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Wyszukujesz frazę "invariant" wg kryterium: Temat


Tytuł:
Some constructions of Lyapunov function for linear extensions of dynamical systems
Autorzy:
Kulik, V.
Tkocz-Piszczek, E.
Powiązania:
https://bibliotekanauki.pl/articles/255758.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Lyapunov function
invariant manifold
invariant torus
Opis:
In this note we consider some sets of linear extensions of dynamical systems and research regularity by means of the sign-changing Lyapunov function. We examine some constructions of Lyapunov functions for given systems.
Źródło:
Opuscula Mathematica; 2011, 31, 3; 399-409
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Affine invariants of annuli
Autorzy:
Cieślak, Waldemar
Szczygielska, Elzbieta
Powiązania:
https://bibliotekanauki.pl/articles/747043.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Invariant
annulus
Opis:
A family of regular annuli is considered. Affine invariants of annuli are introduced.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2012, 66, 1
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Invariant densities for C¹ maps
Autorzy:
N. Quas, Anthony
Powiązania:
https://bibliotekanauki.pl/articles/1287383.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
cocycle
expanding map
invariant density
absolutely continuous invariant measure
Opis:
We consider the set of $C^1$ expanding maps of the circle which have a unique absolutely continuous invariant probability measure whose density is unbounded, and show that this set is dense in the space of $C^1$ expanding maps with the $C^1$ topology. This is in contrast with results for $C^2$ or $C^{1+ε}$ maps, where the invariant densities can be shown to be continuous.
Źródło:
Studia Mathematica; 1996, 120, 1; 83-88
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Calculation of the Casson-Walker-Lescop invariant from chord diagrams
Autorzy:
Murakami, Hitoshi
Powiązania:
https://bibliotekanauki.pl/articles/1342390.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Vassiliev invariant
chord diagram
Kontsevich integral
Casson-Walker-Lescop invariant
Źródło:
Banach Center Publications; 1998, 42, 1; 243-254
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Blow up, global existence and growth rate estimates in nonlinear parabolic systems
Autorzy:
Rencławowicz, Joanna
Powiązania:
https://bibliotekanauki.pl/articles/965693.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
invariant manifold
reaction-diffusion system
invariant region
global existence
blow up
Opis:
We prove Fujita-type global existence and nonexistence theorems for a system of m equations (m > 1) with different diffusion coefficients, i.e. $u_{it} - d_{i} Δu_{i} = \prod_{k=1}^m u_{k}^{p_k^i}, i=1,...,m, x ∈ ℝ^{N}, t > 0,$ with nonnegative, bounded, continuous initial values and $p_{k}^{i} ≥ 0$, $i,k = 1,...,m$, $d_i > 0$, $i = 1,...,m$. For solutions which blow up at $t = T <≤ ∞$, we derive the following bounds on the blow up rate: $u_i(x,t) ≤ C(T - t)^{-α_{i}}$ with C > 0 and $α_i$ defined in terms of $p_k^i$.
Źródło:
Colloquium Mathematicum; 2000, 86, 1; 43-66
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the generalized Avez method
Autorzy:
Dawidowicz, Antoni
Powiązania:
https://bibliotekanauki.pl/articles/1311967.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Avez measure
invariant measure
Opis:
A generalization of the Avez method of construction of an invariant measure is presented.
Źródło:
Annales Polonici Mathematici; 1992, 57, 3; 209-218
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Avez method and its generalizations
Autorzy:
Dawidowicz, Antoni L.
Powiązania:
https://bibliotekanauki.pl/articles/748344.pdf
Data publikacji:
2007
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Invariant measure, Ergodic properties.
Opis:
W niniejszej pracy przedstawione są twierdzenia dotyczące istnienia miar niezmienniczych ze szczególnym uwzględnieniem metody Aveza, której zastosowania były przedmiotem prac prof. Lasoty.
In this paper the method of construction of invariant measure are presented. Particularly the method of Avez is presented.This method was used by Professor Lasota.
Źródło:
Mathematica Applicanda; 2007, 35, 49/08
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A version of non-Hamiltonian Liouville equation
Autorzy:
Rom, Celina
Powiązania:
https://bibliotekanauki.pl/articles/729554.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Liouville equation
invariant measure
Opis:
In this paper we give a version of the theorem on local integral invariants of systems of ordinary differential equations. We give, as an immediate conclusion of this theorem, a condition which guarantees existence of an invariant measure of local dynamical systems. Results of this type lead to the Liouville equation and have been frequently proved under various assumptions. Our method of the proof is simpler and more direct.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 1; 5-14
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A method of construction of an invariant measure
Autorzy:
Dawidowicz, Antoni
Powiązania:
https://bibliotekanauki.pl/articles/1311965.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
dynamical system
invariant measure
Opis:
A method of construction of an invariant measure on a function space is presented.
Źródło:
Annales Polonici Mathematici; 1992, 57, 3; 205-208
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Shifted model spaces and their orthogonal decompositions
Autorzy:
Câmara, M. Cristina
Kliś-Garlicka, Kamila
Ptak, Marek
Powiązania:
https://bibliotekanauki.pl/articles/29519749.pdf
Data publikacji:
2024
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
model space
Toeplitz operator
Toeplitz kernel
truncated Toeplitz operator
nearly invariant
shift invariant
Opis:
We generalize certain well known orthogonal decompositions of model spaces and obtain similar decompositions for the wider class of shifted model spaces, allowing us to establish conditions for near invariance of the latter with respect to certain operators which include, as a particular case, the backward shift S*. In doing so, we illustrate the usefulness of obtaining appropriate decompositions and, in connection with this, we prove some results on model spaces which are of independent interest. We show moreover how the invariance properties of the kernel of an operator T, with respect to another operator, follow from certain commutation relations between the two operators involved.
Źródło:
Opuscula Mathematica; 2024, 44, 3; 341-357
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stable invariant subspaces for operators on Hilbert space
Autorzy:
Conway, John
Hadwin, Don
Powiązania:
https://bibliotekanauki.pl/articles/1294737.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
invariant subspace
stability
normal operators
Opis:
If T is a bounded operator on a separable complex Hilbert space ℋ, an invariant subspace ℳ for T is stable provided that whenever ${T_n}$ is a sequence of operators such that $‖T_n - T‖ → 0$, there is a sequence of subspaces ${ℳ_n}$, with $ℳ_n$ in $Lat T_n$ for all n, such that $P_{ℳ_n} → P_{ℳ}$ in the strong operator topology. If the projections converge in norm, ℳ is called a norm stable invariant subspace. This paper characterizes the stable invariant subspaces of the unilateral shift of finite multiplicity and normal operators. It also shows that in these cases the stable invariant subspaces are the strong closure of the norm stable invariant subspaces.
Źródło:
Annales Polonici Mathematici; 1997, 66, 1; 49-61
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On operator bands
Autorzy:
Drnovšek, Roman
Livshits, Leo
MacDonald, Gordon W.
Mathes, Ben
Radjavi, Heydar
Šemrl, Peter
Powiązania:
https://bibliotekanauki.pl/articles/1206129.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
invariant subspaces
idempotents
operator semigroups
Opis:
A multiplicative semigroup of idempotent operators is called an operator band. We prove that for each K>1 there exists an irreducible operator band on the Hilbert space $l^2$ which is norm-bounded by K. This implies that there exists an irreducible operator band on a Banach space such that each member has operator norm equal to 1. Given a positive integer r, we introduce a notion of weak r-transitivity of a set of bounded operators on a Banach space. We construct an operator band on $l^2$ that is weakly r-transitive and is not weakly (r+1)-transitive. We also study operator bands S satisfying a polynomial identity p(A, B) = 0 for all non-zero A,B ∈ S, where p is a given polynomial in two non-commuting variables. It turns out that the polynomial $p(A, B) = (A B - B A)^2$ has a special role in these considerations.
Źródło:
Studia Mathematica; 2000, 139, 1; 91-100
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On extendability of invariant distributions
Autorzy:
Ziemian, Bogdan
Powiązania:
https://bibliotekanauki.pl/articles/1207929.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hausdorff partition
foliation
invariant distribution
Opis:
In this paper sufficient conditions are given in order that every distribution invariant under a Lie group extend from the set of orbits of maximal dimension to the whole of the space. It is shown that these conditions are satisfied for the n-point action of the pure Lorentz group and for a standard action of the Lorentz group of arbitrary signature.
Źródło:
Annales Polonici Mathematici; 2000, 74, 1; 13-25
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Strictly singular operators and the invariant subspace problem
Autorzy:
Read, C.
Powiązania:
https://bibliotekanauki.pl/articles/1217278.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
operator
invariant subspace
strictly singular
Opis:
Properties of strictly singular operators have recently become of topical interest because the work of Gowers and Maurey in [GM1] and [GM2] gives (among many other brilliant and surprising results, such as those in [G1] and [G2]) Banach spaces on which every continuous operator is of form λ I + S, where S is strictly singular. So if strictly singular operators had invariant subspaces, such spaces would have the property that all operators on them had invariant subspaces. However, in this paper we exhibit examples of strictly singular operators without nontrivial closed invariant subspaces. So, though it may be true that operators on the spaces of Gowers and Maurey have invariant subspaces, yet this cannot be because of a general result about strictly singular operators. The general assertion about strictly singular operators is false.
Źródło:
Studia Mathematica; 1999, 132, 3; 203-226
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An irreducible semigroup of idempotents
Autorzy:
Drnovšek, Roman
Powiązania:
https://bibliotekanauki.pl/articles/1219585.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
invariant subspaces
idempotents
operator semigroups
Opis:
We construct a semigroup of bounded idempotents with no nontrivial invariant closed subspace. This answers a question which was open for some time.
Źródło:
Studia Mathematica; 1997, 125, 1; 97-99
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A note on invariant measures
Autorzy:
Niemiec, P.
Powiązania:
https://bibliotekanauki.pl/articles/255767.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
invariant measures
equicontinuous semigroups
compact spaces
Opis:
The aim of the paper is to show that if F is a family of continuous transformations of a nonempty compact Hausdorff space Ω, then there is no F-invariant probabilistic regular Borel measures on Ω iff there are φ1..., φp ∈ F (for some p ≥ 2) and a continuous function u: Ω, p ? R such that Σ σ ∈Spu(x&sigma(1),...,x&sigmap = 0 and lim infn?∞1/n Σ n-1/k=0 (u o Φk)9x1,...xp) ≥ 1 for each x1,...xp ∈ Ω, where Φ: Ωp ∋ (x1,...xp) ? (φ1(x1,..., φp(xp)∈ Ωp and Φk is the k-th iterate of Φ. A modified version of this result in case the family F generates an equicontinuous semigroup is proved.
Źródło:
Opuscula Mathematica; 2011, 31, 3; 425-431
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Versal deformations of $D_q$-invariant 2-parameter families of planar vector fields
Autorzy:
Świrszcz, Grzegorz
Powiązania:
https://bibliotekanauki.pl/articles/1311417.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
versal family
bifurcation
$D_q$-invariant
Opis:
The paper deals with 2-parameter families of planar vector fields which are invariant under the group $D_q$ for q ≥ 3. The germs at z = 0 of such families are studied and versal families are found. We also give the phase portraits of the versal families.
Źródło:
Annales Polonici Mathematici; 1995, 62, 3; 265-281
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a nonstandard approach to invariant measures for Markov operators
Autorzy:
Wiśnicki, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/747282.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Markov operator
invariant measure
nonstandard analysis
Opis:
We show the existence of invariant measures for Markov-Feller operators defined on completely regular topological spaces which satisfy the classical positivity condition.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2010, 54, 2
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sign-changing Lyapunov functions in regularity of linear extensions of dynamical systems on a torus
Autorzy:
Tkocz-Piszczek, E.
Powiązania:
https://bibliotekanauki.pl/articles/255119.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
invariant torus
Green's function of a problem of invariant toruses
regularity of linear extensions of dynamical systems
Opis:
In this paper we consider some sign-changing Lyapunov function in research on regularity of sets of linear extensions of dynamical systems on a torus.
Źródło:
Opuscula Mathematica; 2008, 28, 1; 93-101
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Complex Unconditional Metric Approximation Property for $C_{Λ}(\mathbb{T})$ spaces
Autorzy:
Li, Daniel
Powiązania:
https://bibliotekanauki.pl/articles/1220918.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Unconditional Metric Approximation Property
translation invariant spaces of continuous functions
Rosenthal set
Riesz set
linear invariant lifting
Opis:
We study the Complex Unconditional Metric Approximation Property for translation invariant spaces $C_{Λ}(\mathbb{T})$ of continuous functions on the circle group. We show that although some "tiny" (Sidon) sets do not have this property, there are "big" sets Λ for which $C_{Λ}(\mathbb{T})$ has (ℂ-UMAP); though these sets are such that $L_{Λ}^{∞}(\mathbb{T})$ contains functions which are not continuous, we show that there is a linear invariant lifting from these $L_{Λ}^{∞}(\mathbb{T})$ spaces into the Baire class 1 functions.
Źródło:
Studia Mathematica; 1996, 121, 3; 231-247
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic Properties of Stochastic Semilinear Equations by the Method of Lower Measures
Autorzy:
Maslowski, B.
Simão, I.
Powiązania:
https://bibliotekanauki.pl/articles/966652.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
invariant measures
mixing
stochastic semilinear equations
ergodicity
Źródło:
Colloquium Mathematicum; 1997, 72, 1; 147-171
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Continuous subadditive processes and formulae for Lyapunov characteristic exponents
Autorzy:
Słomczyński, Wojciech
Powiązania:
https://bibliotekanauki.pl/articles/1311504.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Lyapunov exponents
subadditive processes
invariant measures
cocycles
Opis:
Asymptotic properties of various semidynamical systems can be examined by means of continuous subadditive processes. To investigate such processes we consider different types of exponents: characteristic, central, singular and global exponents and we study their properties. We derive formulae for central and singular exponents and show that they provide upper bounds for characteristic exponents. The concept of conjugate processes introduced in this paper allows us to find lower bounds for characteristic exponents. We also give applications to continuous cocycles.
Źródło:
Annales Polonici Mathematici; 1995, 61, 2; 101-134
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The semantical hyperunification problem
Autorzy:
Denecke, Klaus
Koppitz, Jörg
Wismath, Shelly
Powiązania:
https://bibliotekanauki.pl/articles/728730.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
hypersubstitution
fully invariant congruence relation
hyperunification problem
Opis:
A hypersubstitution of a fixed type τ maps n-ary operation symbols of the type to n-ary terms of the type. Such a mapping induces a unique mapping defined on the set of all terms of type t. The kernel of this induced mapping is called the kernel of the hypersubstitution, and it is a fully invariant congruence relation on the (absolutely free) term algebra $F_{τ}(X)$ of the considered type ([2]). If V is a variety of type τ, we consider the composition of the natural homomorphism with the mapping induced by a hypersubstitution. The kernel of this mapping is called the semantical kernel of the hypersubstitution with respect to the given variety. If the pair (s,t) of terms belongs to the semantical kernel of a hypersubstitution, then this hypersubstitution equalizes s and t with respect to the variety. Generalizing the concept of a unifier, we define a semantical hyperunifier for a pair of terms with respect to a variety. The problem of finding a semantical hyperunifier with respect to a given variety for any two terms is then called the semantical hyperunification problem.
We prove that the semantical kernel of a hypersubstitution is a fully invariant congruence relation on the absolutely free algebra of the given type. Using this kernel, we define three relations between sets of hypersubstitutions and sets of varieties and introduce the Galois correspondences induced by these relations. Then we apply these general concepts to varieties of semigroups.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 2; 175-200
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C
Autorzy:
Gil', Michael
Powiązania:
https://bibliotekanauki.pl/articles/729497.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
matrix equations
norm estimates
perturbations
invariant subspaces
Opis:
Let A, B and C be matrices. We consider the matrix equations Y-AYB=C and AX-XB=C. Sharp norm estimates for solutions of these equations are derived. By these estimates a bound for the distance between invariant subspaces of matrices is obtained.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 2; 191-206
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Invariant measures for iterated function systems
Autorzy:
Szarek, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/1207928.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Markov operator
invariant measure
iterated function system
Opis:
A new criterion for the existence of an invariant distribution for Markov operators is presented. Moreover, it is also shown that the unique invariant distribution of an iterated function system is singular with respect to the Hausdorff measure.
Źródło:
Annales Polonici Mathematici; 2000, 75, 1; 87-98
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Alla ricerca dell’invariante semantica della preposizione da: un’analisi cognitiva del contesto predicativo
Autorzy:
Kwapisz-Osadnik, Katarzyna
Powiązania:
https://bibliotekanauki.pl/articles/2083473.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Italian preposition da
semantic invariant
conceptualization
experience
predicate
Opis:
In search of the invariant semantics of the preposition “da”: a cognitive analysis of the predicative context – The purpose of this article is to verify whether the semantic invariant of the preposition da [starting point allowing physical or mental movement] in the nominal context remains valid in the context of the verb. The analysis of the content of predicates that link to the preposition da will help to answer the question of the extent to which the choice of a preposition is determined by the knowledge of the experienced activities and/or the predicate itself (its selective features) or if it is the result of convention.
Źródło:
Kwartalnik Neofilologiczny; 2019, 2; 378-384
0023-5911
Pojawia się w:
Kwartalnik Neofilologiczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
More topological cardinal inequalities
Autorzy:
Alas, O.
Powiązania:
https://bibliotekanauki.pl/articles/967348.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
topological cardinal invariant
cardinal inequality
weak Lindelöf degree
Opis:
A new topological cardinal invariant is defined; it may be considered as a weaker form of the Lindelöf degree.
Źródło:
Colloquium Mathematicum; 1993, 65, 2; 165-168
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Invariant, decoupling and blocking zeros of fractional linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/387469.pdf
Data publikacji:
2018
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
fractional linear system
invariant
decoupling zero
blocking zero
Opis:
The notions of invariant, decoupling and blocking zeros are extended to the fractional linear systems. It is shown that: 1) The zeros are closely connected with the controllability and observability of the linear systems and their transfer functions matrices. 2) The state vector of the fractional system for any input and zero initial conditions is independent of the input decoupling zeros of the system. 3) The output of the fractional system for any input and zero initial conditions is independent of the input-output decoupling zeros of the system.
Źródło:
Acta Mechanica et Automatica; 2018, 12, 1; 44-48
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group
Autorzy:
Thai, Do
Hoang, Dinh
Powiązania:
https://bibliotekanauki.pl/articles/1294150.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
complex Lie group
linear topological invariant
right inverse
Opis:
We show that the restriction operator of the space of holomorphic functions on a complex Lie group to an analytic subset V has a continuous linear right inverse if it is surjective and if V is a finite branched cover over a connected closed subgroup Γ of G. Moreover, we show that if Γ and G are complex Lie groups and V ⊂ Γ × G is an analytic set such that the canonical projection $π_1 : V → Γ$ is finite and proper, then $R_V : O(Γ × G) → Im R_V ⊂ O(V)$ has a right inverse
Źródło:
Annales Polonici Mathematici; 1999, 71, 2; 105
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dominated ergodic theorems in rearrangement invariant spaces
Autorzy:
Braverman, Michael
Rubshtein, Ben-Zion
Veksler, Alexander
Powiązania:
https://bibliotekanauki.pl/articles/1218582.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
rearrangement invariant space
ergodic theorem
Hardy-Littlewood property
Opis:
We study conditions under which Dominated Ergodic Theorems hold in rearrangement invariant spaces. Consequences for Orlicz and Lorentz spaces are given. In particular, our results generalize the classical theorems for the spaces $L_p$ and the classes $L log^nL$.
Źródło:
Studia Mathematica; 1998, 128, 2; 145-157
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Remarks on damped Schrodinger equation of Choquard type
Autorzy:
Chergui, Lassaad
Powiązania:
https://bibliotekanauki.pl/articles/2050906.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
damped Choquard equation
global existence
scattering
invariant sets
Opis:
This paper is devoted to the Schrodinger-Choquard equation with linear damping. Global existence and scattering are proved depending on the size of the damping coefficient.
Źródło:
Opuscula Mathematica; 2021, 41, 4; 465-488
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On continuous time version of two-phase cell cycle model of Tyrcha
Autorzy:
Zwoleński, Paweł
Powiązania:
https://bibliotekanauki.pl/articles/748777.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
cell cycle
transport equations
invariant density
Markov operators
Opis:
We consider a model of two-phase cell cycle in a maturity-structured cellular population, which consists of a system of first order linear partial differential equations (transport equations). The model is based on similar biological assumptions as models of Lasota-Mackey, Tyson-Hannsgen and Tyrcha. We examine behavior of the solutions of the system along characteristics, give conditions for existence of invariant density, and compare results with outcomes of generational model.
Źródło:
Mathematica Applicanda; 2013, 41, 1
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An equivalent matrix pencil for bivariate polynomial matrices
Autorzy:
Boudellioua, M. S.
Powiązania:
https://bibliotekanauki.pl/articles/908429.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
macierz
układ singularny
teoria niezmienniczości
zera niezmienne
matrix pencils
2-D singular systems
zero-coprime-equivalence
invariant polynomials
invariant zeros
Opis:
In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini’s type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 2; 175-181
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Equivalence of control systems on the Euclidean group SE (2)
Autorzy:
Adams, R. M.
Biggs, R.
Remsing, C. C.
Powiązania:
https://bibliotekanauki.pl/articles/205696.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Left-invariant control system
state space equivalence
Euclidean group
Opis:
We classify, under (local) state space equivalence, all full-rank left-invariant control affne systems evolving on the Euclidean group SE(2).
Źródło:
Control and Cybernetics; 2012, 41, 3; 513-524
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Distortion inequality for the Frobenius-Perron operator and some of its consequences in ergodic theory of Markov maps in $ℝ^d$
Autorzy:
Bugiel, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/1294475.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
invariant measure
Frobenius-Perron operator
expanding map
distortion inequality
Opis:
Asymptotic properties of the sequences (a) ${P^j_φ g}_{j=1}^{∞}$ and (b) ${j^{-1} ∑_{i=0}^{j-1} Pⁱ_φ g}_{j=1}^{∞}$, where $P_φ:L¹ → L¹$ is the Frobenius-Perron operator associated with a nonsingular Markov map defined on a σ-finite measure space, are studied for g ∈ G = {f ∈ L¹: f ≥ 0 and ⃦f ⃦ = 1}. An operator-theoretic analogue of Rényi's Condition is introduced. It is proved that under some additional assumptions this condition implies the L¹-convergence of the sequences (a) and (b) to a unique g₀ ∈ G. The general result is applied to some smooth Markov maps in $ℝ^d$. Also the Bernoulli property is proved for a class of smooth Markov maps in $ℝ^d$.
Źródło:
Annales Polonici Mathematici; 1998, 68, 2; 125-157
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ergodic properties of skew products withfibre maps of Lasota-Yorke type
Autorzy:
Kowalski, Zbigniew
Powiązania:
https://bibliotekanauki.pl/articles/1340595.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Frobenius-Perron operator
invariant measure
motion of cogged bits
Opis:
We consider the skew product transformation T(x,y)= (f(x), $T_{e(x)}$) where f is an endomorphism of a Lebesgue space (X,A,p), e : X → S and ${T_s}_{s \in S}$ is a family of Lasota-Yorke type maps of the unit interval into itself. We obtain conditions under which the ergodic properties of f imply the same properties for T. Consequently, we get the asymptotical stability of random perturbations of a single Lasota-Yorke type map. We apply this to some probabilistic model of the motion of cogged bits in the rotary drilling of hard rock with high rotational speed.
Źródło:
Applicationes Mathematicae; 1993-1995, 22, 2; 155-163
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On measure-preserving transformations and doubly stationary symmetric stable processes
Autorzy:
Gross, A.
Weron, A.
Powiązania:
https://bibliotekanauki.pl/articles/1289127.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
invariant measures
nonsingular transformations
regular set isomorphisms
double stationarity
Opis:
In a 1987 paper, Cambanis, Hardin and Weron defined doubly stationary stable processes as those stable processes which have a spectral representation which is itself stationary, and they gave an example of a stationary symmetric stable process which they claimed was not doubly stationary. Here we show that their process actually had a moving average representation, and hence was doubly stationary. We also characterize doubly stationary processes in terms of measure-preserving regular set isomorphisms and the existence of σ-finite invariant measures. One consequence of the characterization is that all harmonizable symmetric stable processes are doubly stationary. Another consequence is that there exist stationary symmetric stable processes which are not doubly stationary.
Źródło:
Studia Mathematica; 1995, 114, 3; 275-287
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Injective hyperbolicity of domains
Autorzy:
Overholt, Marius
Powiązania:
https://bibliotekanauki.pl/articles/1311489.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
invariant metric
Kobayashi-Royden metric
Hahn metric
S-metric
Opis:
The pseudometric of Hahn is identical to the Kobayashi-Royden pseudometric on domains of dimension greater than two. Thus injective hyperbolicity coincides with ordinary hyperbolicity in this case.
Źródło:
Annales Polonici Mathematici; 1995, 62, 1; 79-82
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some generalized invariant means and their application to the stability of the Hyers-Ulam type
Autorzy:
Badora, Roman
Powiązania:
https://bibliotekanauki.pl/articles/1311835.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hyers-Ulam stability theorem
invariant mean
binary intersection property
Opis:
We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.
Źródło:
Annales Polonici Mathematici; 1993, 58, 2; 147-159
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Almost 1-1 extensions of Furstenberg-Weiss type and applications to Toeplitz flows
Autorzy:
Downarowicz, T.
Lacroix, Y.
Powiązania:
https://bibliotekanauki.pl/articles/1218333.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
almost 1-1 extension
invariant measure
isomorphism
Toeplitz flow
Opis:
Let $(Z,T_Z)$ be a minimal non-periodic flow which is either symbolic or strictly ergodic. Any topological extension of $(Z,T_Z)$ is Borel isomorphic to an almost 1-1 extension of $(Z,T_Z)$. Moreover, this isomorphism preserves the affine-topological structure of the invariant measures. The above extends a theorem of Furstenberg-Weiss (1989). As an application we prove that any measure-preserving transformation which admits infinitely many rational eigenvalues is measure-theoretically isomorphic to a strictly ergodic toeplitz flow.
Źródło:
Studia Mathematica; 1998, 130, 2; 149-170
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relationships Between Two Definitions of Fading Memory for Discrete-Time Systems
Autorzy:
Borys, A.
Powiązania:
https://bibliotekanauki.pl/articles/226448.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
discrete-time systems
time-invariant operators
fading memory property
Opis:
In this paper, we refer to two definitions of fading memory property, which were published in the literature, for discrete-time circuits and systems. One of these definitions relates to systems working with signals (sequences) defined for both the positive and negative integers, expanding from minus infinity to plus infinity. On the other hand, the second one refers to systems processing sequences defined only for nonnegative integers, that is starting at the discrete-time point equal to zero and expanding to plus infinity. We show here that the second definition follows from the first one. That is they are not independent. Moreover, we also show that if an operator describing a system possesses a fading memory according to the second definition, then its associated operator has this property, too, but in accordance with the first definition.
Źródło:
International Journal of Electronics and Telecommunications; 2015, 61, 4; Bibliogr. 8 poz.
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Monodromy invariant Hermitian forms for second order Fuchsian differential equations with four singularities
Autorzy:
Adachi, Shunya
Powiązania:
https://bibliotekanauki.pl/articles/2216189.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Fuchsian differential equations
monodromy representation
monodromy invariant Hermitian form
Opis:
We study the monodromy invariant Hermitian forms for second order Fuchsian differential equations with four singularities. The moduli space of our monodromy representations can be realized by certain affine cubic surface. In this paper we characterize the irreducible monodromies having the non-degenerate invariant Hermitian forms in terms of that cubic surface. The explicit forms of invariant Hermitian forms are also given. Our result may bring a new insight into the study of the Painlevé differential equations.
Źródło:
Opuscula Mathematica; 2022, 42, 3; 361-391
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Orbital angular momentum due to modes interference
Autorzy:
Rondón Ojeda, Irving
Soto-Eguibar, Francisco
Powiązania:
https://bibliotekanauki.pl/articles/1835754.pdf
Data publikacji:
2021
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
invariant beam
orbital angular momentum
mode interference
scalar potential
Opis:
We present generalized expressions to calculate the orbital angular momentum for invariant beams using scalars potentials. The solutions can be separated into transversal electric TE, transversal magnetic TM and transversal electromagnetic TE/TM polarization modes. We show that the superposition of non-paraxial vectorial beams with axial symmetry can provide a well-defined orbital angular momentum and that the modes superposition affects the angular momentum flux density. The results are illustrated and analyzed for Bessel beams.
Źródło:
Optica Applicata; 2021, 51, 1; 59-74
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Density of periodic orbit measures for transformations on the interval with two monotonic pieces
Autorzy:
Hofbauer, Franz
Raith, Peter
Powiązania:
https://bibliotekanauki.pl/articles/1205328.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
piecewise monotonic map
invariant measure
periodic orbit measure
Markov diagram
Opis:
Transformations T:[0,1] → [0,1] with two monotonic pieces are considered. Under the assumption that T is topologically transitive and $h_{top}(T) > 0$, it is proved that the invariant measures concentrated on periodic orbits are dense in the set of all invariant probability measures.
Źródło:
Fundamenta Mathematicae; 1998, 157, 2-3; 221-234
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian
Autorzy:
Sobczak-Kneć, Magdalena
Starkov, Viktor V.
Szynal, Jan
Powiązania:
https://bibliotekanauki.pl/articles/747157.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Planar harmonic mappings
order of a linear invariant family
Jacobian
Opis:
The relation between the Jacobian and the orders of a linear invariant family of locally univalent harmonic mapping in the plane is studied. The new order (called the strong order) of a linear invariant family is defined and the relations between order and strong order are established.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2011, 65, 2
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lower bound technique and its applications to function systems and stochastic partial differential equations
Autorzy:
Szarek, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/748431.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Ergodicity of Markov families, invariant measures, dynamical systems with jumps
Opis:
W pracy formułujemy kryteria dla istnienia miary niezmienniczej dla łańcuchów i procesów Markowa. Następnie pokazujemy ich użyteczność w teorii iterowanych układów funkcyjnych i stochastycznych równań  różniczkowych.
We formulate some criteria on the existence of an invariant measure for Markov chains and Markov processes. We also show their utylities in the theory of function systems and stochastic differential equations
Źródło:
Mathematica Applicanda; 2013, 41, 2
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability of right invariant systems on semi-simple Lie groups
Autorzy:
El Assoudi, R.
Gauthier, J.
Kupka, I.
Powiązania:
https://bibliotekanauki.pl/articles/1359667.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
invariant vector fields
controllability
root systems
semi-simple Lie algebras
Opis:
We deal with controllability of right invariant control systems on semi-simple Lie groups. We recall the history of the problem and the successive results. We state the final complete result, with a sketch of proof.
Źródło:
Banach Center Publications; 1995, 32, 1; 199-208
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ekwiwalencja w translacji – tertium comparationis czy iluzja?
Equivalence in translation – tertium comparationis or illusion?
Autorzy:
Małgorzewicz, Anna
Powiązania:
https://bibliotekanauki.pl/articles/555509.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Warszawski. Wydział Lingwistyki Stosowanej
Tematy:
translation equivalence
adequacy
invariant
ontological paradox of translation
collocutionality
coreferentiality
Opis:
The paper discusses issues connected with translation equivalence. The author reviews existing concepts of translation equivalence while paying particular attention to those falling within the paradigm of anthropocentric translation studies. The conducted research showed that this concept has evolved from being a static category to becoming a dynamic category. Translation invariants which are perceived as tertium comparationis in translation serve here as the focus of attention. Those include invariability of thematic reference and adequacy of communicative aim of translation. The ontological paradox understood as complementary coexistence of identity and difference is also discussed here. Another issue presents subjectivity perceived as immanent quality of cognitive and task-related activity of participants of translation communication which seems to challenge the objectivity of category of equivalence.
Źródło:
Applied Linguistics Papers; 2018, 25/4; 79-90
2544-9354
Pojawia się w:
Applied Linguistics Papers
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:
Variance in Phraseology
Autorzy:
Krzyżanowska, Anna
Powiązania:
https://bibliotekanauki.pl/articles/605998.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
phraseology
phraseological units
canonical forms
types of phraseological variance
invariant
Opis:
Der Band enthält die Abstracts ausschließlich in englischer Sprache.
The article presents various approaches to the problem of variance in the context of Polish and French phraseology. As it follows from previously conducted research, the phenomenon of phraseological variance may encompass a wide or narrow spectrum of morphosyntactic and/or semantic changeability of fixed combinations of words. Formal differences between variants or changes in the components should not, however, interfere with the identification of a set phrase in its various forms. Therefore, the extent of possible modifications in the signifier and their impact on the semantic identity of a unit becomes a vital issue. Thorough analyses conducted by Polish and French linguists are an attempt to address the problems and difficulties connected with the description of phraseological variants which have not been completely solved. The author of the present article discusses the types of phraseological variance on the basis of examples excerpted from contemporary general and specialized dictionaries; these types include morphosyntactic and lexical variances as well as the variance in length. There are synonymic, metonymic and hypernymic-hyponymic relations between the components of phraseological variants. In the study of the polymorphism of fixed units, the concept of invariant is also of importance.
Le numéro contient uniquement les résumés en anglais.
Том не содержит аннотаций на английском языке.
Źródło:
Lublin Studies in Modern Languages and Literature; 2017, 41, 2
0137-4699
Pojawia się w:
Lublin Studies in Modern Languages and Literature
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On orthogonal projection of right angle
O niezmienniku charakterystycznym rzutowania prostokątnego
Autorzy:
Koźniewski, E.
Powiązania:
https://bibliotekanauki.pl/articles/118860.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Geometrii i Grafiki Inżynierskiej
Tematy:
invariant
orthogonal projection
right angle
inwariant
rzutowanie prostokątne
kąt prosty
Opis:
In some textbooks Descriptive Geometry characteristic invariant of orthogonal projection is used in the opposite sense than is formulated. The paper presents the complete formulation of the theorem and its simple proof suitable for presentation to students.
W niektórych podręcznikach geometrii wykreślnej niezmiennik charakterystyczny rzutowania prostokątnego jest stosowany w odwrotnym znaczeniu niż jest formułowany. W pracy przedstawiono pełne sformułowanie twierdzenia i jego prosty dowód, nadające się do zaprezentowania studentom.
Źródło:
Journal Biuletyn of Polish Society for Geometry and Engineering Graphics; 2015, 27; 29-31
1644-9363
Pojawia się w:
Journal Biuletyn of Polish Society for Geometry and Engineering Graphics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decompositions of hypersurface singularities oftype $J_{k,0}$
Autorzy:
Jaworski, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/1311702.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
hypersurface singularity
j-invariant
underdiagonal deformation
shift transformation
quasihomogeneous transformation
Opis:
Applications of singularity theory give rise to many questions concerning deformations of singularities. Unfortunately, satisfactory answers are known only for simple singularities and partially for unimodal ones. The aim of this paper is to give some insight into decompositions of multi-modal singularities with unimodal leading part. We investigate the $J_{k,0}$ singularities which have modality k - 1 but the quasihomogeneous part of their normal form only depends on one modulus.
Źródło:
Annales Polonici Mathematici; 1994, 59, 2; 117-131
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On nearly selfoptimizing strategies for multiarmed bandit problems with controlled arms
Autorzy:
Drabik, Ewa
Powiązania:
https://bibliotekanauki.pl/articles/1340247.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
selfoptimizing strategies
adaptative control
invariant measure
multiarmed bandit
stochastic control
Opis:
Two kinds of strategies for a multiarmed Markov bandit problem with controlled arms are considered: a strategy with forcing and a strategy with randomization. The choice of arm and control function in both cases is based on the current value of the average cost per unit time functional. Some simulation results are also presented.
Źródło:
Applicationes Mathematicae; 1995-1996, 23, 4; 449-473
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Homfly polynomials as vassiliev link invariants
Autorzy:
Kanenobu, Taizo
Miyazawa, Yasuyuki
Powiązania:
https://bibliotekanauki.pl/articles/1342383.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
link
Conway polynomial
Jones polynomial
HOMFLY polynomial
Vassiliev link invariant
Opis:
We prove that the number of linearly independent Vassiliev invariants for an r-component link of order n, which derived from the HOMFLY polynomial, is greater than or equal to min{n,[(n+r-1)/2]}.
Źródło:
Banach Center Publications; 1998, 42, 1; 165-185
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quadratic inequalities for functionals in $l^{\infty}$
Autorzy:
Herzog, Gerd
Kunstmann, Peer Chr.
Powiązania:
https://bibliotekanauki.pl/articles/2051918.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Banach algebras of bounded functions
operator-invariant functionals
Banach limits
Opis:
For a class of operators $T$ on $l^{\infty}$ and $T$-invariant functionals $\phi$ we prove inequalities between $\phi(x), \phi(x^{2})$ and the upper density of the sets \[P_{r} := \{n \in \mathbb{N}_{0} : \phi((T^{n}x)\cdot x) > r\}\] Applications are given to Banach limits and integrals.
Źródło:
Opuscula Mathematica; 2021, 41, 3; 437-446
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of multivariable linear time-invariant systems by proportional-plus-derivative state feedback
Autorzy:
Kiritsis, Konstadinos H.
Powiązania:
https://bibliotekanauki.pl/articles/31342764.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stabilization
proportional-plus-derivative state feedback
linear time-invariant systems
Opis:
This paper is devoted to the study of the problem of stabilization by proportional-plus-derivative state feedback for multivariable linear time-invariant systems. In particular, explicit necessary and sufficient conditions are established for the stability of a closed-loop system obtained by proportional-plus-derivative state feedback from the given multivariable linear time-invariant system. A procedure is given for the computation of stabilizing proportional- plus-derivative state feedback. Our approach is based on properties of real and polynomial matrices.
Źródło:
Control and Cybernetics; 2023, 52, 1; 53-77
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ergodic decomposition of quasi-invariant probability measures
Autorzy:
Greschonig, Gernot
Schmidt, Klaus
Powiązania:
https://bibliotekanauki.pl/articles/965652.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
ergodic decomposition
nonsingular group actions
nonsingular equivalence relations
quasi-invariant measures
Opis:
The purpose of this note is to prove various versions of the ergodic decomposition theorem for probability measures on standard Borel spaces which are quasi-invariant under a Borel action of a locally compact second countable group or a discrete nonsingular equivalence relation. In the process we obtain a simultaneous ergodic decomposition of all quasi-invariant probability measures with a prescribed Radon-Nikodym derivative, analogous to classical results about decomposition of invariant probability measures.
Źródło:
Colloquium Mathematicum; 2000, 84/85, 2; 495-514
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Function classes and relational constraints stable under compositions with clones
Autorzy:
Couceiro, Miguel
Foldes, Stephan
Powiązania:
https://bibliotekanauki.pl/articles/728758.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
function classes
right (left) composition
Boolean function
invariant relations
relational constraints
Opis:
The general Galois theory for functions and relational constraints over arbitrary sets described in the authors' previous paper is refined by imposing algebraic conditions on relations.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2009, 29, 2; 109-121
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The uniqueness of Haar measure and set theory
Autorzy:
Zakrzewski, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/966757.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
real-valued measurable cardinal
invariant measure
Haar measure
locally compact space
Opis:
Let G be a group of homeomorphisms of a nondiscrete, locally compact, σ-compact topological space X and suppose that a Haar measure on X exists: a regular Borel measure μ, positive on nonempty open sets, finite on compact sets and invariant under the homeomorphisms from G. Under some mild assumptions on G and X we prove that the measure completion of μ is the unique, up to a constant factor, nonzero, σ-finite, G-invariant measure defined on its domain iff μ is ergodic and the G-orbits of all points of X are uncountable. In particular, this is true if either G is a locally compact, σ-compact topological group acting continuously on X, or the space X is uniform and nonseparable, and G consists of uniformly equicontinuous unimorphisms of X.
Źródło:
Colloquium Mathematicum; 1997, 74, 1; 109-121
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Créer un flou référentiel : l’analyse de la structure pronom indéfini on + V et de ses équivalents polonais sur l’exemple des textes fantastiques
Creation of reference ambiguity/inaccuracy: the analysis of the structure indefinite pronoun + V and its Polish equivalents based on fantasy texts
Autorzy:
Niziołek, Małgorzata
Powiązania:
https://bibliotekanauki.pl/articles/1048357.pdf
Data publikacji:
2019-05-30
Wydawca:
Uniwersytet im. Adama Mickiewicza w Poznaniu
Tematy:
the structure indefinite pronoun on V
traduction
invariant of fantasy literature
Opis:
The starting point for the discussion is the statement that fantasy is born in the language. Among the linguistic measures that create the ‘crack’ in reality indefinite pronouns can be found. They make it possible to form the reference ambiguity/inaccuracy. Our aim is to describe linguistic mechanisms which conceal the perpetrator of action. This is why reflection on the structure indefinite pronoun + V and its Polish equivalents in the corpus of fantasy texts is offered. The purpose of the analysis is not to systematically describe the use of this structure. It is crucial to present the most important contexts in which the structure is present. The choice of corpus is a particularly important matter with regard to the obtained results. We would like to show that the structure indefinite pronoun on + V is one of the invariants of fantasy literature.
Źródło:
Studia Romanica Posnaniensia; 2019, 46, 1; 153-166
0137-2475
2084-4158
Pojawia się w:
Studia Romanica Posnaniensia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical checking method for positive invariance of polyhedral sets for linear dynamical systems
Autorzy:
Yang, H.
Hu, Y.
Powiązania:
https://bibliotekanauki.pl/articles/200512.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
positively invariant sets
linear system
polyhedral set
polyhedral cone
linear programming
Opis:
Positively invariant sets play an important role in the theory and applications of dynamical systems. The stability in Lyapunov sense of equilibrium x = 0 is equivalent to the existence of the ellipsoidal positively invariant sets. The constraints on the state and control vectors of dynamical systems can be formulated as polyhedral positively invariant sets in practical engineering problems. Numerical checking method of positive invariance of polyhedral sets is addressed in this paper. The validation of the positively invariant sets can be done by solving LPs which can be easily implemented numerically. The effectiveness of the proposed checking method is illustrated by examples. Compared with the now existing algebraic methods, numerical checking method is attractive and, importantly, easy to be implemented.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 3; 593-599
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On impact of disturbance in the deployment problem of multi-agent system
Autorzy:
Topolewicz, Katarzyna
Olaru, Sorin
Girejko, Ewa
Dórea, Carlos E.T.
Powiązania:
https://bibliotekanauki.pl/articles/27312010.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
multi-agent systems
deployment problem
robust invariant set
set-theoretic analysis
disturbance
Opis:
The paper is dedicated to the robustness analysis of scalar multi-agent dynamical systems. The open problem we aim to address is the one related to the impact of additive disturbances. Set-theoretic methods are used to achieve the main results in terms of positive invariance and admissible bounds on the disturbances.
Źródło:
Archives of Control Sciences; 2023, 33, 2; 299--320
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the property of the BBGKY hierarchy solution in a cumulant representation
Autorzy:
Stashenko, M. O.
Hubal, H. M.
Powiązania:
https://bibliotekanauki.pl/articles/255280.pdf
Data publikacji:
2009
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
BBGKY hierarchy of equations
nonsymmetric system
cumulant (semi-invariant)
equilibrium distribution functions
Opis:
We consider a one-dimensional nonsymmetric system of particles interacting via the hard-core potential. For this system, we prove that the BBGKY hierarchy solution in a cumulant representation is an equilibrium in the case of equilibrium initial data.
Źródło:
Opuscula Mathematica; 2009, 29, 2; 209-216
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On invariant measures for power bounded positive operators
Autorzy:
Sato, Ryotaro
Powiązania:
https://bibliotekanauki.pl/articles/1287342.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
power bounded and Cesàro bounded positive operators
invariant measures
$L_1$ spaces
Opis:
We give a counterexample showing that $\overline{(I-T*)L_{∞}} ∩ L^{+}_{∞} = {0}$ does not imply the existence of a strictly positive function u in $L_1$ with Tu = u, where T is a power bounded positive linear operator on $L_1$ of a σ-finite measure space. This settles a conjecture by Brunel, Horowitz, and Lin.
Źródło:
Studia Mathematica; 1996, 120, 2; 183-189
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sample partitioning estimation for ergodic diffusions: application to Ornstein-Uhlenbeck diffusion
Autorzy:
Ramos, Luís
Powiązania:
https://bibliotekanauki.pl/articles/729918.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
ergodic diffusions
martingale estimating functions
transition and invariant densities
maximum likelihood estimators
Opis:
When a diffusion is ergodic its transition density converges to its invariant density, see Durrett (1998). This convergence enabled us to introduce a sample partitioning technique that gives in each sub-sample, maximum likelihood estimators. The averages of these being a natural choice as estimators. To compare our estimators with the optimal we obtained from martingale estimating functions, see Sørensen (1998), we used the Ornstein-Uhlenbeck process for which exact simulations can be carried out.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2010, 30, 1; 117-122
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of autonomous linear time invariant fractional order derivative switched systems with different derivative in subsystems
Autorzy:
Balochian, S.
Powiązania:
https://bibliotekanauki.pl/articles/200478.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear time invariant fractional order derivative
switching systems
linear matrix inequality
LMI
Opis:
In this paper, the stabilization problem of a autonomous linear time invariant fractional order (LTI-FO) switched system with different derivative order in subsystems is outlined. First, necessary and sufficient condition for stability of an LTI-FO switched system with different derivative order in subsystems based on the convex analysis and linear matrix inequality (LMI) for two subsystems is presented and proved. Also, sufficient condition for stability of an LTI-FO switched system with different derivative order in subsystems for more than two subsystems is proved. Then a sliding sector is designed for each subsystem of the LTI-FO switched system. Finally, a switching control law is designed to switch the LTI-FO switched system among subsystems to ensure the decrease of the norm of the switched system. Simulation results are given to show the effectiveness of the proposed variable structure controller.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 3; 495-503
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A novel method for invariant image reconstruction
Autorzy:
Pawlak, Mirosław
Panesar, Gurmukh Singh
Korytkowski, Marcin
Powiązania:
https://bibliotekanauki.pl/articles/2031146.pdf
Data publikacji:
2021
Wydawca:
Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
Tematy:
object representation
invariant features
symmetry
radial orthogonal moments
continuous symmetry
ridge regression
Opis:
In this paper we propose a novel method for invariant image reconstruction with the properly selected degree of symmetry. We make use of Zernike radial moments to represent an image due to their invariance properties to isometry transformations and the ability to uniquely represent the salient features of the image. The regularized ridge regression estimation strategy under symmetry constraints for estimating Zernike moments is proposed. This extended regularization problem allows us to enforces the bilateral symmetry in the reconstructed object. This is achieved by the proper choice of two regularization parameters controlling the level of reconstruction accuracy and the acceptable degree of symmetry. As a byproduct of our studies we propose an algorithm for estimating an angle of the symmetry axis which in turn is used to determine the possible asymmetry present in the image. The proposed image recovery under the symmetry constraints model is tested in a number of experiments involving image reconstruction and symmetry estimation.
Źródło:
Journal of Artificial Intelligence and Soft Computing Research; 2021, 11, 1; 69-80
2083-2567
2449-6499
Pojawia się w:
Journal of Artificial Intelligence and Soft Computing Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust multisensor fault tolerant model-following MPC design for constrained systems
Autorzy:
Yetendje, A.
Seron, M. M.
De Doná, J. A.
Powiązania:
https://bibliotekanauki.pl/articles/331458.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie tolerujące uszkodzenia
odporność
ograniczenie
fault tolerant control
constraints
robustness
invariant set
Opis:
In this paper, a robust fault-tolerant control strategy for constrained multisensor linear systems, subject to sensor faults and in the presence of bounded state and output disturbances, is proposed. The scheme verifies that, for each sensors-estimator combination, suitable residual variables lie inside pre-computed sets and selects a more appropriate combination based on a chosen criterion. An active fault tolerant output feedback controller yields an MPC-based control law and, by means of the notion of a "tube" of trajectories, we ensure robust closed-loop exponential stability and good performance in the fault-free case and under the occurrence of abrupt sensor faults.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 1; 211-223
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A general solution to the output-zeroing problem for MIMO LTI systems
Autorzy:
Tokarzewski, J.
Powiązania:
https://bibliotekanauki.pl/articles/907995.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
informatyka
linear multivariable systems
state-space methods
output-zeroing problem
invariant zeros
Opis:
The problem of zeroing the output in an arbitrary linear continuous-time system S(A,B,C,D) with a nonvanishing transfer function is discussed and necessary conditions for output-zeroing inputs are formulated. All possible real-valued inputs and real initial conditions which produce the identically zero system response are characterized. Strictly proper and proper systems are discussed separately.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 161-171
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Forward invariant sets, homogeneity and small-time local controllability
Autorzy:
Krastanov, Mikhail
Powiązania:
https://bibliotekanauki.pl/articles/1359675.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
small-time local controllability
forward invariant sets
differential inclusions
homogeneous control systems
Opis:
The property of forward invariance of a subset of $R^n$ with respect to a differential inclusion is characterized by using the notion of a perpendicular to a set. The obtained results are applied for investigating the dependence of the small-time local controllability of a homogeneous control system on parameters.
Źródło:
Banach Center Publications; 1995, 32, 1; 287-300
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fourier transform, oscillatory multipliers and evolution equations in rearrangement invariant function spaces
Autorzy:
Brandolini, Luca
Colzani, Leonardo
Powiązania:
https://bibliotekanauki.pl/articles/966988.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
rearrangement invariant Banach function spaces
Schrödinger and wave equations
Fourier transform
multipliers
Źródło:
Colloquium Mathematicum; 1996, 71, 2; 273-286
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Feature map augmentation to improve scale invariance in convolutional neural networks
Autorzy:
Kumar, Dinesh
Sharma, Dharmendra
Powiązania:
https://bibliotekanauki.pl/articles/2201321.pdf
Data publikacji:
2023
Wydawca:
Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
Tematy:
convolutional neural network
feature map augmentation
global features
scale-invariant
vision system
Opis:
Introducing variation in the training dataset through data augmentation has been a popular technique to make Convolutional Neural Networks (CNNs) spatially invariant but leads to increased dataset volume and computation cost. Instead of data augmentation, augmentation of feature maps is proposed to introduce variations in the features extracted by a CNN. To achieve this, a rotation transformer layer called Rotation Invariance Transformer (RiT) is developed, which applies rotation transformation to augment CNN features. The RiT layer can be used to augment output features from any convolution layer within a CNN. However, its maximum effectiveness is shown when placed at the output end of final convolution layer. We test RiT in the application of scale-invariance where we attempt to classify scaled images from benchmark datasets. Our results show promising improvements in the networks ability to be scale invariant whilst keeping the model computation cost low.
Źródło:
Journal of Artificial Intelligence and Soft Computing Research; 2023, 13, 1; 51--74
2083-2567
2449-6499
Pojawia się w:
Journal of Artificial Intelligence and Soft Computing Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Variable neighborhood search for extremal graphs. 17. Further conjectures and results about the index
Autorzy:
Aouchiche, Mustapha
Hansen, Pierre
Stevanović, Dragan
Powiązania:
https://bibliotekanauki.pl/articles/743111.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
AutoGraphiX
automated conjecture making
index of a graph
spectral radius
graph invariant
Opis:
The AutoGraphiX 2 system is used to compare the index of a connected graph G with a number of other graph theoretical invariants, i.e., chromatic number, maximum, minimum and average degree, diameter, radius, average distance, independence and domination numbers. In each case, best possible lower and upper bounds, in terms of the order of G, are sought for sums, differences, ratios and products of the index and another invariant. There are 72 cases altogether: in 7 cases known results were reproduced, in 32 cases immediate results were obtained and automatically proved by the system, conjectures were obtained in 27 cases, of which 12 were proved (in 3 theorems and 9 propositions), 9 remain open and 6 were refuted. No results could be derived in 7 cases.
Źródło:
Discussiones Mathematicae Graph Theory; 2009, 29, 1; 15-37
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
NOMINATIVE ASPECT OF VARIATION IN TERMINOLOGY
NOMINATYWNY ASPEKT WARIANTOWOŚĆI W TERMINOLOGII
НОМИНАТИВНЫЙ АСПЕКТ ВАРИАНТНОСТИ В ТЕРМИНОЛОГИИ
Autorzy:
Popovych, Raisa
Powiązania:
https://bibliotekanauki.pl/articles/576932.pdf
Data publikacji:
2016-12-30
Wydawca:
Międzynarodowy Instytut Innowacji Nauka – Edukacja – Rozwój w Warszawie
Tematy:
variant, invariant, nominative variants, onomasyological invariant, nominatively-variant terminological paradigm
wariant, inwariant, warianty nominatywne, inwariant onomasiologiczny, nominatywno-wariacyjny paradygmat terminologiczny
вариант, инвариант, номинативные варианты, ономасиологический инвариант, номинативно-вариантная терминопарадигма
Opis:
W artykule przeprowadzono rozróżnienie głównych typów wariantowośći w terminologii na podstawie formalnego, semantycznego i funkcjonalnego inwariantu. Sprecyzowane zostało pojęcie inwariantu onomasiologicznego, na podstawie którego rozróżnione są warianty nominatywne i nominatywno-wariacyjne paradygmaty terminologiczne w hiszpańskiej terminologii gospodarki wodnej. Przeanalizowane zostało wzajemne powiązanie różnych rodzajów terminologicznej wariantowośći i ich rola w uzupełnieniu wariantów nominatywnych i kształtowania paradygmatów wariantów nominatywnych.
Main types of variation in terminology, which arise from formal, semantic and functional invariants, are distinguished in the article. The notion of onomasyological invariant is determined, on the base of which the nominal variants and nominatively- variant terminological paradigms in the Spanish water management terminology are defined. The interconnection between different types of terminological variation, their role in nominative variants enriching and nominative variants paradigm forming are analyzed.
В статье осуществлено разграничение основных типов вариантности в терминологии, исходя из формального, семантического и функционального инвариантов. Уточнено понятие ономасиологического инварианта, на базе которого выделяются номинативные варианты и номинативно-вариантные терминопарадигмы в испанской водохозяйственной терминологии. Проанализирована взаимосвязь разных типов терминологической вариантности и их роль в пополнении номинативных вариантов и формировании парадигм номинативных вариантов.
Źródło:
International Journal of New Economics and Social Sciences; 2016, 4(2); 310-316
2450-2146
2451-1064
Pojawia się w:
International Journal of New Economics and Social Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Stabilizing Control Law for Invariant Systems on Lie Groups
Autorzy:
Apostolou, N.
Kazakos, D.
Powiązania:
https://bibliotekanauki.pl/articles/911170.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ niezmienny
grupa Liego
sterowanie zamknięte
invariant systems
Lie groups
stabilization
feedback controller
Opis:
This paper deals with the stabilizability of invariant control systems defined on Lie groups. A stabilization technique is presented which, under certain hypotheses, can lead to a criterion assuring the existence of a feedback controller which steers every initial condition to a specified target point of the state space of these systems.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 273-282
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
State estimation of networked control systems over limited capacity and dropout channels
Autorzy:
Liu, Qingquan
Ding, Rui
Chen, Chunqiang
Powiązania:
https://bibliotekanauki.pl/articles/229800.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear time-invariant systems
limited capacity
observability
state estimation
networked control
data rate
Opis:
This paper investigates state estimation of linear time-invariant systems where the sensors and controllers are geographically separated and connected over limited capacity, additive white Gaussian noise (AWGN) communication channels. Such channels are viewed as dropout (erasure) channels. In particular, we consider the case with limited data rates, present a necessary and sufficient condition on the data rate for mean square observability over an AWGN channel. The system is mean square observable if the data rate of the channel is larger than the lower bound given. It is shown in our results that there exist the inherent tradeoffs among the limited data rate, dropout probability, and observability. An illustrative example is given to demonstrate the effectiveness of the proposed scheme.
Źródło:
Archives of Control Sciences; 2019, 29, 4; 687-697
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A hybrid approach for fault diagnosis of spur gears using Hu invariant moments and artificial neural networks
Autorzy:
Rex, F. Michael Thomas
Andrews, A.
Krishnakumari, A.
Hariharasakthisudhan, P.
Powiązania:
https://bibliotekanauki.pl/articles/220768.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
gear fault
Ahao-Atlas-Marks
time-frequency domain features
Hu invariant moments
ANN
Opis:
Achieving a reliable fault diagnosis for gears under variable operating conditions is a pressing need of industries to ensure productivity by averting unwanted breakdowns. In the present work, a hybrid approach is proposed by integrating Hu invariant moments and an artificial neural network for explicit extraction and classification of gear faults using time-frequency transforms. The Zhao-Atlas-Marks transform is used to convert the raw vibrations signals from the gears into time-frequency distributions. The proposed method is applied to a single-stage spur gearbox with faults created using electric discharge machining in laboratory conditions. The results show the effectiveness of the proposed methodology in classifying the faults in gears with high accuracy.
Źródło:
Metrology and Measurement Systems; 2020, 27, 3; 451-464
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ergodic theory approach to chaos: remarks and computational aspects
Autorzy:
Mitkowski, P. J.
Mitkowski, W.
Powiązania:
https://bibliotekanauki.pl/articles/331446.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
twierdzenie ergodyczne
chaos
miara niezmiennicza
ergodic theory
invariant measures
attractors
delay differential equations
Opis:
We discuss basic notions of the ergodic theory approach to chaos. Based on simple examples we show some characteristic features of ergodic and mixing behaviour. Then we investigate an infinite dimensional model (delay differential equation) of erythropoiesis (red blood cell production process) formulated by Lasota. We show its computational analysis on the previously presented theory and examples. Our calculations suggest that the infinite dimensional model considered possesses an attractor of a nonsimple structure, supporting an invariant mixing measure. This observation verifies Lasota's conjecture concerning nontrivial ergodic properties of the model.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 259-267
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Single stage algorithms for pole placement using static output feedback
Autorzy:
Kuźmiński, K.
Krawiecki, M.
Powiązania:
https://bibliotekanauki.pl/articles/970929.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
generalized inverse
time-invariant linear systems
static output feedback
pole placement
Kronecker product
Opis:
Paper presents effective formulae, enabling transfer matrix pole assignment. This is accomplished by the use of generalized matrix inverses and the Kronecker product. All the desired pole distributions are covered - namely simple and multiple, real and complex. On this basis one-stage algorithms were developed, avoiding commonly used reduced orthogonality condition. Computational example of the presented algorithms is given.
Źródło:
Control and Cybernetics; 2007, 36, 4; 939-969
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modeling kinetics of CO2 (carbon dioxide) mineral sequestration in heterogeneous aqueous suspensions systems of cement dust
Autorzy:
Świnder, H.
Michalak, M.
Uliasz-Bocheńczyk, A.
Powiązania:
https://bibliotekanauki.pl/articles/92115.pdf
Data publikacji:
2013
Wydawca:
Główny Instytut Górnictwa
Tematy:
CO2 sequestration
cement dust
invariant function
sekwestracja CO2
pył cementowy
funkcja niezmienna
Opis:
The necessity to reduce CO2 emission in the environment has encouraged people to search for solutions for its safe capture and storage. Known methods for carbon dioxide mineral sequestration are based primarily on the use of its binding reaction with metal oxides, mainly earth metals. Increasingly important, due to the availability and price, are processes based on the suspension of various wastes such as fly ash, cement dust or furnace slag. Due to the complexity of the mineral sequestration of CO2 in water-waste suspensions, an important issue is to determine the reaction mechanisms. This applies mainly to the initial period of the transformation phase of mineral wastes, and consequently with the occurrence of a number of transition states of ionic equilibria. The mechanisms and reaction rates in the various stages of the process of CO2 mineral sequestration in heterogeneous systems containing selected wastes are defined herein. This paper presents a method of modeling kinetics of this type of process, developed on the basis of the results of the absorption of CO2 thanks to the aqueous suspension of fly ash and cement dust. This allowed for the transfer of obtained experimental results into the mathematical formula, using the invariant function method, used to describe the processes.
Źródło:
Journal of Sustainable Mining; 2013, 12, 4; 1-5
2300-1364
2300-3960
Pojawia się w:
Journal of Sustainable Mining
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Образ реальности и реальность образа: проблема цивилизационной идентичности в свете опыта социокультурного «пограничья»
Image of reality and reality of image: the problem of civilizational identity in the light of the experience of socio-cultural “Frontier”
Autorzy:
Shemyakin, Iakov
Powiązania:
https://bibliotekanauki.pl/articles/1374323.pdf
Data publikacji:
2020-06-30
Wydawca:
Uniwersytet Warmińsko-Mazurski w Olsztynie
Tematy:
identity
image of identity
identificational core-invariant
civilizational identity
“borderline” civilization
“classical” civilization
dialogue
Opis:
The article deals with the problem of civilizational identity in the light of the experience of socio-cultural “borderland”. The author defines identity as a state of community or personality that has acquired the meaning of existence and, thus, integrity. Under the condition of identity differ in the image of identity and the identificational pivot-invariant. The image of identity is a spiritual reality, the basis of the “spiritual body” of civilization, reflecting its ideas about itself, its place in history. Identifying a core-invariant is the reality of the connection of the spiritual and the material “body” of civilization. In its spiritual aspect it is either the same as (fully or partially) with the image of civilization, or is in conflict (to varying degrees). The key characteristic of civilizations of the “borderline” type-the dominant of diversitydetermined the specificity of their identification sphere: relatively frequent (in comparison with the great “classical” civilizations of the East and the West) change of identity images while maintaining the same identification invariant – the process of interaction of diverse traditions. According to the author, the experience of civilizational “borderland” is especially valuable in modern conditions. The main conclusions that can be drawn from the study of this experience. First, it is possible to achieve the unity of the civilizational system in the conditions of the dominant diversity. Secondly, it is possible to preserve the identificational core-invariant with a relatively frequent (again, in comparison with the great “classical” civilizations of the East and the West) change in the images of the identity of civilizations of the “border” type.
Źródło:
Przegląd Wschodnioeuropejski; 2020, XI, 1; 219-229
2081-1128
Pojawia się w:
Przegląd Wschodnioeuropejski
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the ρ-Edge Stability Number of Graphs
Autorzy:
Kemnitz, Arnfried
Marangio, Massimiliano
Powiązania:
https://bibliotekanauki.pl/articles/32361738.pdf
Data publikacji:
2022-02-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
edge stability number
line stability
invariant
chromatic edge stability index
chromatic index
edge coloring
Opis:
For an arbitrary invariant $ \rho(G) $ of a graph $G$ the $ \rho $-edge stability number $ es_\rho (G) $ is the minimum number of edges of $G$ whose removal results in a graph $ H \subseteq G $ with $ \rho (H) \ne \rho (G) $ or with $ E(H) = \emptyset $. In the first part of this paper we give some general lower and upper bounds for the $ \rho $-edge stability number. In the second part we study the $ \chi^' $-edge stability number of graphs, where $ \chi^' = \chi^' (G) $ is the chromatic index of $G$. We prove some general results for the so-called chromatic edge stability index $ es_{ \chi^′ } (G) $ and determine $ es_{ \chi^′ } (G) $ exactly for specific classes of graphs.
Źródło:
Discussiones Mathematicae Graph Theory; 2022, 42, 1; 249-262
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Parenteza w dyskursie lingwistycznym wielosuprematycznych wypowiedzeń oznajmujących (badania eksperymentalne)
Autorzy:
Skorek, Julian
Powiązania:
https://bibliotekanauki.pl/articles/607756.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
parenthesis
invariant
supra terminal
supra initial
rheme
parenteza
inwariant
suprem terminalny
suprem inicjalny
remat
Opis:
The purpose of this publication is to detect the linguistic functions in creating multi-suprasegmental declarative utterances. In the context of the parenthesis there is an interpositional localization. It consists of at least three units: 1) supra initial of the uncompleted content, 2) parenthesis, 3) supra terminal of the completed content. The distribution of these units is normative. The supreme phoneme of a terminal unit as a phonological invariant expresses the declarative content of the entire utterance. It is characterized by a sloping course, low tone, lengthening of quantity and the decrease in the intensity level. Whereas a parenthetical unit constitutes the supplement of the declarative content. It shows a regular course, low tone, standardization of quantity and the level of intensity. The terminal parenthesis unit combines either syntax or theme-semantic structure. A supreme accent of a unit in progress is an expression of the individual subject. For this reason, the unit of the content in progress is of a variant character. Whereas the supreme accent of a unit of the completed content, is the rheme phrase. The intonation structure of a multi-suprasegmental declarative utterance with a parenthesis is created by a supreme accent of a terminal unit, representing the phoneme-specific functions, and parenthesis.
Celem niniejszej publikacji jest wykrycie funkcji lingwistycznej parentezy w tworzeniu wielosuprematycznych wypowiedzeń oznajmujących. W ich kontekście parenteza ma lokalizację interpozycyjną. W skład wypowiedzi wchodzą co najmniej trzy jednostki: 1) suprem inicjalny o treści niezakończonej, 2) parenteza, 3) suprem terminalny o treści zakończonej. Dystrybucja tych jednostek ma charakter normatywny. Fonem suprematyczny jednostki terminalnej jako fonologiczny inwariant wyraża treści oznajmujące całego wypowiedzenia. Cechuje go przebieg opadający, ton niski, wzdłużenie iloczasu oraz spadek poziomu intensywności. Natomiast jednostka parentetycznastanowi uzupełnienie treści oznajmujących. Wykazuje: przebieg równy, ton niski, ujednolicenie iloczasu oraz poziomu intensywności. Parentezę z jednostką terminalną łączy zarówno składnia, jak i struktura tematyczno-rematyczna. Akcent suprematyczny jednostki niezakończonej jest wyrażeniem tematu. Z tego też powodu jednostka o treści niezakończonej ma charakter wariantowy. Natomiast akcent suprematyczny jednostki o treści zakończonej, terminalnej jest wyrażeniem rematu. Strukturę intonacyjną wielosuprematycznego wypowiedzenia oznajmującego z parentezątworzy akcent suprematyczny jednostki terminalnej, występujący w funkcji swoistego fonemu oraz parenteza.
Źródło:
Annales Universitatis Mariae Curie-Sklodowska, sectio FF – Philologia; 2015, 33, 1
0239-426X
Pojawia się w:
Annales Universitatis Mariae Curie-Sklodowska, sectio FF – Philologia
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A weighted Plancherel formula II. The case of the ball
Autorzy:
Zhang, Genkai
Powiązania:
https://bibliotekanauki.pl/articles/1293186.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Plancherel formula
Harish-Chandra c-function
reproducing kernel
orthogonal polynomial
invariant Cauchy-Riemann operator
Opis:
The group SU(1,d) acts naturally on the Hilbert space $L²(B dμ_α) (α > -1)$, where B is the unit ball of $ℂ^d$ and $dμ_α$ the weighted measure $(1-|z|²)^α dm(z)$. It is proved that the irreducible decomposition of the space has finitely many discrete parts and a continuous part. Each discrete part corresponds to a zero of the generalized Harish-Chandra c-function in the lower half plane. The discrete parts are studied via invariant Cauchy-Riemann operators. The representations on the discrete parts are equivalent to actions on some holomorphic tensor fields.
Źródło:
Studia Mathematica; 1992, 102, 2; 103-120
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Smoothness of unordered curves in two-dimensional strongly competitive systems
Autorzy:
Mierczyński, Janusz
Powiązania:
https://bibliotekanauki.pl/articles/1338935.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
strongly competitive system of ordinary differential equations
invariant manifold
d-curve
Lotka-Volterra system
Opis:
It is known that in two-dimensional systems of ODEs of the form $\dotx^i=x^if^i(x)$ with ${\partial f^i}/{\partial x^j} < 0$ (strongly competitive systems), boundaries of the basins of repulsion of equilibria consist of invariant Lipschitz curves, unordered with respect to the coordinatewise (partial) order. We prove that such curves are in fact of class $C^1$.
Źródło:
Applicationes Mathematicae; 1998-1999, 25, 4; 449-455
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the structure of certain nontransitive diffeomorphism groups on open manifolds
Autorzy:
Kowalik, A.
Lech, J.
Michalik, I.
Powiązania:
https://bibliotekanauki.pl/articles/254822.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
foliated manifold
bounded group
conjugation-invariant norm
group of diffeomorphisms
commutator
perfectness
uniform perfectness
Opis:
It is shown that in some generic cases the identity component of the group of leaf preserving diffeomorphisms (with not necessarily compact support) on a foliated open manifold is perfect. Next, it is proved that it is also bounded, i.e. bounded with respect to any bi-invariant metric. It follows that the group is uniformly perfect as well.
Źródło:
Opuscula Mathematica; 2012, 32, 3; 511-520
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some mixed matrix problems over several discrete valuation rings
Autorzy:
Gubareni, N.
Powiązania:
https://bibliotekanauki.pl/articles/122874.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
valuation rings
local invariant rings
discrete valuation rings
approximation theorem
mixed flat matrix problems
Opis:
This article presents some results about several district valuation rings with a common skew field of fractions. They are obtained from the approximation theorem for discrete valuation rings. These results give the possibility to solve basic mixed matrix problems for such rings. We present the solution of some mixed flat matrix problems over several district valuation rings with common skew field of fractions.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 4; 47-58
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evaluation of the impact of hydrostatic pressure and Lode angle on the strength of the rock mass based on the Hoek–Brown criterion
Autorzy:
Marczak, H.
Powiązania:
https://bibliotekanauki.pl/articles/178623.pdf
Data publikacji:
2015
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
generalized Hoek–Brown failure criterion
equivalent cohesion
equivalent friction angle
global strength
invariant stress
Opis:
Determination of the global uniaxial compressive strength of rock mass on the basis of the Hoek–Brown failure criterion requires knowledge of the strength parameters: cohesion and the angle of internal friction. In the conventional method for the determination of these parameters given by Balmer, they are expressed by the minimum principal stress. Thus, this method does not allow for the assessment of an impact of hydrostatic pressure and stress path on the value of cohesion, friction angle and global uniaxial compression of rock mass. This problem can be eliminated by using the Hoek–Brown criterion expressed by the invariants of the stress state. The influence of hydrostatic pressure and the Lode angle on the strength parameters of the rock mass was analysed.
Źródło:
Studia Geotechnica et Mechanica; 2015, 37, 2; 85-91
0137-6365
2083-831X
Pojawia się w:
Studia Geotechnica et Mechanica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The work of professor Andrzej Lasota on asymptotic stability and recent progress
Autorzy:
Bartoszek, W.
Powiązania:
https://bibliotekanauki.pl/articles/255311.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
invariant measure
asymptotic stability
asymptotic periodicity
compact attractor
lower function
smoothing
cell cycle
sweeping
genericity
Opis:
The paper is devoted to Professor Andrzej Lasota's contribution to the ergodic theory of stochastic operators. We have selected some of his important papers and shown their influence on the evolution of this topic. We emphasize the role A. Lasota played in promoting abstract mathematical theories by showing their applications. The article is focused exclusively on ergodic properties of discrete stochastic semigroups {Pn : n ≥ 0}. Nevertheless, almost all of Lasota's results presented here have their one-parameter continuous semigroup analogs.
Źródło:
Opuscula Mathematica; 2008, 28, 4; 395-413
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On an Invariant Design of Feedbacks for Bilinear Control Systems of Second Order
Autorzy:
Belozyorov, V. Y.
Powiązania:
https://bibliotekanauki.pl/articles/908334.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
dwuliniowy układ sterowania
układ niezmienny
bilinear control systems
invariant design
asymptotic stability
second-order system
Opis:
The problem of linear feedback design for bilinear control systems guaranteeing their conditional closed-loop stability is considered. It is shown that this problem can be reduced to investigating the conditional stability of solutions of quadratic systems of differential equations depending on parameters of the control law. Sufficient conditions for stability in the cone of a homogeneous quadratic system are obtained. For second-order systems, invariant conditions of conditional asymptotic stability are found.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 377-389
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces
Autorzy:
Lau, Anthony To-Ming
Zhang, Yong
Powiązania:
https://bibliotekanauki.pl/articles/744659.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
amenability
semigroups
non-expansive mappings
weak*-compact convex sets
common fixed point
invariant mean
submean
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2018, 17
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Global existence and blow-up phenomenon for a quasilinear viscoelastic equation with strong damping and source terms
Autorzy:
Di, Huafei
Song, Zefang
Powiązania:
https://bibliotekanauki.pl/articles/2048895.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
viscoelastic equation
strong damping and source
blow-up
upper and lower bound
potential well
invariant set
Opis:
Considered herein is the global existence and non-global existence of the initial-boundary value problem for a quasilinear viscoelastic equation with strong damping and source terms. Firstly, we introduce a family of potential wells and give the invariance of some sets, which are essential to derive the main results. Secondly, we establish the existence of global weak solutions under the low initial energy and critical initial energy by the combination of the Galerkin approximation and improved potential well method involving with t. Thirdly, we obtain the finite time blow-up result for certain solutions with the non-positive initial energy and positive initial energy, and then give the upper bound for the blow-up time $T\text{}^{∗}$. Especially, the threshold result between global existence and non-global existence is given under some certain conditions. Finally, a lower bound for the life span $T\text{}^{∗}$ is derived by the means of integro-differential inequality techniques.
Źródło:
Opuscula Mathematica; 2022, 42, 2; 119-155
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Density of analytic polynomials in abstract Hardy spaces
Autorzy:
Karlovich, Alexei Yu.
Powiązania:
https://bibliotekanauki.pl/articles/1912827.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Banach function space
rearrangement-invariant space
variable Lebesgue space
abstract Hardy space
analytic polynomial
Fejér kernel
Opis:
Let \(X\) be a separable Banach function space on the unit circle \(\T\) and let \(H[X]\) be the abstract Hardy space built upon \(X\). We show that the set of analytic polynomials is dense in \(H[X]\) if the Hardy\polishendash Littlewood maximal operator is bounded on the associate space \(X'\). This result is specified to the case of variable Lebesgue spaces.
Źródło:
Commentationes Mathematicae; 2017, 57, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Invariant measures whose supports possess the strong open set property
Autorzy:
Goodman, G. S.
Powiązania:
https://bibliotekanauki.pl/articles/1397779.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
core
fractal
fractal measure
invariant measure
scaling function
scaling operator
strong open set condition
zero-one law
Opis:
Let X be a complete metric space, and S the union of a finite number of strict contractions on it. If P is a probability distribution on the maps, and K is the fractal determined by S, there is a unique Borel probability measure $ \mu_P$ on X which is invariant under the associated Markov operator, and its support is K. The Open Set Condition (OSC) requires that a non-empty, subinvariant, bounded open set $ V \subset X$ exists whose images under the maps are disjoint; it is strong if $ K \cup V \ne 0 $.In that case, the core of $ V, \check{V} = \bigcap_{n=0}^\infty $ is non-empty and dense in K. Moreover, when X is separable, $\check{V}$ has full $\mu_p$-measure for every P. We show that the strong condition holds for V satisfying the OSC iff $\mu_P(\delta V) = 0 $, and we prove a zero-one law for it. We characterize the complement of V relative to K, and we establish that the values taken by invariant measures on cylinder sets defined by K, or by the closure of V, form multiplicative cascades.
Źródło:
Opuscula Mathematica; 2008, 28, 4; 471-480
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical error bound of optimal control for homogeneous linear systems
Autorzy:
Daraghmeh, Adnan
Qatanani, Naji
Powiązania:
https://bibliotekanauki.pl/articles/229410.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
time-invariant systems
quadratic cost function
linear quadratic regulator
algebraic Riccati equation
Hamiltonian function
L2 norm
Opis:
In this article we focus on the balanced truncation linear quadratic regulator (LQR) with constrained states and inputs. For closed-loop, we want to use the LQR to find an optimal control that minimizes the objective function which called "the quadratic cost function” with respect to the constraints on the states and the control input. In order to do that we have used formal asymptotes for the Pontryagin maximum principle (PMP) and we introduce an approach using the so called The Hamiltonian Function and the underlying algebraic Riccati equation. The theoretical results are validated numerically to show that the model order reduction based on open-loop balancing can also give good closed-loop performance.
Źródło:
Archives of Control Sciences; 2019, 29, 2; 323-337
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Independence of mass from speed
Autorzy:
Etkin, V. E.
Powiązania:
https://bibliotekanauki.pl/articles/1179663.pdf
Data publikacji:
2017
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Newton's law
acceleration process
its irreversibility and efficiency
its modification
relativistic and invariant mass
theory of relativity
Opis:
It is shown that the dependence of mass on speed contradicts the law of conservation of mass in isolated systems. This makes necessary the modification of Newton's 2nd law with the addition along with the mass of a correction factor, which would take into account the nonlinear dependence of the accelerating force on the speed, due to the existence of its limit. The reasons for the apparent increase in mass with speed , which make the concept of the relativistic mass superfluous
Źródło:
World Scientific News; 2017, 72; 150-158
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Invariant piezoresonance devices based on adaptive multifrequency systems with a predictive standard
Niezmienne urządzenia piezorezonansowe na podstawie adaptacyjnych wieloczęstotliwościowych systemów z prognozowanym standardem
Autorzy:
Pidchenko, S.
Taranchuk, A.
Powiązania:
https://bibliotekanauki.pl/articles/407719.pdf
Data publikacji:
2018
Wydawca:
Politechnika Lubelska. Wydawnictwo Politechniki Lubelskiej
Tematy:
invariant multi-frequency piezoelectric resonance system
optimal control
mathematical model
niezmienne wieloczęstotliwościowe układy piezoresonansowe sterowanie optymalne
model matematyczny
Opis:
The paper presents conceptual provisions for the construction of invariant multi-frequency piezoelectric resonance devices with a predictive reference model. The law of the optimal control of the system in real time is formulated, aimed at minimizing energy costs to ensure the trajectory of the system. The results of piezoelectric resonance system mathematical modelling in the conditions of temperature and vibration perturbations are presented.
W artykule przedstawiono koncepcyjne zasady konstruowania niezmiennych wieloczęstotliwościowych piezoelektrycznych urządzeń z predykcyjnym modelem odniesienia. Zostało sformułowane prawo optymalnego sterowania systemem w czasie rzeczywistym, aby przy minimalnych stratach energii zapewnić trajektorię ruchu systemu. Przedstawiono wyniki matematycznego modelowania układu piezorezonansowego w warunkach zaburzeń temperatury i drgań.
Źródło:
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska; 2018, 8, 1; 20-23
2083-0157
2391-6761
Pojawia się w:
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems
Autorzy:
Si, Xindong
Yang, Hongli
Ivanov, Ivan G.
Powiązania:
https://bibliotekanauki.pl/articles/1838174.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fractional order nonlinear system
constrained regulation
positively invariant set
linear programming
układ nieliniowy
zbiór dodatnio niezmienny
programowanie liniowe
Opis:
The constrained regulation problem (CRP) for fractional-order nonlinear continuous-time systems is investigated. New existence conditions of a linear feedback control law for a class of fractional-order nonlinear continuous-time systems under constraints are proposed. A computation method for solving the CRP for fractional-order nonlinear systems is also presented. Using the comparison principle and positively invariant set theory, conditions guaranteeing positive invariance of a polyhedron for fractional-order nonlinear systems are established. A linear feedback controller model and the corresponding algorithm of the CRP for fractional nonlinear systems are also proposed by using the obtained conditions. The presented model of the CRP is formulated as a linear programming problem, which can be easily implemented from a computational point of view. Numerical examples illustrate the proposed method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 17-28
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems
Autorzy:
Si, Xindong
Yang, Hongli
Ivanov, Ivan G.
Powiązania:
https://bibliotekanauki.pl/articles/1838194.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fractional order nonlinear system
constrained regulation
positively invariant set
linear programming
układ nieliniowy
zbiór dodatnio niezmienny
programowanie liniowe
Opis:
The constrained regulation problem (CRP) for fractional-order nonlinear continuous-time systems is investigated. New existence conditions of a linear feedback control law for a class of fractional-order nonlinear continuous-time systems under constraints are proposed. A computation method for solving the CRP for fractional-order nonlinear systems is also presented. Using the comparison principle and positively invariant set theory, conditions guaranteeing positive invariance of a polyhedron for fractional-order nonlinear systems are established. A linear feedback controller model and the corresponding algorithm of the CRP for fractional nonlinear systems are also proposed by using the obtained conditions. The presented model of the CRP is formulated as a linear programming problem, which can be easily implemented from a computational point of view. Numerical examples illustrate the proposed method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 17-28
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems
Autorzy:
Si, Xindong
Yang, Hongli
Ivanov, Ivan G.
Powiązania:
https://bibliotekanauki.pl/articles/1838196.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fractional order nonlinear system
constrained regulation
positively invariant set
linear programming
układ nieliniowy
zbiór dodatnio niezmienny
programowanie liniowe
Opis:
The constrained regulation problem (CRP) for fractional-order nonlinear continuous-time systems is investigated. New existence conditions of a linear feedback control law for a class of fractional-order nonlinear continuous-time systems under constraints are proposed. A computation method for solving the CRP for fractional-order nonlinear systems is also presented. Using the comparison principle and positively invariant set theory, conditions guaranteeing positive invariance of a polyhedron for fractional-order nonlinear systems are established. A linear feedback controller model and the corresponding algorithm of the CRP for fractional nonlinear systems are also proposed by using the obtained conditions. The presented model of the CRP is formulated as a linear programming problem, which can be easily implemented from a computational point of view. Numerical examples illustrate the proposed method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 1; 17-28
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł

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