In this paper we characterize totally umbilic hypersurfaces in a space form by a property of the extrinsic shape of circles on hypersurfaces. This characterization corresponds to characterizations of isoparametric hypersurfaces in a space form by properties of the extrinsic shape of geodesics due to Kimura-Maeda.
This article presents a study of the state of vegetative balance and prognostic possibilities of quantitative parameters of functional activity of VNS to estimate a state of bodily adaptive reserves in children with severe BA. Bronchial asthma, being one of the most common chronic diseases in childhood, requires further research into predisposing and causally-significant factors, mechanisms of pathogenesis and peculiarities of a clinical course, improvement of methods of diagnostics, treatment, and prevention. Great importance in the development of bronchial asthma in children is given to genetically-fixed functional insufficiency of barrier tissues of the respiratory system, increased ability to synthesize allergic antibodies and produce certain cytokines, high bronchopulmonary sensitivity to mediators of allergic inflammation, lowered sensitivity of 3g-adrenoreceptors to endogenous catecholamins, changes in immunologic responsiveness, and disorder of neuroendocrinal regulation of immune responses. Implementation of genetic predisposition to bronchial asthma development is promoted by influence of adverse environmental factors., Hurmatoy Khankeldieva, Ibrohim Alimjanov, Habiba Negmatshaeva, Mavjuda Abdullaeva, Temur Tojiboev, Marifat Ganieva, and Literatura
The concept of a 0-distributive poset is introduced. It is shown that a section semicomplemented poset is distributive if and only if it is 0-distributive. It is also proved that every pseudocomplemented poset is 0-distributive. Further, 0-distributive posets are characterized in terms of their ideal lattices.
We present three characterizations of n-dimensional Archimedean copulas: algebraic, differential and diagonal. The first is due to Jouini and Clemen. We formulate it in a more general form, in terms of an n-variable operation derived from a binary operation. The second characterization is in terms of first order partial derivatives of the copula. The last characterization uses diagonal generators, which are "regular'' diagonal sections of copulas, enabling one to recover the copulas by means of an asymptotic representation.
In this paper we obtain two new characterizations of completeness of a normed space through the behaviour of its weakly unconditionally Cauchy series. We also prove that barrelledness of a normed space $X$ can be characterized through the behaviour of its weakly-$\ast $ unconditionally Cauchy series in $X^\ast $.
Let $R$ be a commutative ring and $\mathcal {C}$ a semidualizing $R$-module. We investigate the relations between $\mathcal {C}$-flat modules and $\mathcal {C}$-FP-injective modules and use these modules and their character modules to characterize some rings, including artinian, noetherian and coherent rings.
We investigate the structure and properties of $TL$-sub-semihypergroups, where $T$ is an arbitrary triangular norm on a given complete lattice $L$. We study its structure under the direct product and with respect to the fundamental relation. In particular, we consider $L=[0,1]$ and $T=\min $, and investigate the connection between $TL$-sub-semihypergroups and the probability space.
The 0-distributive semilattice is characterized in terms of semiideals, ideals and filters. Some sufficient conditions and some necessary conditions for 0-distributivity are obtained. Counterexamples are given to prove that certain conditions are not necessary and certain conditions are not sufficient.
We characterize totally ordered sets within the class of all ordered sets containing at least three-element chains using a simple relationship between their isotone transformations and the so called 2-, 3-, 4-endomorphisms which are introduced in the paper. Another characterization of totally ordered sets within the class of ordered sets of a locally finite height with at least four-element chains in terms of the regular semigroup theory is also given.