Приклади вживання Manifolds Англійська мовою та їх переклад на Українською
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All closed surfaces(i.e. 2-dimensional manifolds) are essential with the exception of the 2-sphere S2.
Several results on the existence of invariant exponentially attracting manifolds for similar problems were obtained earlier.
Differential geometry studies structures on manifolds that do have an interesting local(or sometimes even infinitesimal) structure.
valves and manifolds.
All manifolds and CW complexes are locally contractible,
infinitedimensional manifolds and submanifolds”.
leaks in water pipelines, manifolds, places of hidden water discharge.
To put it succinctly, differential topology studies structures on manifolds which, in a sense, have no interesting local structure.
pipes, manifolds and accessories such as hoses;
Differential geometry is such a study of structures on manifolds that have one or more non-trivial local moduli.
In algebraic geometry, the geometric genus is a basic birational invariant pg of algebraic varieties and complex manifolds.
including manifolds, vector fields,
properties of structures on manifolds that have only trivial local moduli.
More mathematically, for example, the problem of constructing a diffeomorphism between two manifolds of the same dimension is inherently global since locally two such manifolds are always diffeomorphic.
Steel radiators are a cast product, with upper and lower manifolds, and a vertical channel that connects them.
All alloy quad overhead cam 48-valve 5935cc V12 with revised inlet manifolds.
for differentiable maps between manifolds, for differentiable functions between Banach spaces,
A vehicle with two manifolds and two exhaust tips may still have a single exhaust.
topside processing facilities and subsea manifolds in oil and gas industry;
I found that for a lot of the theory(such as Hodge theory on complex manifolds, etc.), I didn't really understand it