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Finitely stable racks and rack representations [PDF]
Communications in Algebra, 2018 We define a new class of racks, called finitely stable racks, which, to some extent, share various flavors with Abelian groups. Characterization of finitely stable Alexander quandles is established. Further, we study twisted rack dynamical systems, construct their cross-products, and introduce representation theory of racks and quandles.
Elhamdadi, Mohamed +1 more
openaire +3 more sources
Nihon Kikai Gakkai ronbunshu, 2019 To stably operate electronic equipment such as computers and networking devices is essential to the current information society. They should be stably operated even when they are being subjected to seismic excitations. The computers and other devices are
Keisuke KANANO +2 more
doaj +1 more source
The local integration of Leibniz algebras [PDF]
, 2012 This article gives a local answer to the coquecigrue problem. Hereby we mean the problem, formulated by J-L. Loday in \cite{LodayEns}, is that of finding a generalization of the Lie's third theorem for Leibniz algebra.
Covez, Simon
core +2 more sources
Explicit Constructions of MSR Codes for Clustered Distributed Storage: The Rack-Aware Storage Model [PDF]
IEEE Transactions on Information Theory, 2019 The paper is devoted to the problem of erasure coding in distributed storage. We consider a model of storage that assumes that nodes are organized into equally sized groups, called racks, that within each group the nodes can communicate freely without ...
Zitan Chen, A. Barg
semanticscholar +1 more source
Parameter Hub: a Rack-Scale Parameter Server for Distributed Deep Neural Network Training [PDF]
ACM Symposium on Cloud Computing, 2018 Distributed deep neural network (DDNN) training constitutes an increasingly important workload that frequently runs in the cloud. Larger DNN models and faster compute engines are shifting DDNN training bottlenecks from computation to communication.
Liang Luo +4 more
semanticscholar +1 more source
Lightweight Threshing Rack under Multisource Excitation Based on Modal Optimization Method
Advances in Materials Science and Engineering, 2020 Crawler rice combine harvester threshing rack excited by different frequencies of multiple working parts would cause strong vibration response. In this paper, the rack-type rice combine harvester threshing rack was taken as research objective, and then ...
Haotian Zhang +4 more
doaj +1 more source
The second Zolotarev case in the Erdös-Szegö solution to a Markov-type extremal problem of Schur
Journal of Numerical Analysis and Approximation Theory, 2017 Schur's [20] Markov-type extremal problem is to determine (i) \(M_n= \sup_{-1\leq \xi\leq 1}\sup_{P_n\in\mathbf{B}_{n,\xi,2}}(|P_n^{(1)}(\xi)| / n^2)\), where \(\mathbf{B}_{n,\xi,2}=\{P_n\in\mathbf{B}_n:P_n^{(2)}(\xi)=0\}\subset \mathbf{B}_n=\{P_n:|P_n ...
Heinz Joachim Rack
doaj +2 more sources
Locality-Aware Hybrid Coded MapReduce for Server-Rack Architecture
, 2017 MapReduce is a widely used framework for distributed computing. Data shuffling between the Map phase and Reduce phase of a job involves a large amount of data transfer across servers, which in turn accounts for increase in job completion time.
Gupta, Sneh, Lalitha, V.
core +1 more source
Non-homogeneous Two-Rack Model for Distributed Storage Systems
, 2013 In the traditional two-rack distributed storage system (DSS) model, due to the assumption that the storage capacity of each node is the same, the minimum bandwidth regenerating (MBR) point becomes infeasible.
Gastony, Bernat +3 more
core +1 more source
Hepatology, EarlyView., 2022 Abstract Background and Aims Intrahepatic cholangiocarcinoma (ICC) is a deadly but poorly understood disease, and its treatment options are very limited. The aim of this study was to identify the molecular drivers of ICC and search for therapeutic targets.
Yuto Shiode +16 more
wiley +1 more source