manifold
2
9.9
- noun
- /ˈmænɪˌfoʊld/
- Specialized
:
variedad
- Here, we explore the properties of the LSFM-global manifold.
- differentiable manifold
- n-dimensional manifold
- structure on a manifold
Large, large, large classes of manifolds are actually hyperbolic.
- Large, large, large classes of manifolds are actually hyperbolic.
- You see, for mathematicians, manifolds of dimension bigger than four are simple.
- These are called the Calabi Yao manifolds, named after Yao, who is also here.
- The number of little spaces, little manifolds that you can twist space up into is basically infinite.
- It's a very fancy term, very mathematical term that applies to certain manifolds and string theory.
Examples
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We have explored for the very first time the structure of the high-dimensional facial manifold, revealing how it is clustered by age and ethnicity variations, and demonstrated for the first time accurate age prediction from 3D shape alone.
Academic text (2018) -
These are called the Calabi Yao manifolds, named after Yao, who is also here.
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And what you get there is a complex manifold or complex space.
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So now we can we can draw sort of a manifold of states.
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Physical time can be related in two quite different ways to the manifold in which motion is represented.
Blog text (26) -
If it is part of that manifold, then it functions as a coordinate.
Blog text (26) -
The number of little spaces, little manifolds that you can twist space up into is basically infinite.
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We live in a four-dimensional space-time manifold which, on all levels, consists of absolutely individual events, objects, situations, abstractions, etc.
Fiction book (2001) -
The interpretation of the perceptual-monadic world as a 4-dimensional differentiable manifold together with a fixed differentiable flow gives a basis for modern space-time theories.
Academic text (1998) -
In higher mathematics, a manifold can represent a complex surface that resembles Euclidean space in small regions.
Compounds
- Specialized
1
7.2
A pipe that collects hot gases from an engine and sends them to the exhaust pipe
- Specialized
1
7.0
A part of an engine that sends air or a mix of air and fuel to the cylinders
- Specialized
A part of an engine that sends air and sometimes fuel to the cylinders
Surface Forms
Etymology
Manifold in mathematics also comes from old words meaning 'many' and 'fold', so imagine many small pieces joined. A manifold is a shape that near each point looks like ordinary flat space, which is why it is like many flat parts forming one object.