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Consequently, the set of regular values of Φ is dense in ({mathbb {R}}^{n}).
Their number in a single colony could also exceed regular values as well.
And, the frequency information is not necessarily a specific value, but generally a certain interval or a set of regular values.
The set of the pseudo-observed baseline values (vec{B}_{0} = (X_{b}^{0},Y_{b}^{0},Z_{b}^{0} )) is defined as a subset of regular values for the predefined irregular time moments T0 = {t m 0 } ⊂ T, where |T0| ≪ |T|.
The simulation quality analysis from Desmond showed stable and regular values for total energy, potential energy, pressure, and temperature (standard deviation lower than 2 K for all cases).
The regular values are the average of the middle 90% of the repeat element while the irregular values are the minimum value within the middle 80% of the repeat element.
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European banks have started to report these "stressed" results – and they are far higher than regular value-at-risk readings.
Thus, λ is not a regular value of the operator.
If (0in R^{k}) is a regular value of Φ, then for almost all (ain V), 0 is a regular value of (Phi_{a}equivPhi a, cdot)).
If (0in{mathbb {R}}^{k}) is a regular value of Φ, then for almost all (ain V), 0 is a regular value of (Phi_{a}=Phi a,cdot)).
If 0 ∈ R ( k ) is a regular value of Φ, then for almost all a ∈ V, 0 is a regular value of Φ a ≡ Φ ( a, ⋅ ).
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