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The addition of a second conditioning variable based on a reduced temperature is investigated.
Results show that the addition of a second conditioning variable that measures the extent of completion of combustion may be a reasonable choice for nonhomogeneous autoignition modeling.
However, additional nontrivial closure models are required for both reactive scalars' phase space equations and the transport equations for the second conditioning variable.
The lift-off height predictions may be improved by adding a third conditioning variable that would reflect the effect of straining or changing the chemistry tabulation using different chemical progress variables.
Since the self-catalytic reaction is initiated by the mixing of the fresh liquid with the reacted one, we use the mean age of the fluid parcel as the conditioning variable.
However, the analyses also reveal that work location is an important conditioning variable, as the effects of education, training, job autonomy, and management support on knowledge sharing behavior depend on whether the respondents work offshore or onshore.
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In the first we average over all (conditioning) variables in the conditional expectation or density.
A framework for log-linear models with context specific independence structures, i.e. conditional independencies holding only for specific values of the conditioning variables is introduced.
The results also imply that the underlying assumptions in DCSE – that the conditional variances and the spatial gradients in the conditional averages are both negligible – are valid when sufficient conditioning variables are used, at least for the flames considered.
They consider "conditional" portfolios, which invest in each asset an amount proportional to conditioning variables, and "timing" portfolios, which invest in each asset for a single period and in the risk-free asset for all other periods.
In the second case we average over a strict subset of the conditioning variables.
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