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Showing 1 to 5 of 5 for “"Laurent series"”.
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Hardy-space Function Theory on Finitely Connected Planar Domains
… is the approach done by Donald Sarason using Laurent series. We present the more complicated function theory, without the use of either power series or Laurent series, for finitely-connected planar domains.
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Local-to-Global extensions for wildly ramified covers of curves
… neighborhood of x induces a Galois extension of Laurent series rings k((u))/k((t)). If we fix a base curve Y, we can ask when a Galois extension of Laurent series fields comes from a global cover of Y in this way. Harbater proved that over a separably closed field, every Laurent series extension …
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Algorithms for Regular Chains of Dimension One
… BPAS library. On the other hand, multivariate Laurent series are a generalization of multivariate power series. They play an important roll when defining Puiseux series, and in consequence, they are required to implement Nowak’s version of the famous Newton-Puiseux algorithm. In this document, …
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Crack growth in unidirectional composites using singular finite elements and interactive computer graphics
… problem with the stress function expressed in a Laurent series. The geometry of the element is arbitrary. The development of the stiffness matrix for general anisotropic materials is presented and it is shown how the singular element can be incorporated into a conventional displacement based …
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Chemo-poro-elastic fracture mechanics of wellbore cement liners : the role of eigenstress and pore pressure on the risk of fracture
… placement of the casing is quantified in a novel Laurent series solution to the stress state. Finally, energy release rates are derived for (i) the micro-annulus formation along the steel-cement and rock-cement interfaces, and (ii) the occurrence of a single radial fracture emanating from the …