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Lemma 1 is proved in the Appendix (see Additional Files 1 and 2) by using the version of the blow-up method associated with the Newton diagram [ 44, 45].
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Statistical analysis was performed by using the SPSS version 17.0 and SAS version 9.2.
By using the soluble version only for children and patients who have trouble swallowing, one hospital saved £40,000 a year.
"It is possible to use alternative words in Japanese, but they think that by using the borrowed version they are offering something new and exciting.
The statistical analysis was performed by using the SPSS (version 16.0).
We assessed cognitive function by using the Japanese version of the Brief Assessment of Cognition in Schizophrenia (BACS-J).
QTL analysis was performed using composite interval mapping (CIM) by using the QTL Cartographer version 2.5 software (Wang et al. 2012).
The cephalometric measurements were performed by using the 11.8 version of Dolphin software (Dolphin Imaging & Management Solutions, Chatsworth, CA, USA).
For performance comparison, we also developed an SVM-based speaker identification system by using the LIBSVM version 3.11 toolkit [19].
Then, the white set is predicted by using the marked version of the black set for the second pass of embedding.
Ct values (determined by using the Rotorgene Software version 1.7) were plotted against the log10 value of template concentration.
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