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Finally, we do not consider one potential cause of genotype network fragmentation: If one required for viability that biomass precursors need to be synthesized at a high rate, then genotype networks may fragment more often than we observe.
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Yet The Sims or Sim City, which a player neither wins nor loses, leaves critics divided, as does EverQuest, if one requires that a game have a definite endpoint.
Matters are not much better if one requires the material conditional to be a logical truth.
There are no more restrictions, other than finite presentability, if one requires that (Gamma ) be the fundamental group of a compact complex manifold, as shown by Taubes [351], or if one requires that (Gamma ) be the fundamental group of a compact symplectic 4-manifold, as shown by Gompf [182].
Then, if one requires a sensor located at c k, all the potential factors α k are given by (c_{k} in alpha _{k} mathbb {D}(1,1), alpha _{k} in frac {c_{k}}{mathbb {D}(1,1)}).
This is especially useful if one requires testing large samples (e.g., to target individual differences), populations with contraindication for functional MRI (e.g., infants or patients with metal implants), or subjects in more naturalistic environments (e.g., work or sport).
Now if one requires M α to be zero when cv = 1 and ci = 0, that is the defect mobility vanishes in the void phase, Eq. (32) reduces to -v{left[{c}_{alpha}^0right]}_={left[{mathbf{J}}_{alpha}^0cdot mathbf{n}right]}^, (33 where ( {left[{mathbf{J}}_{alpha}^0cdot widehat{mathbf{n}}right]}^ )represents the normal flux of the corresponding specie calculated at the interface from the solid side.
This size decreases even further if one requires viability in multiple environments.
Conversely, if one requires a long depth of focus (2-3 mm), only a relatively poor lateral resolution 10-200 μm) can be achieved.
It would therefore be interesting to know what happens if one requires some combination of gene types to be present, and, rather than a model wherein 'any non-redundant gene type will do', the authors instead required specific gene types to replace lost genes.
In several examples, the efficiency of the oxidation process is only determined by acid decomposition of the diazo compound and measurement of the quantity of evolved nitrogen[ 20, 27, 31] or isolation of the ester produced (decomposition by a carboxylic acid),[ 18, 23– 26, 32] neither of which are worthwhile if one requires the diazo compound itself for further synthetic transformations.
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