Note carefully that we start the forward induction from χ∩ B(1) (i.e. the set of all core trajectory edges that have not been replaced by an exchange edge during the backward extension phase) and not B(1).
In conclusion, we add to our current set of edges all the compatible and exchange edges in H t and remove those (core) edges that are replaced by an exchange edge to arrive at B(t−1), formally: We apply the same procedure forward in time to obtain a sequence F(1)=χ∩ B(1), F(2),…, F(n) of forward extensions.
The benchmark Shanghai composite index gained 1.3 percent, to 2,898.26 points, while the Shenzhen composite index for China's smaller second exchange edged 0.3 percent higher, to 1,337.83.
Therefore, the leaf order of the tree has to be modified by rotating or exchanging edges until it matches the residue order in the local target sequence.
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Boston fans celebrated two World Series championships in the past decade, but they lost something in the exchange: an edge, a chip on their shoulder, a passion; eternal agitation and a running feud with the baseball gods.
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When the two exchanged punches, Edge and Lita came out, with Lita low-blowing Funk.
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Then, exchanging any edge e′ in the support of P with the edge e will produce a spanning tree for G V) of larger weight, implying that | e′|<| e| must hold for every such edge e′ implying that also B(P <| e| must hold.
Consequently, exchanging the edge e with the edge e i :={ v i −1, v i } in E would also give rise to a spanning tree for G V), and we would have | E′|=| E|+| e i |−| e|<| E| in view of | e i |≤ B(P <| e|, thus contradicting our choice of E. So, E⊆ E(V| W) must hold, as claimed.
