On this page you'll find 4 example sentences with Monic. Discover the meaning, how to use the word correctly in a sentence.
Monic meaning
- Of a polynomial whose leading coefficient is one.
- Monomorphic.
- Of a morphism: that it is a monomorphism.
Using Monic
- The main meaning on this page is: Of a polynomial whose leading coefficient is one. | Monomorphic. | Of a morphism: that it is a monomorphism.
- In the example corpus, monic often appears in combinations such as: monic maps.
Context around Monic
- Average sentence length in these examples: 23.5 words
- Position in the sentence: 1 start, 3 middle, 0 end
- Sentence types: 4 statements, 0 questions, 0 exclamations
Corpus analysis for Monic
- In this selection, "monic" usually appears in the middle of the sentence. The average example has 23.5 words, and this corpus slice is mostly made up of statements.
- Around the word, maps, polynomials and equation stand out and add context to how "monic" is used.
- Recognizable usage signals include consider k monic polynomials of and injective and monic maps which. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "monic" sits close to words such as aaai, aani and aarne, which helps place it inside the broader word index.
Example types with monic
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
This monic equation has the same solutions as the original. (10 words)
For this, let us consider k monic polynomials of degree one: : They are pairwise coprime if the are all different. (20 words)
While this is not exactly true for monic maps, it is very close, so this has caused little trouble, unlike the case of epimorphisms. (24 words)
Saunders Mac Lane attempted to make a distinction between what he called monomorphisms, which were maps in a concrete category whose underlying maps of sets were injective, and monic maps, which are monomorphisms in the categorical sense of the word. (40 words)
While this is not exactly true for monic maps, it is very close, so this has caused little trouble, unlike the case of epimorphisms. (24 words)
For this, let us consider k monic polynomials of degree one: : They are pairwise coprime if the are all different. (20 words)
Example sentences (4)
For this, let us consider k monic polynomials of degree one: : They are pairwise coprime if the are all different.
Saunders Mac Lane attempted to make a distinction between what he called monomorphisms, which were maps in a concrete category whose underlying maps of sets were injective, and monic maps, which are monomorphisms in the categorical sense of the word.
This monic equation has the same solutions as the original.
While this is not exactly true for monic maps, it is very close, so this has caused little trouble, unlike the case of epimorphisms.
Common combinations with monic
These word pairs occur most frequently in English texts: