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foliation

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The answer FOLIATION has 1 possible clue(s) in existing crosswords.

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The word FOLIATION is VALID in some board games. Check FOLIATION in word games in Scrabble, Words With Friends, see scores, anagrams etc.

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Definitions of foliation in various dictionaries:

noun - (botany) the process of forming leaves

noun - (geology) the arrangement of leaflike layers in a rock

noun - (architecture) leaf-like architectural ornament

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Possible Crossword Clues
Leaves like this

Last Seen in these Crosswords & Puzzles
Aug 30 2011 Irish Times (Crosaire)

Possible Dictionary Clues
The process of splitting into thin sheets or laminae.
the process of splitting into thin sheets or laminae.
the work of coating glass with metal foil
the production of foil by cutting or beating metal into thin leaves
(architecture) leaf-like architectural ornament
(geology) the arrangement of leaflike layers in a rock
(botany) the process of forming leaves
The state of being in leaf.
Decoration with sculpted or painted foliage.
Architecture Decoration of an opening with cusps and foils, as in Gothic tracery.

Foliation description
In mathematics (differential geometry), a foliation is an equivalence relation on an n-manifold, the equivalence classes being connected, injectively immersed submanifolds, all of the same dimension p, modeled on the decomposition of the real coordinate space Rn into the cosets x + Rp of the standardly embedded subspace Rp. The equivalence classes are called the leaves of the foliation. If the manifold and/or the submanifolds are required to have a piecewise-linear, differentiable (of class Cr), or analytic structure then one defines piecewise-linear, differentiable, or analytic foliations, respectively. In the most important case of differentiable foliation of class Cr it is usually understood that r ≥ 1 (otherwise, C0 is a topological foliation). The number p (the dimension of the leaves) is called the dimension of the foliation and q = n - p is called its codimension. * In physics (relativity), by foliation (or slicing) it is meant that the manifold (spacetime) is decomposed into hypersurfaces of dimension p and there exists a smooth scalar field which is regular in the sense that its gradient never vanishes, such that each hypersurface is a level surface of this scalar field. Since the scalar field is regular, the hypersurfaces are non-intersecting. It is usually assumed that the manifold is globally hyperbolic, all hypersurfaces are spacelike, and the foliation covers the whole manifold. Each hypersurface is called a leaf or a slice of the foliation.

Foliation description

In mathematics (differential geometry), a foliation is an equivalence relation on an n-manifold, the equivalence classes being connected, injectively immersed submanifolds, all of the same dimension p, modeled on the decomposition of the real coordinate space Rn into the cosets x + Rp of the standardly embedded subspace Rp. The equivalence classes are called the leaves of the foliation. If the manifold and/or the submanifolds are required to have a piecewise-linear, differentiable (of class Cr), or analytic structure then one defines piecewise-linear, differentiable, or analytic foliations, respectively. In the most important case of differentiable foliation of class Cr it is usually understood that r ≥ 1 (otherwise, C0 is a topological foliation). The number p (the dimension of the leaves) is called the dimension of the foliation and q = n - p is called its codimension.
* In physics (relativity), by foliation (or slicing) it is meant that the manifold (spacetime) is decomposed into hypersurfaces of dimension p and there exists a smooth scalar field which is regular in the sense that its gradient never vanishes, such that each hypersurface is a level surface of this scalar field. Since the scalar field is regular, the hypersurfaces are non-intersecting. It is usually assumed that the manifold is globally hyperbolic, all hypersurfaces are spacelike, and the foliation covers the whole manifold. Each hypersurface is called a leaf or a slice of the foliation.

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