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For example, if there are 30 seats in a class, the class is closed when 30 students register for that class.
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.
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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To show the classes are closed under countable composition, we use the following lemma.
This class is closed by design.
Engineering candidates in the class are close to gender parity, with men leading women by a 51/49 margin.
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.
We characterize the ordinals which occur as the index of an operator and establish exactly when the defined classes are closed.
Although Thermococci generally possess a relatively low amount of disorder in comparison with other members of this branch, Pyrococcus horikoshi being close to Methanoccoci and Methanopyri, is characterized by the highest disorder content (~18%), whereas other members of this class are close to the Crenarchaeota phylum and are correspondingly characterized by the lower amount of disorder (~16%).
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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