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The phrase "a manifold" is correct and usable in written English.
It can be used in contexts related to mathematics, engineering, or discussions about complex systems or structures.
Example: "In topology, a manifold is a fundamental concept that allows us to study shapes and spaces in a more generalized way."
Alternatives: "a complex structure" or "a diverse array".
Exact(60)
A deckhand tied the ship off while another hooked its hoses to a manifold.
It's an unusual film in the Ozu canon and a manifold delight on its own.
The burden of proof is a manifold and somewhat ambiguous concept in the law of evidence.
When we choose a metric on a manifold we determine the spectrum of the Laplace operator.
To summarise, a manifold is a strange (possibly high-dimensional) shape that can be described by a set of equations.
These basic aspects were the existence in nature of a manifold of different forms and of continuous change.
First: a group of mathematicians know as topologists started looking at what happens if you draw shapes on a manifold.
In the modern theory one imagines a space (usually a manifold) made up of overlapping coordinatized pieces.
(A manifold, also known as the state space or phase space, is the multidimensional analog of a curved surface).
In 1911 he established his theorems on the invariance of the dimension of a manifold under continuous invertible transformations.
A space can be endowed with various kinds of geometric structures: a real differentiable structure describes a manifold, a complex structure describes a complex manifold, and a Riemannian structure describes a manifold together with a metric.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com