Explore Orientable through 10+ example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.
Orientable in a sentence
Orientable meaning
Able to be oriented.
Using Orientable
- The main meaning on this page is: Able to be oriented.
- In the example corpus, orientable often appears in combinations such as: an orientable, orientable surface.
Context around Orientable
- Average sentence length in these examples: 20.4 words
- Position in the sentence: 3 start, 5 middle, 2 end
- Sentence types: 9 statements, 1 questions, 0 exclamations
Corpus analysis for Orientable
- In this selection, "orientable" usually appears in the middle of the sentence. The average example has 20.4 words, and this corpus slice is mostly made up of statements.
- Around the word, non, closed, smooth, surface, pyrotechnic and manifold stand out and add context to how "orientable" is used.
- Recognizable usage signals include a non orientable pyrotechnic explode and an orientable manifold has. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "orientable" sits close to words such as aab, aamer and aave, which helps place it inside the broader word index.
Example types with orientable
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Every closed orientable surface admits a complex structure. (8 words)
Professor Science: Does a non-orientable pyrotechnic explode, implode, or just plode? (12 words)
Classification of closed surfaces Some examples of orientable closed surfaces (left) and surfaces with boundary (right). (16 words)
This is because 1) two-dimensional shapes (surfaces) are the lowest-dimensional shapes for which nonorientability is possible, and 2) the Möbius strip is the only surface that is topologically a subspace of every non-orientable surface. (37 words)
In general, a surface is said to be orientable if it does not contain a homeomorphic copy of the Möbius strip; intuitively, it has two distinct "sides". (27 words)
An orientable manifold has infinitely many volume forms, since multiplying a volume form by a non-vanishing function yields another volume form. (22 words)
Professor Science: Does a non-orientable pyrotechnic explode, implode, or just plode? (12 words)
Example sentences (10)
Professor Science: Does a non-orientable pyrotechnic explode, implode, or just plode?
Alternatively, for an orientable surface the formula can be given in terms of the genus of a surface, g: :: (Weisstein).
An orientable manifold has infinitely many volume forms, since multiplying a volume form by a non-vanishing function yields another volume form.
As a result, any surface is non-orientable if and only if it contains a Möbius band as a subspace.
Classification of closed surfaces Some examples of orientable closed surfaces (left) and surfaces with boundary (right).
Every closed orientable surface admits a complex structure.
In general, a surface is said to be orientable if it does not contain a homeomorphic copy of the Möbius strip; intuitively, it has two distinct "sides".
More generally, this shows that there is no smooth retraction from any non-empty smooth orientable compact manifold onto its boundary.
Some non-convex orientable polyhedra have regions turned "inside out" so that both colours appear on the outside in different places.
This is because 1) two-dimensional shapes (surfaces) are the lowest-dimensional shapes for which nonorientability is possible, and 2) the Möbius strip is the only surface that is topologically a subspace of every non-orientable surface.
Common combinations with orientable
These word pairs occur most frequently in English texts:
- an orientable 2×
- orientable surface 2×