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When the vector of parameters η belongs to the interior of the parameter set, the regularity conditions (see Section 3 of Shieh et al., 2006 for details) hold, and the consistency of the MLEs follows, which implies that the vector of MLEs multiplied by converges to their true parameters.
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The above limitative results show that ZFC lacks sufficient power to resolve many questions about simple definable sets of reals it cannot determine whether Σ̰12 sets have the regularity properties and it cannot determine the pattern of the uniformization property beyond Σ̰12.
We also show that, in this set-up, the regularity conditions required for the identification of the mean counterfactual outcome for participants marginally eligible for the programme are essentially the same as in a sharp RDD.
In the traditional level set methods, in order to keep the regularity and numerical stability during the evolving process, periodical re-initialization [31 33] as a numeric remedy is introduced to maintain the level set function regularity.
And it is still quite capable of lifting the heart and setting the belly laughing with some regularity.
High-temperature records began to be set with regularity, in both summer and winter.
The regularity imposed by those broader structural aspects sets the contours of variation in biology.
Kant, she concedes, is a pretty unpromising model for facing up to the messy complexities of adulthood: he never married, never traveled more than 40 miles outside Königsberg in Prussia, and was so hidebound by routine that neighbors reportedly set their clocks by the regularity of his afternoon walk.
Natural scenes are fundamentally different from most stimuli used in lab, since they contain a rich set of regularities that are not present in simple stimuli.
The influence and setting regularity of different factors were discussed according to the compromise solutions.
In particular, if one assumes PD then all projective sets of reals have the regularity properties and if one assumes ADL then all of the sets of reals in L have the regularity properties.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com