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For the second set of simulations, the same protocol is applied with the same sparsity basis but with the Hadamard basis as the sensing matrix ϕ. Figure 1 shows the phase transitions of the ℓ1-minimization problem obtained for sparse signals in the Dirac, Haar, and Fourier sparsity bases and probed in the Fourier basis with and without random pre-modulation.
I considered two response variables for the second set of simulations.
For the second set of simulations we varied the proportion of patients with X 12 = 1 while holding the other parameters constant.
Although the trend is weaker for the second set of simulations, it is consistent both within trajectories and when comparing the apo and liganded states.
For the second set of simulations, the ML tree for the full 77-taxon data set, with associated branch lengths and model parameters, was used as a model tree to simulate 100 data sets of length 1766 in Seq-Gen 1.2.7.
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Changes in fraction of persistent native contacts for D2a, D2b, and D3 under each denaturing temperature from the first set of simulations are presented in Fig. 7.
The outputs from the first set of simulations are shown in Figure 1.
The second set of simulations was performed for an STO uniformly distributed in the range [ −M/2,M/2]=[ −256,256].
In the second set of simulations, the values of three parameters were modified compared to the first set of simulations.
As the second set of simulations, two uncorrelated signals were considered and sampled every 0.1 s for 60 min.
The second set of simulations attempts a large eddy simulation (LES) of a standard size channel.
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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