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Download Apache Hadoop YARN: Moving beyond MapReduce and Batch by Arun C. Murthy, Vinod Kumar Vavilapalli, Doug Eadline, PDF

By Arun C. Murthy, Vinod Kumar Vavilapalli, Doug Eadline, Joseph Niemiec, Jeff Markham

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Additional resources for Apache Hadoop YARN: Moving beyond MapReduce and Batch Processing with Apache Hadoop 2 (Addison-Wesley Data & Analytics Series)

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Let R denote the set of real numbers. R+ denotes the set of nonnegative real numbers. R n denotes the n -dimensional Euclidean space and R n×m the set of all n × m real matrices. diag(⋅) denotes a block diagonal matrix. The symbol “  ” within a matrix represents the symmetric term of the matrix. Matrices, if not explicitly stated, are assumed to have compatible dimensions. ,  A = λ max ( AT A) , where λ max (⋅) means the largest eigenvalue of AT A. l2 [0, ∞) is the space of square integrable vector.

Remark 2. , ΔΠ = 0, then MJRNN (9) reduces to a model which has been deeply studied in [10]. In addition, in Ref. [10], the activation functions were assumed to be bounded, while in this paper, the restriction is removed by using the analysis of intergradation between s-global exponential stability and global exponential stability. 4 Conclusions Without assuming the boundedness, monotonicity and differentiability of the activation functions, an LMI-based sufficient condition which guarantees that the dynamics of MJRNNs with uncertain switching probabilities is globally exponentially stable in the mean square has been obtained.

Rough set theory for multicriteria decision analysis. European Journal of Operational Research 129, 1–47 (2001) 12. : Rough sets methodology for sorting problems in presence of multiple attributes and criteria. European Journal of Operational Research 138, 247–259 (2001) 13. : Interval ordered information systems. com Abstract. To improve the retrieval efficiency and performance of the large scale information retrieval systems, analyzed existing algorithm for Web search and duplicated Web pages detection.

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