Explore Adjoints through 4 example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.
Adjoints meaning
plural of adjoint
Using Adjoints
- The main meaning on this page is: plural of adjoint
Context around Adjoints
- Average sentence length in these examples: 24.8 words
- Position in the sentence: 0 start, 2 middle, 2 end
- Sentence types: 4 statements, 0 questions, 0 exclamations
Corpus analysis for Adjoints
- In this selection, "adjoints" usually appears in the middle of the sentence. The average example has 24.8 words, and this corpus slice is mostly made up of statements.
- Around the word, left, lower and generalize stand out and add context to how "adjoints" is used.
- Recognizable usage signals include are left adjoints and chap 4 adjoints one can. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "adjoints" sits close to words such as aaai, aani and aarne, which helps place it inside the broader word index.
Example types with adjoints
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
In Mac Lane, Categories for the working mathematician, chap. 4, "Adjoints", one can verify the following usage. (17 words)
Analogously, one can show that the cokernel functors for abelian groups, vector spaces and modules are left adjoints. (18 words)
Let us first consider functions that preserve all joins (i.e. lower adjoints of Galois connections), since this case is simpler than the situation for complete homomorphisms. (27 words)
Note however that a right inverse of F (i.e. a functor G such that FG is naturally isomorphic to 1 D ) need not be a right (or left) adjoint of F. Adjoints generalize two-sided inverses. (37 words)
Let us first consider functions that preserve all joins (i.e. lower adjoints of Galois connections), since this case is simpler than the situation for complete homomorphisms. (27 words)
Analogously, one can show that the cokernel functors for abelian groups, vector spaces and modules are left adjoints. (18 words)
Example sentences (4)
Analogously, one can show that the cokernel functors for abelian groups, vector spaces and modules are left adjoints.
In Mac Lane, Categories for the working mathematician, chap. 4, "Adjoints", one can verify the following usage.
Let us first consider functions that preserve all joins (i.e. lower adjoints of Galois connections), since this case is simpler than the situation for complete homomorphisms.
Note however that a right inverse of F (i.e. a functor G such that FG is naturally isomorphic to 1 D ) need not be a right (or left) adjoint of F. Adjoints generalize two-sided inverses.