Sufficient criterion for absence of spectral singularities for a non-self-adjoint Schr�dinger operator in terms of the potential

1981 ◽  
Vol 22 (1) ◽  
pp. 111-116 ◽  
Author(s):  
I. P. Syroid
Keyword(s):  
Sufficient Criterion ◽  
Spectral Singularities

A low hemolysis rate is not a sufficient criterion for the qualification of rotary blood pumps

2008 ◽  
Vol 56 (S 1) ◽  
Author(s):  
J Müller ◽  
M Brodde ◽  
P Nüsser ◽  
J Müller ◽  
K Graichen ◽  
...  
Keyword(s):  
Sufficient Criterion ◽  
Blood Pumps ◽  
Rotary Blood Pumps ◽  
Hemolysis Rate

scholarly journals A universal form of localized complex potentials with spectral singularities

2020 ◽  
Vol 22 (1) ◽  
pp. 013057 ◽  
Author(s):  
Dmitry A Zezyulin ◽  
Vladimir V Konotop
Keyword(s):  
Complex Potentials ◽  
Universal Form ◽  
Spectral Singularities

scholarly journals Spectral singularities inPT-symmetric periodic finite-gap systems

2012 ◽  
Vol 86 (8) ◽  
Author(s):  
Francisco Correa ◽  
Mikhail S. Plyushchay
Keyword(s):  
Spectral Singularities

EQUIVALENT SEQUENTIAL AND PARALLEL REDUCTIONS IN ARBITRARY BINARY PICTURES

2014 ◽  
Vol 28 (07) ◽  
pp. 1460009 ◽  
Author(s):  
KÁLMÁN PALÁGYI
Keyword(s):  
Single Point ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Sufficient Criterion ◽  
Translation Invariant ◽  
Necessary And Sufficient

A reduction transforms a binary picture only by changing some black points to white ones, which is referred to as deletion. Sequential reductions traverse the black points of a picture, and consider a single point for possible deletion, while parallel reductions can delete a set of black points simultaneously. Two reductions are called equivalent if they produce the same result for each input picture. A deletion rule is said to be equivalent if it yields a pair of equivalent parallel and sequential reductions. This paper introduces a class of equivalent deletion rules that allows us to establish a new sufficient condition for topology-preserving parallel reductions in arbitrary binary pictures. In addition we present a method of verifying that a deletion rule given by matching templates is equivalent, a necessary and sufficient condition for order-independent deletion rules, and a sufficient criterion for order-independent and translation-invariant parallel subfield-based algorithms.

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