cardinality of the real numbersの例文

例文

1. The number of all functions from integers to integers is higher : the same as the cardinality of the real numbers.
2. :The number of functions from real numbers to real numbers is " c c ", where " c " is the cardinality of the real numbers.
3. Or mathematically speaking, noting that the aleph-null " ) and the cardinality of the real numbers | \ mathbb { R } | is 2 ^ { \ aleph _ 0 }, the continuum hypothesis says
4. Without getting into the problems of your construct, one may simply note that the cardinality of the natural numbers is strictly less than the cardinality of the real numbers ( i . e . the natural numbers are countable, while the real numbers are uncountable ).
5. Equivalently, as the aleph-naught " ) and the cardinality of the real numbers is 2 ^ { \ aleph _ 0 } ( i . e . it equals the cardinality of the power set of the integers ), the continuum hypothesis says that there is no set S for which