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However, unlike the main effects S i and R j that depend directly on the mating types, estimates of the interaction terms ϑ ik and Φ jk are conditionally independent of these nuisance parameters when S i and R j are fitted in the model.
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The other shared entrée was chicken and crêpes, and a waiter who had obviously grown accustomed to serving precision-minded finance types estimated that "thirty-five to forty per cent" of diners the previous night had ordered it.
The annual energy consumption details for these house types estimated using the approach developed in this research is presented in Table 3.
Typically, this has been achieved using residual-type estimates.
3.7 Lipschitz type estimates cannot be extended beyond ({ple 2}).
3.6 Lipschitz type estimates in the case (1le ple 2).
We also discuss Hölder type estimates and Schatten von Neumann estimates for operator differences.
The new empirical relationship developed can provide engineering type estimates of the confined propagation pressure.
Moreover, at the endpoint case, we will obtain their weak type estimates.
In [21] and [22], Wang and Liu obtained some weak type estimates on weighted Hardy spaces.
As a technical tool we derive Harnack-type estimates for possibly unbounded supersolutions.
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CEO of Professional Science Editing for Scientists @ prosciediting.com