infinite subset造句

Now look at some infinite subset whose complement is also infinite.
An infinite subset of the natural numbers cannot be bounded from above.
An infinite subset of the integers may be bounded from below or bounded from above, but not both.
We denote by [ \ omega ] ^ \ omega the set of all infinite subsets of \ omega.
It also suffices to prove that every infinite set is Dedekind-infinite ( equivalently : has a countably infinite subset ).
It's difficult to find infinite subset in a sentence. 用infinite subset造句挺难的

These can be sorted into two uncountably infinite subsets : those which contain " Hamlet " and those which do not.
An infinite subset of the rational numbers may or may not be bounded from below and may or may not be bounded from above.
On the other hand, a countably infinite subset of the reals may or may not be a well order with the standard " d " ".
To say that the domain has countable cardinality, use the sentence that says that there is a bijection between every two infinite subsets of the domain.
Infinite subsets of a Boolean algebra may or may not have a sup and / or an inf; in a power set algebra they always do.
The interior of each region is thus an infinite subset of " X ", and every point in " X " is in exactly one region.
Just place an infinite number of ink bottles in front of stacks of paper, and an infinite subset of them should transform into " Hamlet " within a millisecond.
A consequence of the continuum hypothesis is that every infinite subset of the real numbers either has the same cardinality as the integers or the same cardinality as the entire set of the reals.
For example, if a network card receives infinitely many ping requests, then it may fail to respond to some of the requests but should respond to an infinite subset of received ping requests.
Is it mathematically related to infinite subsets of infinity ? i . e . { all even numbers }, { all numbers greater that 16 } { all fractions between 1 and 2 }, etc.

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