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In the mean field limit, this event becomes deterministic and its value can be fixed through a self consistent procedure.
To further improve the computational efficiency, the interval perturbation method (IPM) is used to estimate the constraints, thereby the calculation for the constraints in each optimization loop becomes deterministic, and the double-loop nested problem is reduced to an approximate single-loop problem.
As a consequence, the path gain becomes deterministic and reduces to a = κ d 0 cτ 1 2 γ, (7).
It is very likely, however, that the prices p 0 and p 1 are set just before commencing the initial selling stage, and thus the value of ε 0 can be reasonably assumed known, and thus v 0 defined in Eq. (43) becomes deterministic and fully specified.
When α approaches infinity, the DBCD becomes deterministic and the patients are assigned to the putatively better treatment with probability 1.
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for some initial J 0. Notice that, in our case, (mathbf {D}_{k}^{22}) becomes deterministic, but the rest of the terms involving expectations should be computed by Monte-Carlo integration over independent state trajectories.
3 A purely cryptographic approach to lookups without comparisons is described in [36], but this technique applies only to one-dimensional tables so far. 4 Roughly speaking, the authorization (comparison) token k com lets us strip the randomizer from the ciphertext, so that the scheme becomes deterministic.
Since the response is always the same (which corresponds to the response logged during the actual session) the application becomes deterministic for that action (e.g. in the case of a news website, loading the homepage from a prerecorded log always returns the same set of news).
Besides, if a i j ( x ) ≡ 0, 1 ≤ i, j ≤ n, then the processes become deterministic stochastic processes.
More importantly, the MRT scheme with user scheduling only needs a small number of channel feedback bits to perform near-ideal interference cancelation because the steering vectors become deterministic.
Once the environment became deterministic (selective pressure from an increased substrate feeding), microbial populations started to diverge between the overfed reactors.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com