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In our theoretical analysis, we consider tree networks with infinitely many levels (or called infinite trees) to derive the sample path-based estimator under the heterogeneous SIR model with a partial snapshot.
We want to move from streams to a more complicated example, infinite trees.
The same kind of remark applies to infinite trees as we discussed them, and certainly to hypersets.
For instance, automata on infinite trees and Rabin's theorem were used to obtain a decision procedure for CTL* in Emerson and Sistla (1984).
And in terms of these one can indeed study streams and infinite trees, and many other sets of interest in this entry.
We further prove that the distance between the estimator and the actual source is upper bounded by a constant independent of the number of infected nodes with a high probability on infinite trees.
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Infinitism looks psychologically unrealistic, requiring an infinite tree of beliefs that finite minds like ours could not accommodate.
That's what the infinite tree would look like, so I clearly can't really analyze that object.
Consider an infinite tree.
Let T be an infinite tree with assumption (5) holds.
Consider an infinite tree rooted at v r.
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CEO of Professional Science Editing for Scientists @ prosciediting.com