Explore Simplicial through 7 example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.
Simplicial in a sentence
Simplicial meaning
Having to do with, or having, simplices.
Using Simplicial
- The main meaning on this page is: Having to do with, or having, simplices.
- In the example corpus, simplicial often appears in combinations such as: simplicial complex, as simplicial, simplicial homology.
Context around Simplicial
- Average sentence length in these examples: 29.4 words
- Position in the sentence: 1 start, 5 middle, 1 end
- Sentence types: 7 statements, 0 questions, 0 exclamations
Corpus analysis for Simplicial
- In this selection, "simplicial" usually appears in the middle of the sentence. The average example has 29.4 words, and this corpus slice is mostly made up of statements.
- Around the word, connected, modern, complex, homology and complexes stand out and add context to how "simplicial" is used.
- Recognizable usage signals include 4 connected simplicial well covered and as a simplicial complex using. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "simplicial" sits close to words such as aaba, aafc and aaib, which helps place it inside the broader word index.
Example types with simplicial
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
This convention is more common in applications to algebraic topology (such as simplicial homology ) than to the study of polytopes. (20 words)
Simplicial complexes should not be confused with the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory. (21 words)
The universal covering space of a finite connected simplicial complex X can also be described directly as a simplicial complex using edge-paths. (23 words)
The edge-path group acts naturally by concatenation, preserving the simplicial structure, and the quotient space is just X. It is well known that this method can also be used to compute the fundamental group of an arbitrary topological space. (40 words)
A simplex A is a coface of a simplex B if B is a face of A. Face and facet can have different meanings when describing types of simplices in a simplicial complex ; see simplical complex for more detail. (39 words)
De Rham showed that all of these approaches were interrelated and that, for a closed, oriented manifold, the Betti numbers derived through simplicial homology were the same Betti numbers as those derived through de Rham cohomology. (36 words)
Example sentences (7)
Simplicial complexes should not be confused with the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory.
The universal covering space of a finite connected simplicial complex X can also be described directly as a simplicial complex using edge-paths.
A simplex A is a coface of a simplex B if B is a face of A. Face and facet can have different meanings when describing types of simplices in a simplicial complex ; see simplical complex for more detail.
De Rham showed that all of these approaches were interrelated and that, for a closed, oriented manifold, the Betti numbers derived through simplicial homology were the same Betti numbers as those derived through de Rham cohomology.
It is one of only four 4-connected simplicial well-covered polyhedra, meaning that all of the maximal independent sets of its vertices have the same size.
The edge-path group acts naturally by concatenation, preserving the simplicial structure, and the quotient space is just X. It is well known that this method can also be used to compute the fundamental group of an arbitrary topological space.
This convention is more common in applications to algebraic topology (such as simplicial homology ) than to the study of polytopes.
Common combinations with simplicial
These word pairs occur most frequently in English texts:
- simplicial complex 3×
- as simplicial 2×
- simplicial homology 2×