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- Abdallah, N., et al.
(author)
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Hilbert Functions and Jordan Type of Perazzo Artinian Algebras
- 2024
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In: Springer INdAM Series. - : Springer-Verlag Italia s.r.l.. ; , s. 59-80
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Book chapter (other academic/artistic)abstract
- We study Hilbert functions, Lefschetz properties, and Jordan type of Artinian Gorenstein algebras associated to Perazzo hypersurfaces in projective space. The main focus lies on Perazzo threefolds, for which we prove that the Hilbert functions are always unimodal. Further we prove that the Hilbert function determines whether the algebra is weak Lefschetz, and we characterize those Hilbert functions for which the weak Lefschetz property holds. By example, we verify that the Hilbert functions of Perazzo fourfolds are not always unimodal. In the particular case of Perazzo threefolds with the smallest possible Hilbert function, we give a description of the possible Jordan types for multiplication by any linear form.
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12. |
- Abdallah, Nancy, et al.
(author)
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Hilbert Functions and Jordan Type of Perazzo Artinian Algebras
- 2024
-
In: Springer INdAM Series. - : Springer-Verlag Italia s.r.l.. ; , s. 59-80
-
Book chapter (other academic/artistic)abstract
- We study Hilbert functions, Lefschetz properties, and Jordan type of Artinian Gorenstein algebras associated to Perazzo hypersurfaces in projective space. The main focus lies on Perazzo threefolds, for which we prove that the Hilbert functions are always unimodal. Further we prove that the Hilbert function determines whether the algebra is weak Lefschetz, and we characterize those Hilbert functions for which the weak Lefschetz property holds. By example, we verify that the Hilbert functions of Perazzo fourfolds are not always unimodal. In the particular case of Perazzo threefolds with the smallest possible Hilbert function, we give a description of the possible Jordan types for multiplication by any linear form.
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15. |
- Abdi, Somayeh, et al.
(author)
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Task Offloading in Edge-cloud Computing using a Q-Learning Algorithm
- 2024
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In: International Conference on Cloud Computing and Services Science, CLOSER - Proceedings. - : Science and Technology Publications, Lda. - 9789897587016 ; , s. 159-166
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Conference paper (other academic/artistic)abstract
- Task offloading is a prominent problem in edge−cloud computing, as it aims to utilize the limited capacityof fog servers and cloud resources to satisfy the QoS requirements of tasks, such as meeting their deadlines.This paper formulates the task offloading problem as a nonlinear mathematical programming model to maximizethe number of independent IoT tasks that meet their deadlines and to minimize the deadline violationtime of tasks that cannot meet their deadlines. This paper proposes two Q-learning algorithms to solve theformulated problem. The performance of the proposed algorithms is experimentally evaluated with respect toseveral algorithms. The evaluation results demonstrate that the proposed Q-learning algorithms perform wellin meeting task deadlines and reducing the total deadline violation time.
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17. |
- Abelli, Björn
(author)
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Directing and Enacting the Information System
- 2007
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In: Advances in Information Systems Development - New Methods and Practice for the Networked Society.. - Boston, MA : Springer US. - 9780387708010 ; , s. 13-23
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Book chapter (other academic/artistic)
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20. |
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