On the coefficients of trigonometric null-series

1960 ◽  
pp. 289-310 ◽  
Author(s):  
O. S. Ivašev-Musatov
Keyword(s):  
Null Series

scholarly journals A null series with small anti-analytic part

2003 ◽  
Vol 336 (6) ◽  
pp. 475-478 ◽  
Author(s):  
Gady Kozma ◽  
Alexander Olevskiǐ
Keyword(s):  
Null Series

scholarly journals Maximal smoothness of the anti-analytic part of a trigonometric null series

2004 ◽  
Vol 338 (7) ◽  
pp. 515-520 ◽  
Author(s):  
Gady Kozma ◽  
Alexander Olevskiı̆
Keyword(s):  
Null Series

Countably multiple null series

2013 ◽  
Vol 280 (1) ◽  
pp. 280-291 ◽  
Author(s):  
N. N. Kholshchevnikova
Keyword(s):  
Null Series

scholarly journals Some New Sets of Sequences of Fuzzy Numbers with Respect to the Partial Metric

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Uğur Kadak ◽  
Muharrem Ozluk
Keyword(s):  
Bounded Variation ◽  
Level Sets ◽  
Fuzzy Numbers ◽  
Metric Spaces ◽  
Partial Ordering ◽  
Extension Principle ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Sequences Of Fuzzy Numbers ◽  
Null Series

In this paper, we essentially deal with Köthe-Toeplitz duals of fuzzy level sets defined using a partial metric. Since the utilization of Zadeh’s extension principle is quite difficult in practice, we prefer the idea of level sets in order to construct some classical notions. In this paper, we present the sets of bounded, convergent, and null series and the set of sequences of bounded variation of fuzzy level sets, based on the partial metric. We examine the relationships between these sets and their classical forms and give some properties including definitions, propositions, and various kinds of partial metric spaces of fuzzy level sets. Furthermore, we study some of their properties like completeness and duality. Finally, we obtain the Köthe-Toeplitz duals of fuzzy level sets with respect to the partial metric based on a partial ordering.

scholarly journals Simulation and Analysis of Fault Characteristics of Distributed Solar Generation

2020 ◽  
Vol 9 (8) ◽  
pp. 305-310
Keyword(s):  
Power Supply ◽  
Fault Analysis ◽  
Current Loss ◽  
Fault Features ◽  
Inverter Power Supply ◽  
Sequence Components ◽  
Null Series ◽  
Solar Generation ◽  
Research Studies

Inverter power supply sources (DERs) are characterized by low current loss and zero negative and null series currents. Comprehension of the fault features of DER is important for fault analysis and safe relay setup. While DER modelling work has been abundant, there have been few research studies in DER fault behaviours. This paper looks at past Dominion Energy fault events. Fault scale, angle, and sequence components are evaluated to illustrate the possible difference between real DER response and previous understandings.

scholarly journals Null-series on the complex sphere

2012 ◽  
Vol 164 (10) ◽  
pp. 1427-1442
Author(s):  
Evgeny Abakumov ◽  
Evgueni Doubtsov
Keyword(s):  
Complex Sphere ◽  
Null Series

A Class of Null Series

1927 ◽  
Vol s2-26 (1) ◽  
pp. 518-530
Author(s):  
G. Temple
Keyword(s):  
Null Series

Trigonometric, Walsh, and Haar null-series

1996 ◽  
Vol 187 (3) ◽  
pp. 413-450
Author(s):  
Sh T Tetunashvili
Keyword(s):  
Null Series
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