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    Wyświetlanie 1-15 z 15
    Tytuł:
    Noncommutative 3-sphere as an example of noncommutative contact algebras
    Autorzy:
    Omori, Hideki
    Miyazaki, Naoya
    Yoshioka, Akira
    Maeda, Yoshiaki
    Powiązania:
    https://bibliotekanauki.pl/articles/1342805.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Opis:
    The notion of deformation quantization was introduced by F.Bayen, M.Flato et al. in [1]. The basic idea is to formally deform the pointwise commutative multiplication in the space of smooth functions $C^∞(M)$ on a symplectic manifold $M$ to a noncommutative associative multiplication, whose first order commutator is proportional to the Poisson bracket. It is of interest to compute this quantization for naturally occuring cases. In this paper, we discuss deformations of contact algebras and give a definition of deformations of algebras slightly different from the deformation quantization of Poisson algebras. Since the standard 3-sphere is a basic example of a contact manifold, we study the properties of the noncommutative 3-sphere obtained by this reduction. We remark that the parameter of the deformation of a contact algebra is not in the center, while the deformation quantization of Poisson algebras is given by algebras of formal power series of functions on a manifold; in particular, the deformation parameter is a central element. Details and related results will appear in [6] and [7].
    Źródło:
    Banach Center Publications; 1997, 40, 1; 329-334
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Closure for spanning trees and distant area
    Autorzy:
    Fujisawa, Jun
    Saito, Akira
    Schiermeyer, Ingo
    Powiązania:
    https://bibliotekanauki.pl/articles/743839.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    spanning tree
    k-ended tree
    closure
    Opis:
    A k-ended tree is a tree with at most k endvertices. Broersma and Tuinstra [3] have proved that for k ≥ 2 and for a pair of nonadjacent vertices u, v in a graph G of order n with $deg_G u + deg_G v ≥ n-1$, G has a spanning k-ended tree if and only if G+uv has a spanning k-ended tree. The distant area for u and v is the subgraph induced by the set of vertices that are not adjacent with u or v. We investigate the relationship between the condition on $deg_G u + deg_G v$ and the structure of the distant area for u and v. We prove that if the distant area contains $K_r$, we can relax the lower bound of $deg_G u + deg_G v$ from n-1 to n-r. And if the distant area itself is a complete graph and G is 2-connected, we can entirely remove the degree sum condition.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2011, 31, 1; 143-159
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    2-factors in claw-free graphs
    Autorzy:
    Chen, Guantao
    Faudree, Jill
    Gould, Ronald
    Saito, Akira
    Powiązania:
    https://bibliotekanauki.pl/articles/743756.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    claw-free
    forbidden subgraphs
    2-factors
    cycles
    Opis:
    We consider the question of the range of the number of cycles possible in a 2-factor of a 2-connected claw-free graph with sufficiently high minimum degree. (By claw-free we mean the graph has no induced $K_{1,3}$.) In particular, we show that for such a graph G of order n ≥ 51 with δ(G) ≥ (n-2)/3, G contains a 2-factor with exactly k cycles, for 1 ≤ k ≤ (n-24)/3. We also show that this result is sharp in the sense that if we lower δ(G), we cannot obtain the full range of values for k.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2000, 20, 2; 165-172
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the global solvability of linear partial differential equations with constant coefficients in the space of real analytic functions
    Autorzy:
    Kaneko, Akira
    Powiązania:
    https://bibliotekanauki.pl/articles/1359450.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Opis:
    This article surveys results on the global surjectivity of linear partial differential operators with constant coefficients on the space of real analytic functions. Some new results are also included.
    Źródło:
    Banach Center Publications; 1996, 33, 1; 149-160
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Liouville type theorem for solutions of linear partial differential equations with constant coefficients
    Autorzy:
    Kaneko, Akira
    Powiązania:
    https://bibliotekanauki.pl/articles/1207971.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    quasianalytic growth
    ultradistribution
    infra-exponential growth
    Liouville theorem
    Opis:
    We discuss existence of global solutions of moderate growth to a linear partial differential equation with constant coefficients whose total symbol P(ξ) has the origin as its only real zero. It is well known that for such equations, global solutions tempered in the sense of Schwartz reduce to polynomials. This is a generalization of the classical Liouville theorem in the theory of functions. In our former work we showed that for infra-exponential growth the corresponding assertion is true if and only if the complex zeros of P(ξ) are absent in a strip at infinity. In this article we discuss the growth in between and present a characterization employing the space of ultradistributions corresponding to the growth.
    Źródło:
    Annales Polonici Mathematici; 2000, 74, 1; 143-159
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Convergence of formal solutions of first order singular nonlinear partial differential equations in the complex domain
    Autorzy:
    Miyake, Masatake
    Shirai, Akira
    Powiązania:
    https://bibliotekanauki.pl/articles/1207974.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    singular equation
    formal solution
    Opis:
    We study the convergence or divergence of formal (power series) solutions of first order nonlinear partial differential equations
       (SE) f(x,u,D_x u) = 0 with u(0)=0.
    Here the function f(x,u,ξ) is defined and holomorphic in a neighbourhood of a point $(0,0,ξ^{0}) ∈ ℂ^{n}_{x} × ℂ_{u} × ℂ^{n}_{ξ} (ξ^{0} = D_{x}u(0))$ and $f(0,0,ξ^{0}) = 0$. The equation (SE) is said to be singular if f(0,0,ξ) ≡ 0 $(ξ ∈ ℂ^{n})$. The criterion of convergence of a formal solution $u(x) = ∑_{|α| ≥ 1} u_{α}x^{α}$ of (SE) is given by a generalized form of the Poincaré condition which depends on each formal solution. In the case where the formal solution diverges a precise rate of divergence or the formal Gevrey order is specified which can be interpreted in terms of the Newton polygon as in the case of linear equations but for nonlinear equations it depends on the individual formal solution.
    Źródło:
    Annales Polonici Mathematici; 2000, 74, 1; 215-228
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Chvátal-Erdős condition and 2-factors with a specified number of components
    Autorzy:
    Chen, Guantao
    Gould, Ronald
    Kawarabayashi, Ken-ichi
    Ota, Katsuhiro
    Saito, Akira
    Schiermeyer, Ingo
    Powiązania:
    https://bibliotekanauki.pl/articles/743407.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    Chvátal-Erdös condition
    2-factor
    hamiltonian cycle
    Ramsey number
    Opis:
    Let G be a 2-connected graph of order n satisfying α(G) = a ≤ κ(G), where α(G) and κ(G) are the independence number and the connectivity of G, respectively, and let r(m,n) denote the Ramsey number. The well-known Chvátal-Erdös Theorem states that G has a hamiltonian cycle. In this paper, we extend this theorem, and prove that G has a 2-factor with a specified number of components if n is sufficiently large. More precisely, we prove that (1) if n ≥ k·r(a+4, a+1), then G has a 2-factor with k components, and (2) if n ≥ r(2a+3, a+1)+3(k-1), then G has a 2-factor with k components such that all components but one have order three.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2007, 27, 3; 401-407
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Ryjáček Closure and a Forbidden Subgraph
    Autorzy:
    Saito, Akira
    Xiong, Liming
    Powiązania:
    https://bibliotekanauki.pl/articles/31340869.pdf
    Data publikacji:
    2016-08-01
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    closure
    claw-free graph
    Hamiltonian graph
    perfect matching
    traceable graph
    Opis:
    The Ryjáček closure is a powerful tool in the study of Hamiltonian properties of claw-free graphs. Because of its usefulness, we may hope to use it in the classes of graphs defined by another forbidden subgraph. In this note, we give a negative answer to this hope, and show that the claw is the only forbidden subgraph that produces non-trivial results on Hamiltonicity by the use of the Ryjáček closure.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2016, 36, 3; 621-628
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Representing Split Graphs by Words
    Autorzy:
    Chen, Herman Z.Q.
    Kitaev, Sergey
    Saito, Akira
    Powiązania:
    https://bibliotekanauki.pl/articles/32222537.pdf
    Data publikacji:
    2022-11-01
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    split graph
    word-representability
    semi-transitive orientation
    Opis:
    There is a long line of research in the literature dedicated to word-representable graphs, which generalize several important classes of graphs. However, not much is known about word-representability of split graphs, another important class of graphs. In this paper, we show that threshold graphs, a subclass of split graphs, are word-representable. Further, we prove a number of general theorems on word-representable split graphs, and use them to characterize computationally such graphs with cliques of size 5 in terms of nine forbidden subgraphs, thus extending the known characterization for word-representable split graphs with cliques of size 4. Moreover, we use split graphs, and also provide an alternative solution, to show that gluing two word-representable graphs in any clique of size at least 2 may, or may not, result in a word-representable graph. The two surprisingly simple solutions provided by us answer a question that was open for about ten years.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2022, 42, 4; 1263-1280
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Between exercising of public powers and economic activity. The latest findings on the notion of entrepreneur made in the process of judicial review of the decision of the President of the Office of Competition and Consumer Protection
    Autorzy:
    JARECKI, Stefan Akira
    Powiązania:
    https://bibliotekanauki.pl/articles/1367964.pdf
    Data publikacji:
    2017
    Wydawca:
    Wyższa Szkoła Bankowa we Wrocławiu
    Tematy:
    economic activity
    undertaking (entrepreneur)
    imperium
    dominium
    National Health Fund
    Opis:
    There is no doubt that public authorities may be directly or indirectly involved in economic activity. A traditional way of distinguish state activity which is not subject to the rules of the market is to decide when the state acts as public authority. In case of state activity two category of situations should be distinguished: these where the state is engaged in an economic activity (sphere of dominium) and these when the state acts by exercising of public powers (sphere of imperium). In the opinion of the author of the article, the distinction between imperium and dominium is still relevant. According to the Competition and Consumer Protection Act of February 16, 2007, an entrepreneur is inter alia natural and legal person, as well as an organisational unit without a legal status to which legislation grants legal capacity, organising or providing public utility services which do not constitute economic activity in the meaning of the provisions on freedom of economic activity. The President of the Office of Competition and Consumer Protection found that public authorities exercising their administrative powers (sphere of imperium) may be classified as entrepreneurs. In the recent decisions which were subject of judicial review the President of UOKiK decided that the National Health Fund – a state authority responsible for organization and management of health care services in Poland – is an entrepreneur in the meaning of the Polish law (act on competition and consumer protection). The aim of this article is to answer the question whether competition rules should be applied to the state activity in the imperium sphere. This article will focus on the notion of an entrepreneur (undertaking) in polish and EU law in the context of the activity of the state.
    Źródło:
    Central and Eastern European Journal of Management and Economics (CEEJME); 2017, No. 2; 115-130
    2353-9119
    Pojawia się w:
    Central and Eastern European Journal of Management and Economics (CEEJME)
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The respiratory effects of toner exposure according to long-term occupational toner handling history: A longitudinal analysis, 2004–2013
    Autorzy:
    Hasegawa, Masayuki
    Kitamura, Hiroko
    Ikegami, Kazunori
    Masuda, Masashi
    Kakiuchi, Noriaki
    Matsushita, Tetsuhiro
    Kuga, Hiroaki
    Uchiyama, Tetsuro
    Kurogi, Kazushiro
    Mizuno, Mitsuhito
    Ogami, Akira
    Higashi, Toshiaki
    Powiązania:
    https://bibliotekanauki.pl/articles/2162039.pdf
    Data publikacji:
    2018-12-20
    Wydawca:
    Instytut Medycyny Pracy im. prof. dra Jerzego Nofera w Łodzi
    Tematy:
    respiratory disease
    printer
    toner dust
    longitudinal analyses
    respiratory effects
    occupational exposure
    Opis:
    Objectives This report shows the relationship between toner exposure and respiratory effects for individuals with a longterm occupational toner-handling history, from 2004 to 2013. Material and Methods Authors studied 752 Japanese male workers in toner handling workshops. A total of 673 men who participated in an annual monitoring survey were analyzed in this study. The following monitoring was performed in the same season each year: personal exposure measurements, biological markers, respiratory function tests, a chest X-ray, chronic respiratory symptoms and incidences of respiratory diseases. To evaluate the toner exposure effect, the exposure categories suitable for each evaluation index were established. Results For those with an occupational toner-handling history, the mean occupational toner-handling period was 14.36 years (standard deviation = 6.62); one participant had 35 years of exposure, which was the longest and one participant had 1 year of exposure which was the shortest. There were no statistically significant differences in the rate of change of respiratory function tests. An ANOVA conducted on blood and urine test results showed that statistically significantly differences were observed for a few items but all the values were very low and within the standard range. Conclusions Authors conducted a 10-year ongoing study, but no obvious negative influences on health were attributed to toner exposure. In a work environment where adequate administrative controls are in place, personal toner exposure levels may be expected to be low, with no adverse effects on human health. Int J Occup Med Environ Health 2018;31(6):809–822
    Źródło:
    International Journal of Occupational Medicine and Environmental Health; 2018, 31, 6; 809-822
    1232-1087
    1896-494X
    Pojawia się w:
    International Journal of Occupational Medicine and Environmental Health
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Expression of a constitutively active mutant of heat shock factor 1 under the control of testis-specific hst70 gene promoter in transgenic mice induces degeneration of seminiferous epithelium.
    Autorzy:
    Widłak, Wiesława
    Benedyk, Konrad
    Vydra, Natallia
    Głowala, Magdalena
    Ścieglińska, Dorota
    Małusecka, Ewa
    Nakai, Akira
    Krawczyk, Zdzisław
    Powiązania:
    https://bibliotekanauki.pl/articles/1043633.pdf
    Data publikacji:
    2003
    Wydawca:
    Polskie Towarzystwo Biochemiczne
    Tematy:
    spermatogenesis
    hst70 heat shock gene
    transgenic mouse
    apoptosis
    HSF1
    Opis:
    Heat shock activates in somatic cells a set of genes encoding heat shock proteins which function as molecular chaperones. The basic mechanism by which these genes are activated is the interaction of the specific transcription factor HSF1 with a regulatory DNA sequence called heat shock element (HSE). In higher eukaryotes HSF1 is present in unstressed cells as inactive monomers which, in response to cellular stress, aggregate into transcriptionally competent homotrimers. In the present paper we showed that the expression of a transgene encoding mutated constitutively active HSF1 placed under the control of a spermatocyte-specific promoter derived from the hst70 gene severely affects spermatogenesis. We found the testes of transgenic mice to be significantly smaller than those of wild-type males and histological analysis showed massive degeneration of the seminiferous epithelium. The lumen of tubules was devoid of spermatids and spermatozoa and using the TUNEL method we demonstrated a high rate of spermatocyte apoptosis. The molecular mechanism by which constitutively active HSF1 arrests spermatogenesis is not known so far. One can assume that HSF1 can either induce or repress so far unknown target genes involved in germ cell apoptosis.
    Źródło:
    Acta Biochimica Polonica; 2003, 50, 2; 535-541
    0001-527X
    Pojawia się w:
    Acta Biochimica Polonica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-15 z 15

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