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The primality of p ensures that the product of two integers neither of which is divisible by p is not divisible by p either, hence the indicated set of classes is closed under multiplication.
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To show the classes are closed under countable composition, we use the following lemma.
Later Libera [3] introduced an integral operator and showed that these two classes are closed under this operator.
We characterize the ordinals which occur as the index of an operator and establish exactly when the defined classes are closed.
In that period, on average, 8,746 classes were closed each year.
Classes are closed now, but I fear not being able to go back when they will reopen".
The class is closed under convex combinations.
The class is closed under the following operations.
If '>' is a probability conditional for a class of probability functions, and if the class is closed under conditioning, then (5) holds for any probability function in the class, and for any a and c.
Another interesting observation to note from interaction CCS x SCD (in Table 2) is that if a longer school closure duration is selected, then it is preferable to close a school sooner after a class is closed.
the class is closed for a fixed duration ("targeted class closure" strategy); the class and the other class of the same grade are both closed for a fixed duration ("targeted grade closure" strategy); the entire school is closed for a fixed duration ("whole school closure" strategy).
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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