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searching for Partition of unity 12 found (53 total)

Ivo Babuška (912 words) [view diff] exact match in snippet view article find links to article

element method. He also developed the mathematical framework for the partition of unity methods. Babuška was elected as a member of the National Academy of

Analyticity of holomorphic functions (1,136 words) [view diff] exact match in snippet view article find links to article

as it precludes the use of partitions of unity. In contrast the partition of unity is a tool which can be used on any real manifold. The argument, first

Non-uniform rational B-spline (4,626 words) [view diff] exact match in snippet view article find links to article

particular value of the parameter is unity. This is known as the partition of unity property of the basis functions. The figures show the linear and the

Support (mathematics) (2,721 words) [view diff] exact match in snippet view article

on the compactness of the support of ϕ {\displaystyle \phi } and a partition of unity shows that f ( ϕ ) = 0 {\displaystyle f(\phi )=0} as well. Hence we

Projection-valued measure (2,507 words) [view diff] exact match in snippet view article find links to article

replaced by the idea of a set of operators that are a non-orthogonal "partition of unity", i.e. a set of positive semi-definite Hermitian operators that sum

Malgrange preparation theorem (849 words) [view diff] exact match in snippet view article find links to article

decomposing a smooth function as a sum of analytic functions by applying a partition of unity to its Fourier transform. For a proof along these lines see (Mather

Hyperfunction (1,966 words) [view diff] exact match in snippet view article find links to article

the convolution of itself with the Dirac delta function. Using a partition of unity one can write any continuous function (distribution) as a locally

Radial basis function (1,738 words) [view diff] case mismatch in snippet view article find links to article

Alfa; Larsson, Elisabeth (2015-08-01). "A Radial Basis Function Partition of Unity Collocation Method for Convection–Diffusion Equations Arising in Financial

Differential form (10,058 words) [view diff] exact match in snippet view article find links to article

ω is independent of the chosen chart. In the general case, use a partition of unity to write ω as a sum of n-forms, each of which is supported in a single

World manifold (1,526 words) [view diff] exact match in snippet view article find links to article

completely regular space. Being paracompact, a world manifold admits a partition of unity by smooth functions. Paracompactness is an essential characteristic

YaDICs (2,141 words) [view diff] exact match in snippet view article find links to article

and local transformation. The elastic transformations respect the partition of unity, there are no holes created or surfaces counted several times. This

Fundamental polygon (6,002 words) [view diff] exact match in snippet view article find links to article

2-manifolds with the same genus are diffeomorphic. In fact using a partition of unity, every closed orientable 2-manifold admits a Riemannian metric. For