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From (23), one observes that (17) is only finite if and only if (24).
We also compute the superhedging cost when in the more realistic situation where there is only finite tradeable European options; for this case we obtain the full duality in the sense of quantile hedging as in Soner (2015), where the superhedge works with probability 1−ε where ε can be arbitrarily small), and we obtain an upper bound for the true pathwise superhedging cost.
However, a limitation of these HMMs is, since there is only finite state information about the sequence that can be held in any particular position, HMMs cannot capture dependencies that are far, and variable distance apart, in sequence.
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However, there are only finite studies on the synthesis of Fe3O4-NPs from marine plants.
Because p is finite, there are only finite number of scompeting against (s_{0}), and each of them has (o(1)) probability being selection.
Since the function f is one-to-one, there are only finite number of computations of ({mathrm {Sym}}( MM _2)) starting at the configuration (c_epsilon =(1 epsilon,0,0,0)).
It is known that (cf.[17, 32]) there are only finite possibilities of topological entropies for Y 1 and Y 2 as the parameters vary.
Assume that a completely continuous field (f=operatorname{Id}-F bar{Omega}rightarrow X) has no zero points on ∂Ω, and there are only f=operatorname{Id}-F bar{Omega}rightarrowX_{n}) in Ω.
Notice that there are only finite number of descent graphs for a given pedigree; therefore, there are only finite number of inheritance paths between two alleles and the summation only has finite number of terms.
Hence there is only a finite number of finite coarse connected components (X_1,ldots, X_N).
Almeder's (1983) interpretation of Peirce's view of scientific progress is that there is only a finite number of scientific problems and they will all be solved in a finite time.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com