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Existing optimizers can already eliminate redundancy using syntactical analysis, but are not capable of identifying equivalence within absolute defined geometries.
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Next, we linearly scan through each copy, and identify equivalence blocks, i.e. sets of k-mers that are equal when restricted to s j.
Illustrating the model structure in a graph may help to clarify structural differences between various models and identify equivalences among them [ 23, 46].
We will identify the equivalence class u with its continuous representant u(t)=int_{0}^{t} nabla u(t), dt+c.
To analyze the connectivity, we use the results of Miorandi and Altman [4] that identified the equivalence between (i) the busy period of an infinite server queue and the connectivity distance in an ad hoc network and (ii) the number of customers served during a busy period and the number of nodes in a connected cluster in the network.
The authors also identified the equivalence between the following: (i) the busy period of an infinite server queue and the connectivity distance in an ad hoc network and (ii) the number of customers served during a busy period and the number of nodes in a connected cluster in the network.
Theorem 5.1 gives only a semi-conjugacy between H and σ, but we are able to identify the equivalence classes of (f^) explicitly using the fact that (f^) is holomorphic with respect to a and z and Hurwitz's theorem (see Propositions 12.4-12.6 in [9]): f^(t_{1},z_{1})=f^(t_{2},z_{2}) quad mbox{if and only if}quad gamma(t_{1})=gamma(t_{2}) mbox{ and } z_{1}=z_{2}.
The fact that matching processes do not depend on structure superposition allows us to identify the equivalence of the SSEs of a DSCO pair throughout the main domains and swapped domains.
The primary challenge in using an alteration of this criterion for complex structures with positions of only the Cα atoms available is to identify the equivalence of 7% and 10% sidechain accessibility for accessible surface area of Cα atoms as a function of the residue type.
A diagnosis of "cardiac condition" has a support of 3. We then identify all equivalence classes smaller than 3 that have this diagnosis.
Then, we should identify the equivalence between each one of these concepts and a corresponding concept present in the reference ontology.
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