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During the detection process, the segment endpoints of Fig. 7 d are used for restricting the parameters of potential rectangles as previously described.
Indeed, let a 1 = k 2 − i k 1, a 2 = k 2 + i k 1, c 1 = l 2 − i l 1, c 2 = l 2 + i l 1, substituting (2.3) into (2.2), we can obtain various breathers by restricting the parameters suitably.
After restricting the parameters to the right-hand peak, the marginal posterior distributions for the monomerization rates showed no discernible peak and were spread over a broad range of 40 orders of magnitude.
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It excludes the possibility of a transition from an oscillatory state to a(nother) steady state (known as depolarisation block in neuroscience), by restricting the parameter space from above.
On very general grounds, it is clear that reliable atomistic heteroepitaxial-growth simulations could strongly help in restricting the parameter-space to be experimentally sampled to obtain the desired result, e.g. in terms of islands distribution, positioning, etc.
Some studies (Hirose et al., 2008; Yamaguchi et al., 2007) proposed restricting the parameter spaces of state-space models, so as to avoid the lack of identifiability.
However, by restricting the parameter space of the standard deviations of the Gaussian distributions, we could limit our probabilistic search to the parameter subspace in which the clustering results reflect the desired partitions of the datasets and, hence, the accurate number of underlying OTUs (Section 2).
To avoid the lack of identifiability, we propose restricting the parameter spaces as follows: Q =τ I, τ>0, each row of C is a vector with only one non-zero element whose value is 1 and each column of C is a non-zero vector.
A novel aspect is that we restrict the parameters in the original problem to only appear in affine functions, which lets us map the parameters to problem data without performing any floating point operations.
For half an hour in the first half they were either making tackles close to the breakdown, as Ireland tried to inflict some physical punishment and restrict the parameters of the contest, or they were getting their own wires crossed in midfield trying to get in behind the Irish defence.
Accordingly, it is reasonable to restrict the parameters that the attackers will change to transmitted power and occupied spectrum bandwidth.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com