Annita Seok-Kian Yong and Rossita Shapawi provided ideas to refine the experimental methods and proof-read the manuscript.
Detailed methods and mathematical proofs are described in our previous studies [ 7- 9, 16, 17].
However, there are no anomalous rooted three-taxon species trees (Degnan and Rosenberg, 2009) and no anomalous unrooted four-taxon species trees (Allman et al., 2011; Degnan, 2013), a key fact that underlies the design of some summary methods and their proofs of statistical consistency.
The complexes, composed of a cathepsin targeting ligand and a platinum II) moiety with varying degrees of reactivity towards nucleophiles were characterized by physical analytical methods and a proof of principle was illustrated in a model reaction.
This chapter covers the methodology we are using for gene discovery in glucosinolate engineering, namely, guilt-by-association-based in silico methods and fast proof-of-function screens by transient expression in Nicotiana benthamiana.
Detailed consideration of the advantages of the new method and computation proofs will be in next the paragraph.
Our analysis of antibiotic resistance dynamics across the evolutionary history of CC398 is a novel application of discrete-trait mapping methods and provides a proof of principle for a powerful new way of elucidating historical antibiotic resistance patterns in a population.
In order to give our complex method and the proof of Theorem 1.1, we need some notations and results.
In order to give our complex method and the proof of Theorem 1, we need some lemmas and results.
To demonstrate the method and give proof of principle, we measure Δhf0(Tm) of samples of a narrow fraction of linear polyethylene (PE) with a weight average molecular weight of 60,700 g/mol, whose thermal properties are already known in the literature.
