Results 51 to 60 of about 1,589,926 (279)
ON $I$-STATISTICALLY PRE-CAUCHY SEQUENCES
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Das, Pratulananda, Savas, Ekrem
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Lacunary -Convergence and Lacunary -Cauchy Sequence [PDF]
Yapılan bu çalışmada, öncelikle, lacunary -yakınsaklık kavramı tanımlandı ve lacunary -yakınsaklık kavramı ile lacunary -yakınsaklık kavramı arasındaki ilişkiler incelendi.
Akın, Nimet +2 more
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In this paper we introduce a new definition of a fuzzy normed space (to the best of our knowledge) then the related concepts such as fuzzy continuous, convergence of sequence of fuzzy points and Cauchy sequence of fuzzy points are discussed in details.
Jehad R. Kider
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Completeness results for metrized rings and lattices [PDF]
The Boolean ring $B$ of measurable subsets of the unit interval, modulo sets of measure zero, has proper radical ideals (for example, $\{0\})$ that are closed under the natural metric, but has no prime ideal closed under that metric; hence closed radical
George Bergman
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Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces
The fixed point theory remains the most important and preferred topic studied in mathematical analysis. This study discusses sufficient conditions to prove a unique fixed point in quasi-αb-metric spaces with cyclic mapping.
Ainun Sukmawati Al Idrus +4 more
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On downward half Cauchy sequences
Abstract In this paper, we introduce and investigate the concepts of down continuity and down compactness. A real valued function f on a subset E of R, the set of real numbers is down continuous if it preserves downward half Cauchy sequences. It turns out that the set of down continuous functions is a proper subset of the set of continuous functions.
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A new class of sulfur‐free, oxygen‐bridged dibenzofuran‐based polymers is developed for ultrahigh‐refractive‐index applications. The rigid π‐extended architecture and enhanced molecular polarizability enable exceptional optical performance, combining refractive indices up to 1.848 with high Abbe numbers and full visible transparency. This work offers a
Hend A. Hegazy +5 more
wiley +1 more source
On $A$-statistical convergence and $A$-statistical Cauchy via ideal
In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{\ast }}$-statistical convergence and find under certain conditions, that it is ...
O.H. Edely, M. Mursaleen
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WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR p-EVOLUTION SYSTEMS OF PSEUDO-DIFFERENTIAL OPERATORS [PDF]
We study p-evolution pseudo-differential systems of the first order with coefficients in (t,x) and real characteristics. We find sufficient conditions for the well-posedness of the Cauchy problem in H∞.
Ascanelli, Alessia, Boiti, Chiara
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Organic artificial neurons couple mechanical deformation and ionic environments through nonlinear mechano‐electrochemical dynamics. Mechanical strain and electrolyte concentration reshape their nonlinear electrical characteristics, programming excitatory or inhibitory spiking responses that mimic mechanosensitive biological neurons and enable ...
Rassen Boukraa +4 more
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