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For each physiochemical property, the coevolution scores of SSEs in contact were compared to the correlations of shuffled distance vectors (null model) (See Methods in Supplementary for details).

The differed value of a physiochemical property between a homolog SSE and its target SSE is the averaged difference of physiochemical properties over the aligned amino-acid residues (see Methods in Supplementary for details).

To simplify our test, we integrated the coevolution scores of the six physicochemical properties computed above into a well-known β-strand pairing predictor, ΒetaPro developed by Cheng et al. (see Methods in Supplementary for details) (Cheng and Baldi, 2005).

To investigate how these physiochemical properties co-evolve between two SSEs, we performed a large-scale analysis on the 29014 pairs of SSEs in contact derived from the 562 non-redundant ortholog groups collected from OMA database proteins (see Methods in Supplementary for details).

Thus, we additionally defined a set of relation combinations that are allowed (see Permutation_terms.txt in supplementary for all combinations).

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Please see 'List of iff logic relationship types', 'Search for iff relationships' and 'Search for if relationships' in Supplementary Material for details.

For example, A2B adenosine receptor related processes were identified among the dark blue nodes (see Table S4 GO-Enrichment-for-PPI-Figure.xls in Supplementary Materials for all pathways).

The leftist insisted that the aid – €61m in supplementary support for pensions and €11.5m for the school meals – would be taken from the primary surplus his government, unexpectedly, had managed to achieve.

The generated tool paths and calculated grazing points for test are available in supplementary files for the readers' convenience in verifying this work in different CAD/CAM systems.

Please see 'Search for iff logic relationships' in Supplementary Material for details.

The cellular content of various mitochondrial proteins was further analyzed by flow cytometry in non-synchronized C9 cells (see Fig. S2 in Supplementary Information for controls of cytometry and representative experiments for each of the protein markers assayed).

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