scholarly journals Correction to: Proper affine actions: a sufficient criterion

Author(s):  
Ilia Smilga



2008 ◽  
Vol 56 (S 1) ◽  
Author(s):  
J Müller ◽  
M Brodde ◽  
P Nüsser ◽  
J Müller ◽  
K Graichen ◽  
...  




Author(s):  
KÁLMÁN PALÁGYI

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.





2015 ◽  
Vol 58 (2) ◽  
pp. 233-240
Author(s):  
Jeffrey Bergen

AbstractWe classify the affine actions of Uq(sl(2)) on commutative polynomial rings in m ≥ 1 variables. We show that, up to scalar multiplication, there are two possible actions. In addition, for each action, the subring of invariants is a polynomial ring in either m or m−1 variables, depending upon whether q is or is not a root of 1.



2003 ◽  
Vol 359 (1-3) ◽  
pp. 101-111 ◽  
Author(s):  
Tine De Cat ◽  
Karel Dekimpe ◽  
Paul Igodt


2021 ◽  
Vol 5 (2) ◽  
Author(s):  
Rusli Rusli

This research is motivated by the limited learning activities that must be done remotely and online, there are still many teachers who have not been able to make ICT-based learning media, especially power points, and power point making training can be done offline and online so that in-house training is believed to be helpful. teachers in improving skills in making power points. This research is a classroom action research conducted at SDN 021 Pendekar Bahan from August to September 2020. The instruments used were the observation and interview sheets. The results of the study showed an increase in the skills of teachers in making power points with an average cycle I of 60.85 which is a sufficient criterion, in cycle II it reached 75.42 with good criteria. The conclusion based on the research results is that through in-house training can improve the skills of teachers in making power point learning media.



2020 ◽  
Vol 18 (04) ◽  
pp. 2050014
Author(s):  
Hiroyuki Ozeki ◽  
Satoshi Ishizaka

The characterization of the extremal points of the set of quantum correlations has attracted wide interest. In the simplest bipartite Bell scenario, a necessary and sufficient criterion for identifying extremal correlations has recently been conjectured, but extremality of tripartite correlations is not well known. In this study, we analyze tripartite extremal correlations in terms of the conjectured bipartite extremal criterion, and we demonstrate that the bipartite part of some extremal correlations satisfies the bipartite criterion, even though they violate Svetlichny’s inequality, and therefore are considered (stronger) genuine tripartite nonlocal correlations. This phenomenon arises from the fact that the conjectured extremal criterion is automatically satisfied when the violation of the Clauser–Horne–Shimony–Holt (CHSH) inequality exceeds a certain threshold, the value of which is given by the maximum CHSH violation at the edges of the probability space. This also suggests the possibility that the extremality of bipartite correlations can be certified by verifying whether the CHSH violation exceeds the threshold.



2015 ◽  
Vol 22 (3) ◽  
pp. 429-446
Author(s):  
Ionut Chifan ◽  
Thomas Sinclair


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