz condition
logarithmic mapping
antilogarithmic mapping
right invertible operator
sine mapping
cosine mapping
initial value problem
boundary value problem
Fourier method
Opis:
It is well known that a power of a right invertible operator is again right invertible, as well as a polynomial in a right invertible operator under appropriate assumptions. However, a linear combination of right invertible operators (in particular, their sum and/or difference) in general is not right invertible. It will be shown how to solve equations with linear combinations of right invertible operators in commutative algebras using properties of logarithmic and antilogarithmic mappings. The used method is, in a sense, a kind of the variables separation method. We shall obtain also an analogue of the classical Fourier method for partial differential equations. Note that the results concerning the Fourier method are proved under weaker assumptions than these obtained in [6] (cf. also [7, 8, 11]).
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2009, 29, 1; 19-42
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Balancedness and the Least Laplacian Eigenvalue of Some Complex Unit Gain Graphs
Autorzy:
Belardo, Francesco
Brunetti, Maurizio
Reff, Nathan
Powiązania:
https://bibliotekanauki.pl/articles/31540652.pdf
Data publikacji:
2020-05-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
gain graph
Laplacian eigenvalues
balanced graph
algebraic frustration
Opis:
Let \(\mathbb{T}_4 = {±1, ±i}\) be the subgroup of 4-th roots of unity inside \(\mathbb{T}\), the multiplicative group of complex units. A complex unit gain graph \(\Phi\) is a simple graph $Γ = (V(Γ) = {v_1, . . ., v_n}, E(Γ))$ equipped with a map \(\varphi:\overrightarrow{E}(Γ)→\mathbb{T}\) defined on the set of oriented edges such that \(\varphi(v_iv_j) = \varphi(v_jv_i)^{−1}\). The gain graph \(\Phi\) is said to be balanced if for every cycle $C = v_{i_1}v_{i_2} . . . v_{i_k}v_{i_1}$ we have \(\varphi(v_{i_1}v_{i_2})\varphi(v_{i_2}v_{i_3}) . . . \varphi(v_{i_k}v_{i_1}) = 1\). It is known that \(\Phi\) is balanced if and only if the least Laplacian eigenvalue \(\lambda_n(\Phi)\) is 0. Here we show that, if \(\Phi\) is unbalanced and \(\varphi(\Phi) ⊆ \mathbb{T}_4\), the eigenvalue \(\lambda_n(\Phi)\) measures how far is \(\Phi\) from being balanced. More precisely, let \(ν(\Phi)\) (respectively, \(∈(\Phi)\)) be the number of vertices (respectively, edges) to cancel in order to get a balanced gain subgraph. We show that \(\lambda_n(\Phi) ≤ ν(\Phi) ≤ ∈(\Phi)\). We also analyze the case when \(\lambda_n(\Phi) = ν(\Phi)\). In fact, we identify the structural conditions on \(\Phi\) that lead to such equality.
Źródło:
Discussiones Mathematicae Graph Theory; 2020, 40, 2; 417-433
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Autorzy:
Lezama, Oswaldo
Powiązania:
https://bibliotekanauki.pl/articles/38117319.pdf
Data publikacji:
2017-06-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Auslander regularity condition
Cohen-Macaulay rings
strongly noetherian algebras
skew PBW extensions
filtered-graded rings
point modules
Opis:
In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity. Skew PBW extensions include a considerable number of non-commutative rings of polynomial type such that classical PBW extensions, quantum polynomial rings, multiplicative analogue of the Weyl algebra, some Sklyanin algebras, operator algebras, diffusion algebras, quadratic algebras in 3 variables, among many others. Parametrization of the point modules of some examples is also presented.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2017, 37, 1; 45-57
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-13 z 13

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