例句與造句

1. The cardinality of any infinite ordinal number is an aleph number.
2. In 1883, Cantor extended the natural numbers with his infinite ordinals.
3. in which ? is the smallest infinite ordinal.
4. But most infinite ordinals are not initial, as many infinite ordinals associate with the same cardinal.
5. But most infinite ordinals are not initial, as many infinite ordinals associate with the same cardinal.
6. It's difficult to find infinite ordinal in a sentence. 用infinite ordinal造句挺難的
7. If ? is an infinite ordinal then there is a bijection between L ? and ?, and the bijection is constructible.
8. The smallest algebraically closed field of nimbers is the set of nimbers less than the ordinal, where is the smallest infinite ordinal.
9. There are infinite ordinal numbers ? for which the set of surreal numbers with birthday less than ? is closed under the different arithmetic operations.
10. Having solved the open problem posed by Davenport on writing numbers as the sums of fifth powers, Conway began to become interested in infinite ordinals.
11. In a notation " & beta;-th element " where ? can also be an infinite ordinal, it will typically count from zero.
12. These infinite ordinals : ?, ? + 1, ??, ? 2, ? ? and ? 0 are among the countably infinite sets.
13. I'm not entirely clear with the exponentiation of infinite ordinals either ( I believe the article treats ordinals in a much too formal way ).
14. As is standard, we denote by \ omega the least infinite ordinal, which has cardinality \ aleph _ 0 and may be identified with the set of all natural numbers.
15. An infinite ordinal \ alpha is regular if and only if it is a limit ordinal which is not the limit of a set of smaller ordinals which set has order type less than \ alpha.
16. "Remark " : In words, " There exists a level corresponding to each infinite ordinal . " " Ordinals " makes possible the conventional Von Neumann definition of ordinal numbers.
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