منابع مشابه
Exterior Powers
Let R be a commutative ring. Unless indicated otherwise, all modules are R-modules and all tensor products are taken over R, so we abbreviate ⊗R to ⊗. A bilinear function out of M1 × M2 turns into a linear function out of the tensor product M1 ⊗ M2. In a similar way, a multilinear function out of M1 × · · · ×Mk turns into a linear function out of the k-fold tensor product M1 ⊗ · · · ⊗Mk. We wil...
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Abstract-Continuing a recent investigation of interface cracks, attention is paid to the exterior crack. Two elastic solids bonded over a finite segment of their boundary and capable of transmitting shear and tensile tractions are considered. It is found that one of the edge cracks remains completely closed under shear alone, and opens gradually as the level of tension is increased. Both crack ...
متن کاملDiscrete Exterior Calculus
The language of modern mechanics is calculus on manifolds, and exterior calculus is an important part of that. It consists of objects like differential forms, general tensors and vector fields on manifolds, and operators that act on these. While the smooth exterior calculus has a long history going back to Cartan, Lie, Grassmann, Hodge, de Rham and many others, the need for a discrete calculus ...
متن کاملChapter 3 Discrete Exterior
We present a theory and applications of discrete exterior calculus on simplicial complexes of arbitrary finite dimension. This can be thought of as calculus on a discrete space. Our theory includes not only discrete differential forms but also discrete vector fields and the operators acting on these objects. This allows us to address the various interactions between forms and vector fields (suc...
متن کاملExterior Orientation Parameters
The georeference of any photogrammetric product is based on the reconstruction of the geometric relations of imaging in a chosen object coordinate system. For the handling of aerial photos traditionally the bundle of rays from the image points over the projection center to the ground points is modelled by means of the camera calibration information and the exterior orientation determined by mea...
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ژورنال
عنوان ژورنال: Aragón en la Edad Media
سال: 2016
ISSN: 2387-1377,0213-2486
DOI: 10.26754/ojs_aem/aem.2015261269