Sentence examples for are the almost complex from inspiring English sources

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A closed subspace of ({mathcal {A}}{mathcal {C}}(M)) consists of the set ( {mathcal {C}}(M)) of complex structures: these are the almost complex structures for which there are at each point x local holomorphic coordinates, i.e., ({mathbb {C}} -valued functions (z_1, ldots, z_n) whose differentials span the dual ((TM^{C}} -valuede }) ofunctions0}_y) for each point y in a neighbourhood of x.

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An almost contact structure is said to be normal if the almost complex structure J on the product manifold M ̄ × R is given by J X X, f d d t ) = ( ϕ X - f ξ, η ( X ) d d t ).

An almost contact structure is said to be normal if the almost complex structure J on the product manifold M ¯ × R given by J X X, f d d t ) = ( ϕ X − f ξ, η ( X ) d d t ), where f is a smooth function on M ¯ × R, has no torsion, i.e., J is integrable, the condition for normality in terms of ϕ, ξ and η is + 2 d η ⊗ ξ = 0 on M ¯, where is the Nijenhuis tensor of ϕ.

Taking, the decomposition is clearly stable for both the almost complex structures and on.

Anchoring it is the almost-completed TIFF Bell Lightbox, an immense glass complex and one-stop cinephile's paradise, ten years in the making, that will house screenings, gallery shows, exhibitions, workshops, multimedia events and more.

Let and be two almost complex manifolds.

Let be an almost complex manifold and an almost Hermitian manifold.

I bake batches of Torres' recipe at 12, 24, 36 and 48 hours, and the increased firmness of the older cookies is very noticeable, as is the more complex, almost caramelly flavour.

One of Mr. Transtromer's abiding interests — obsessions, almost is the complex nature of identity and the difficulty of safeguarding something so difficult to describe or analyze.

One of the most important protein complexes involved in maintaining correct RNA levels in eukaryotic cells is the exosome, a complex consisting almost exclusively of exoribonucleolytic proteins.

One reason ozone has largely been left out of greenhouse equations so far is that its relationships with other greenhouse gases and other compounds in the air are almost impossibly complex.

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