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In our implementation for this paper, Monte Carlo integration (with 2000 random points) is used to evaluate the integrals in the Cramér-Von-Misses statistic.

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Also note that the Z-closure implementation used for this paper differs slightly from that in SplitsTree4 in that it keeps track of multiple copies of partial splits and complete splits, as this information is required by the counting filter that we apply later.

For the implementation in this paper, the two mechanisms are separated.

We use the second approach for the implementation in this paper.

For optimum implementation, this paper develops two optimal design strategies for the synthetic t chart with estimated process mean, by minimizing (i) the average run length (ARL) and (ii) the expected ARL, for deterministic and unknown shift sizes, respectively.

Each tool then processes the formula and the trace using its own algorithm (the classical LTL evaluation algorithm for BeepBeep, and the MapReduce implementation described in this paper for the others).

Additionally, for ease of implementation, this paper provides the new optimal parameters specially computed for the DS ¯¯¯X chart with estimated parameters, based on the number of Phase-I samples used in practice.

For its practical implementation, this paper introduces two algorithms: pattern generation (PG) algorithm and pattern identification (PI) algorithm.

For the implementation proposed in this paper, each pixel in the input sequence Vin is analyzed with the LBP-TOP P XY, P XT, P YT, R XY, R XT, R YT operator, in such a way that we obtain a LBP-TOP-coded sequence VLBP-TOP.

Because the control system is one of the key aspects for a successful implementation of EAS this paper proposes a development roadmap to pinpoint directions of research on how control systems should be developed.

This is the implementation pursued in this paper.

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