Sentence examples for dimensional generalization of from inspiring English sources
We consider an infinite dimensional generalization of metaplectic representations (Weil representations) for the (double covering of) symplectic group.
The ripplet transform is a higher dimensional generalization of the curvelet transform, designed to represent images or two-dimensional signals at different scales and different directions.
The method we use is an infinite dimensional generalization of Laplace's method for finite dimensional integrals [33].
The X, Y, and Z positions of GFP foci were marked by hand in ImageJ and the distance between spots calculated by the three dimensional generalization of the Pythagorean theorem.
Roughly speaking, a manifold is the n-dimensional generalization of the idea of a surface; it is a space any small piece of which looks like a piece of n-dimensional space.
This paper presents a three-dimensional generalization of the bridging scale concurrent method, a finite temperature multiple scale method that couples molecular dynamics (MD) to finite elements (FE).
The procedure is a two-dimensional generalization of a previously published one-dimensional gapped smoothing method, whereby local features in vibration curvature shapes are extracted using a localized curve fit (i.e., smoothing).
Based on phase field microelasticity theory implemented in the slip plane using Green's function to describe the long-range elastic interaction, the MPF model is a three-dimensional generalization of the Peierls model.
