Results 11 to 20 of about 119,900,969 (241)
Sufficient conditions of boundedness of L-index in joint variables [PDF]
, 2015 A. I. Bandura, M. T. Bordulyak, O. B. Skaskiv. Sufficient conditions of boundedness of L-index in joint variables, Mat. Stud. 45 (2016), 12–26. A concept of boundedness of L-index in joint variables (see in Bordulyak M.T.
Andriy Ivanovych Bandura +2 more
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Some criteria of boundedness of the L-index in direction for slice holomorphic functions of several complex variables [PDF]
Journal of Mathematical Sciences, 2019 We investigate the slice holomorphic functions of several complex variables that have a bounded L-index in some direction and are entire on every slice {z⁰ + tb : t ∈ C} for every z⁰ ∈ Cⁿ and for a given direction b ∈ Cⁿ \ {0}.
Andriy Ivanovych Bandura, O. Skaskiv
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Free bounded archimedean l -algebras [PDF]
, 2021 We show that free objects on sets do not exist in the category bal of bounded archimedean l-algebras. On the other hand, we introduce the category of weighted sets and prove that free objects on weighted sets do exist in bal.
Bezhanishvili G. +2 more
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ON POSITIVE CONTINUOUS FUNCTIONS DEFINED IN THE UNIT POLYDISC
PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY Number, 2023 In theory of holomorphic functions having bounded L-index in a direction b an auxiliary class of positive continuous functions L is important to describe properties of the holomorphic functions by some inequalities andestimates containing the function L.
Andriy Ivanovych Bandura, P. Kurliak
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Composition of entire and analytic functions in the unit ball
Carpathian Mathematical Publications, 2022 In this paper, we investigate a composition of entire function of several complex variables and analytic function in the unit ball. We modified early known results with conditions providing equivalence of boundedness of $L$-index in a direction for such ...
Andriy Ivanovych Bandura +2 more
semanticscholar +1 more source
A Bounded Index for Cluster Validity [PDF]
, 2008 . Clustering is one of the most well known types of unsupervised learning. Evaluating the quality of results and determining the number of clusters in data is an important issue.
Benny Raphael +5 more
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PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY Number, 2019 Our objects of investigations are sum and product of holomorphic function of bounded index. There are established sufficient conditions providing the boundedness of L-index in the same direction for these operations.
Andriy Ivanovych Bandura, O. Skaskiv
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Research in MathematicsFor functions analytic in the unit polydisc with bounded $L$-index in a direction there are presented three various results.The product theorem specifies that the product of analytic functions of bounded $L$-index in direction belongs to the same class ...
Andriy Ivanovych Bandura +4 more
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Scope-bounded pushdown languages [PDF]
, 2014 We study the formal language theory of multistack push-down automata (Mpa) restricted to computations where a symbol can be popped from a stack S only if it was pushed within a bounded number of contexts of S (scoped Mpa).
Salvatore La Torre +5 more
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Growth estimates for analytic functions in the unit polydisc with bounded $L$-index in direction
Matematychni StudiiThis paper investigates the growth properties of analytic functions defined in the unit polydisc of $\mathbb{C}^n$ having bounded $L$-index in a direction.
Andriy Ivanovych Bandura, Ya. V. Batsala
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