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The factorization breakdown is also computed with particles of different nu.
The effect size for separating groups was also computed with Cohen's d = 0.698, 0.487, and 0.623 for GM_SAN, FA_CC, and fALFF_PFC, respectively.
The calibration of reduced chemistry usually relies on canonical problems, also computed with reference detailed chemical schemes.
In order to obtain reliable energies and density of states (DOS), this model was also computed with an ab initio Hartree Fock method employing periodic boundary conditions.
Coalescence time estimates were also computed with the Bayesian MCMC approach implemented in the BEAST v1.7.5 suite of software93, using five partitions of the mtDNA genome: control region, tRNA plus rRNA regions, first, second, and third positions of codons in the protein coding regions.
The kinship matrix was also computed with Tassel.
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A quantum processor can also compute with more than one qubit at once by exploiting another quantum property called entanglement, which makes qubits interdependent.
In order to understand the difference between the cases with (kappa >8/3) and (kappa<8/3), we also computed models with (kappa=7/3) and 2 - the evolution of the Lorentz factor in these models is shown in the second and third panels of Figure 2 respectively.
Sound transmission characteristics through a circular cylindrical shell are also computed along with consideration of the effects of material damping.
Odds ratio and 95% confidence intervals were also computed along with the corresponding p-value.
The mean pairwise-correlation of ortholog pI corresponding to each function was also computed, along with the corresponding pairwise correlation of ortholog Mr. We have used Kruskal-Wallis multiple comparison testing [ 14] to identify groups that significantly deviate from the expected distribution.
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