Trigonometric, Walsh, and Haar null-series

1996 ◽  
Vol 187 (3) ◽  
pp. 413-450
Author(s):  
Sh T Tetunashvili
Keyword(s):  
2003 ◽  
Vol 336 (6) ◽  
pp. 475-478 ◽  
Author(s):  
Gady Kozma ◽  
Alexander Olevskiǐ
Keyword(s):  

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

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

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Uğur Kadak ◽  
Muharrem Ozluk

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.


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.


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

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

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