Get to know Collineations better with 3 real example sentences, the meaning.
Collineations meaning
plural of collineation
Using Collineations
- The main meaning on this page is: plural of collineation
- In the example corpus, collineations often appears in combinations such as: automorphic collineations.
Context around Collineations
- Average sentence length in these examples: 17.7 words
- Position in the sentence: 1 start, 1 middle, 1 end
- Sentence types: 3 statements, 0 questions, 0 exclamations
Corpus analysis for Collineations
- In this selection, "collineations" usually appears near the start of the sentence. The average example has 17.7 words, and this corpus slice is mostly made up of statements.
- Around the word, automorphic and planar stand out and add context to how "collineations" is used.
- Recognizable usage signals include all the collineations of pg and and automorphic collineations. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "collineations" sits close to words such as aaaaand, aaah and aacl, which helps place it inside the broader word index.
Example types with collineations
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Collineations whose fixed structure forms a plane are called planar collineations. (11 words)
Another type of collineation of PG(2,K) is induced by any automorphism of K, these are called automorphic collineations. (20 words)
The fundamental theorem of projective geometry says that all the collineations of PG(2,K) are compositions of homographies and automorphic collineations. (22 words)
The fundamental theorem of projective geometry says that all the collineations of PG(2,K) are compositions of homographies and automorphic collineations. (22 words)
Another type of collineation of PG(2,K) is induced by any automorphism of K, these are called automorphic collineations. (20 words)
Collineations whose fixed structure forms a plane are called planar collineations. (11 words)
Example sentences (3)
Collineations whose fixed structure forms a plane are called planar collineations.
The fundamental theorem of projective geometry says that all the collineations of PG(2,K) are compositions of homographies and automorphic collineations.
Another type of collineation of PG(2,K) is induced by any automorphism of K, these are called automorphic collineations.
Common combinations with collineations
These word pairs occur most frequently in English texts: