Tags » Convexity
use motivation ” convex recoloring problem ” phylogenetic tree protein- protein- interaction – net ( PPIN) 6 pages analysis compare two methods of population Hi:n1=n2 H1:n1>n2 branching point 1- extinct 2- hypothesized convexity is require for coloring two independunt subsets are not colore. 22 more words
Suppose is a convex function on a bounded convex domain . Does it have a continuous extension to ?
Of course not if is unbounded, like on the interval . 440 more words
Theorem 1 Let be a convex and a -smooth function. Then, for any ,
Proof: Let . Then,
where follows by using gradient inequality for the term since is a convex function, and using the -smoothess of for the term, and follows by substituting . 557 more words