On this page you'll find 5 example sentences with Cofinal. Discover the meaning, how to use the word correctly in a sentence.
Cofinal meaning
Of a subset of a partially ordered set; containing elements at least as late as any given element of the set, relative to the given partial order.
Using Cofinal
- The main meaning on this page is: Of a subset of a partially ordered set; containing elements at least as late as any given element of the set, relative to the given partial order.
- In the example corpus, cofinal often appears in combinations such as: is cofinal, cofinal in.
Context around Cofinal
- Average sentence length in these examples: 27.6 words
- Position in the sentence: 2 start, 2 middle, 1 end
- Sentence types: 5 statements, 0 questions, 0 exclamations
Corpus analysis for Cofinal
- In this selection, "cofinal" usually appears near the start of the sentence. The average example has 27.6 words, and this corpus slice is mostly made up of statements.
- Around the word, two, subset and subsets stand out and add context to how "cofinal" is used.
- Recognizable usage signals include element is cofinal and must and every other cofinal subset. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "cofinal" sits close to words such as aaas, aacc and aacs, which helps place it inside the broader word index.
Example types with cofinal
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
An ordinal is called regular if it is cofinal with any smaller ordinal; otherwise it is singular. (17 words)
If two cofinal subsets of B have minimal cardinality (i.e. their cardinality is the cofinality of B), then they are order isomorphic to each other. (26 words)
In more formal language, the set of all left-hand Riemann sums and the set of all right-hand Riemann sums is cofinal in the set of all tagged partitions. (30 words)
Examples * The cofinality of a partially ordered set with greatest element is 1 as the set consisting only of the greatest element is cofinal (and must be contained in every other cofinal subset). (33 words)
A subset is cofinal in the whole set if and only if it is unbounded in the whole set or it has a maximum which is also maximum of the whole set. (32 words)
In more formal language, the set of all left-hand Riemann sums and the set of all right-hand Riemann sums is cofinal in the set of all tagged partitions. (30 words)
Example sentences (5)
Examples * The cofinality of a partially ordered set with greatest element is 1 as the set consisting only of the greatest element is cofinal (and must be contained in every other cofinal subset).
An ordinal is called regular if it is cofinal with any smaller ordinal; otherwise it is singular.
A subset is cofinal in the whole set if and only if it is unbounded in the whole set or it has a maximum which is also maximum of the whole set.
If two cofinal subsets of B have minimal cardinality (i.e. their cardinality is the cofinality of B), then they are order isomorphic to each other.
In more formal language, the set of all left-hand Riemann sums and the set of all right-hand Riemann sums is cofinal in the set of all tagged partitions.
Common combinations with cofinal
These word pairs occur most frequently in English texts:
- is cofinal 4×
- cofinal in 2×