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Italic digit ' 1' indicates single occurrences of colours; italic digit ' 2' indicates single pairs occurring.
If we were doing classical logic with multisets, we would need the structural rules (Id), (Weakening) and (Cut) from Section 2, set-variables now reinterpreted as multiset variables, and the further rule of Contraction to allow double occurrences of formulas on the left or right of the ≻ to be replaced by single occurrences.
Irregular rhythms like sunspots or the oscillations of El Nino are examples of chaotic rhythms rather than random single occurrences.
MDA is predicated on the presence of patterns in the data; single occurrences of any kind are effectively noise.
When we compared the emergent and tidepool mussels at the finest level for taxonomic affinities, only 7 identities differed between the 2 samples and all were single occurrences within 7 distinct phylogenetic groups (Crenarcheaota, Euryarchaeota, Actinobacteria, Chlorobi, Firmicutes, γ-Proteobacteria).
We found that ten sporadic mutations (single occurrences) were present in the tRNA plus rRNA genes from AD mtDNA sequences, while only two sporadic mutations were found in the same genes from controls.
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The court has already ruled that under the definitions in Wilprop, the attack is viewed as a single occurrence and the developer gets only one payment.
Somewhere else the same sequence of zeros and sevens may appear, only this time interrupted by a single occurrence of the digit 3. Another accident.
"However, these three insurers' coverage amounts to a total of $112 million per occurrence, so that limiting these insurers to a single occurrence does not have a material effect on the overall amounts of $6.7 billion to be recovered in the litigation".
The insurers have argued that the policy outline agreed to by the insurers defines as a single occurrence all losses or damages from a single cause or a series of similar causes.
The court has already ruled that three insurers, with a total coverage of $112 million, were bound by Wilprop, which regards the destruction of the trade center as a single occurrence.
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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