Ma

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The ma Ni Song 4

The ma Ni song is a traditional religious song, sung on pilgrimage to holy places, herding livestock on the mountains, and when holding a smyung gnas 'fasting ritual'This collection presents forty-nine audio files including: several folk song genres; folktales and; local history from the Sman shad Valley of Sde dge CountyWorld Oral Literature Projec

L² -estimates for the evolving surface finite element method

In this paper we consider the evolving surface finite element method for the advection and diffusion of a conserved scalar quantity on a moving surface. In an earlier paper using a suitable variational formulation in time dependent Sobolev space we proposed and analysed a finite element method using surface finite elements on evolving triangulated surfaces. An optimal order H¹ -error bound was proved for linear finite elements. In this work we prove the optimal error bound in L² (Γ(t)) uniformly in time

The ma Ni Song 3

The ma Ni song is a traditional religious song, sung on pilgrimage to holy places, herding livestock on the mountains, and when holding a smyung gnas 'fasting ritual'This collection presents forty-nine audio files including: several folk song genres; folktales and; local history from the Sman shad Valley of Sde dge CountyWorld Oral Literature Projec

Axiomatic differential geometry II-1 - vector fields

In our previous paper entitled \Axiomatic di erential geometry I - towards model categories of di erential geometry", we have given a category-theoretic framework of di erential geometry. As the rst part of our series of papers concerned with di erential-geometric developments within the above axiomatic scheme, this paper is devoted to vector elds. The principal result is that the totality of vector elds on a microlinear and Weil exponential object forms a Lie algebra