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Lower bound function is one of the important techniques used to fast search and index time series data.
Upper bound function is crucial in B&B algorithm, loose upper bound would have no ability to prune search space.
This extracellular membrane bound function is unlikely in the saprolegnialean elicitin-like genes as they lack identifiable transmembrane motifs that would be necessary for anchoring into the extracellular membrane, unless the protein binds to a second membrane bound protein.
In order to make the branch and bound algorithm possible, the algorithm enumerates all legal color allocations first, and ranks them according to the upper bound function.
In addition, an extended lower bound function is designed to obtain good tightness and fast measure the distance between any two center sequences.
The experimental results demonstrate that the proposed lower bound function has better tightness and improves the performance of similarity search in multivariate time series datasets.
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Fig. 12 Statistics of the k-ambiguity trees for 10 IDs and a varying number of sensor motes N. Hence, additional run-time reductions could be achieved by applying tree-node-specific bound functions rather than a global bound function.
In addition, the displacement response bound functions of a simply supported beam structure under two types of external excitations, namely the concentrated load and the sinusoidal distributed load, are given.
By utilizing some transformations, a linear relaxation of the problem (GGP) is obtained based on the linear lower bound functions of objective and constraint functions inside some hyperrectangle region.
Secondly, the middle point function and the radius function of displacement response of the elastic beam are deduced by combining the spatial-time interval field and the traditional mode superposition method, based on which an analytical formulation of the upper and lower displacement response bound functions of the elastic beam are obtained.
L c 2 ( R ; X ) is a set of all translation compact functions in L loc 2 ( R ; X ), L b 2 ( R ; X ) is the set of all translation bound functions in L loc 2 ( R ; X ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com