Sentence examples for classes are closed from inspiring English sources

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.

Classes are closed now, but I fear not being able to go back when they will reopen".

Classes are closing all the time so I must be doing something right.

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.

In that period, on average, 8,746 classes were closed each year.

one random class, different from the one in which symptomatic individuals are detected, is closed ("random class closure" strategy) the class and a randomly chosen one in a different grade are closed ("mixed class closure" strategy).

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.