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Geomagnetic induction vector expressions are provided in different reference frames.

Furthermore, to match well with the Monte Carlo simulations in different experiments, analytical expressions are provided.

In Sections 4 and 5, new SEP expressions are provided in terms of Lauricella functions.

Explicit expressions are provided for the expected value and covariance of the structure deflection.

Additional expressions are provided to account for transmission mechanisms specific to double walls.

Moreover, the explicit expressions are provided for the designed filter parameters that is in terms of LMIs.

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For "multiple" mode, two parameters for differentially expression are provided.

Primer sequences used to confirm gene expression are provided in Additional file 8: Table S5.

Details of differential expression are provided in Additional files 9 and 10.

For each network, knockout data and time-series gene expression are provided.

Expression analyses of other ESTs which showed no significant differential expression are provided in Additional file 1.

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