Results 21 to 30 of about 42,373 (259)

Lower bounds for Estrada Index [PDF]

Publications de l'Institut Mathematique, 2008
If G is an (n,m)-graph whose spectrum consists of the numbers ?1, ?2, . . . , ?n, then its Estrada index is EE(G) = ?n i=1 e?i . We establish lower bounds for EE(G) in terms of n and m.
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Analytic vector-functions in the unit ball having bounded $\mathbf{L}$-index in joint variables

Karpatsʹkì Matematičnì Publìkacìï, 2019
In this paper, we consider a class of vector-functions, which are analytic in the unit ball. For this class of functions there is introduced a concept of boundedness of $\mathbf{L}$-index in joint variables, where $\mathbf{L}=(l_1,l_2): \mathbb{B}^2\to ...
V.P. Baksa
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On semiprime rings of bounded index [PDF]

Proceedings of the American Mathematical Society, 1982
A ring R R is of bounded index (of nilpotency) if there is an integer
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Number Line Tasks and Their Relation to Arithmetics in Second to Fourth Graders

Journal of Numerical Cognition, 2021
Considering the importance of mathematical knowledge for STEM careers, we aimed to better understand the cognitive mechanisms underlying the commonly observed relation between number line estimations (NLEs) and arithmetics.
Carrie Georges, Christine Schiltz
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Non-homogeneous directional equations: Slice solutions belonging to functions of bounded $L$-index in the unit ball [PDF]

Mathematica Bohemica
For a given direction $ b\in\mathbb{C}^n\setminus\{0\}$ we study non-homogeneous directional linear higher-order equations whose all coefficients belong to a class of joint continuous functions which are holomorphic on intersection of all directional ...
Andriy Bandura, Tetyana Salo, Oleh Skaskiv   +2 more
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Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes

Demonstratio Mathematica, 2019
We give negative answer to the question of Bordulyak and Sheremeta for more general classes of entire functions than in the original formulation: Does index boundedness in joint variables for an entire function F imply index boundedness in the variable ...
Bandura Andriy, Skaskiv Oleh
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Some special characterisations of Fredholm operators in Banach space

Bibechana, 2014
A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays
Mahendra Shahi
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Bounding the Mostar index

Discrete Mathematics
Došlić et al. defined the Mostar index of a graph $G$ as $Mo(G)=\sum\limits_{uv\in E(G)}|n_G(u,v)-n_G(v,u)|$, where, for an edge $uv$ of $G$, the term $n_G(u,v)$ denotes the number of vertices of $G$ that have a smaller distance in $G$ to $u$ than to $v$. They conjectured that $Mo(G)\leq 0.\overline{148}n^3$ for every graph $G$ of order $n$.
Stefko Miklavic, Johannes Pardey, Dieter Rautenbach, Florian Werner 0003   +3 more
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Bounds on the Balaban Index

Croatica Chemica Acta, 2008
The Balaban index is one of the widely used topological indices for QSAR and QSPR studies. In this paper, tight lower and upper bounds are reported for the Balaban index.
Zhou, Bo, Trinajstić, Nenad
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The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators

Abstract and Applied Analysis, 2007
The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators.
A. Niknam, K. Sharifi
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