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This court has doubtless held that the police power is one which remains constantly under the control of the legislative authority, and that a city council can neither bind itself nor its successors to contracts prejudicial to the peace, good order, health, or morals of its inhabitants; but it is to cases of this class that these rulings have been confined.
We then derive necessary and sufficient conditions on the functional form of the loss function for the ranking of competing volatility forecasts to be robust to the presence of noise in the volatility proxy, and derive some useful special cases of this class of "robust" loss functions.
First, we consider those copy events in which the transposed segment is in direct orientation, and present the set of conditions for all of the four different cases of this class (denoted as Class I).
Indeed, the fact that we were able to detect βIII-tubulin-positive cancer cells in at least five of six cases of this class suggests that the deregulated expression of βIII-tubulin in CRPC disease is not restricted to recurrent lesions localised to the prostate.
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Comparisons are a special case of this class, where for k-bit inputs the branching program is of length k+1 and width 4. Related papers: See our order-revealing encryption (ORE) page.
Baum-Katz-type theorem and Hsu-Robbins-type theorem are extended to the case of this class of random variables.
The special case of this class has been studied by Ponnusamy and Vasundhra [1] and Obradović et al. [2].
We suggest that in the case of this class of secondary rearrangements the dicentric GCR broke at or near the repeated sequence.
Slide numbers are often a special case of this class of identifiers where there is an extension added, such as "S05-12345A B1-L2".
There was no case of Class I, Class II or Class VI in this study.
All three are special cases of the class of policies for which we show stability.
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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