例句與造句

1. This definition is known as the von Neumann cardinal assignment.
2. Using Von Neumann cardinal assignment, every infinite cardinal number is also a limit ordinal.
3. Hence, it has cardinality \ aleph _ 0, which equals ? by von Neumann cardinal assignment.
4. Similarly the von Neumann cardinal assignment which assigns a cardinal number to each set requires replacement, as well as axiom of choice.
5. In modern set theory, we usually use the Von Neumann cardinal assignment which uses the theory of ordinal numbers and the full power of the axioms of replacement.
6. It's difficult to find von neumann cardinal in a sentence. 用von neumann cardinal造句挺難的
7. In theories with the axiom of choice, the cardinal number of any set has an initial ordinal, and one may employ the Von Neumann cardinal assignment as the cardinal's representation.
8. This is called the von Neumann cardinal assignment; for this definition to make sense, it must be proved that every set has the same cardinality as " some " ordinal; this statement is the well-ordering principle.
9. If we use the Von Neumann cardinal assignment, every infinite cardinal number is also a limit ordinal ( and this is a fitting observation, as " cardinal " derives from the Latin " cardo " meaning " hinge " or " turning point " ) : the proof of this fact is done by simply showing that every infinite successor ordinal is equinumerous to a limit ordinal via the Hotel Infinity argument.