The problem considered here concerns the construction of a stochastic reduced-order model for dynamical structures having a high modal density in the low frequency range. The classical methods used for the low-frequency range to construct a reduced-order model are not adapted in this case. We then use a recently proposed method which consists in constructing a basis of the global displacements ...

We present a new formulation of some basic differential geometric notions on a smooth manifold M , in the setting of nonstandard analysis. In place of classical vector fields, for which one needs to construct the tangent bundle of M , we define a prevector field, which is an internal map from ∗M to itself, implementing the intuitive notion of vectors as infinitesimal displacements. We introduce...

Deformable surface models are often represented as triangular meshes in image segmentation applications. For a fast and easily regularized deformation onto the target object boundary, the vertices of the mesh are commonly moved along line segments (typically surface normals). However, in case of high mesh curvature, these lines may not intersect with the target boundary at all. Consequently, ce...

Having just returned from the Greifswald Frauenklinik, where I had spent seven months as a junior assistant with Prof. Martin, I ventured to point out that in spite of Dr Bantock's condemnation, operation was the rule, and not the exception, in the treatment of these cases in that hospital. Since that time I have had considerable experience in dispensary and private practice in treating cases o...

Metrics, which facilitate the measurement of parameters such as “distance” and “length” are used frequently in rigid body guidance problems. Commonly used metrics have a characteristic of being dependent on the choice of fixed or moving reference frame and the units used. Most motion synthesis algorithms require some notion of the “distance” between two desired locations. The metrics in Euclide...

japan is a region of active plate tectonics, well known for its japanese trench a geological feature evolving as a result of north pacific (np) oceanic plate pushing and sub-ducting underneath the north american (na) plate. multiple plate tectonics have been continuously recorded in the region since 1979 by the network of gps stations called geonet. the network operating and monitoring more tha...