Green's Lemma for groupoids

n-groupoids and stacky groupoids

We discuss two generalizations of Lie groupoids. One consists of Lie n-groupoids defined as simplicial manifolds with trivial πk≥n+1. The other consists of stacky Lie groupoids G ⇒ M with G a differentiable stack. We build a 1–1 correspondence between Lie 2-groupoids and stacky Lie groupoids up to a certain Morita equivalence. We prove this in a general set-up so that the statement is valid in ...

Genes, greens, and homocysteine.

Greens Functions for 3-D Seismic Migration

The space-time Greens functions for 3-D poststack and 3-D prestack migration in a homogeneous medium are derived under the fareld approximation. These Greens functions can be used to practically compute synthetic migrated images. Examples are given for the recording footprint noise associated with a point scatterer and a meandering river channel. The Greens functions also provide fundamental in...

Sod for Greens and Tees Penncross Bent

Turfgrass évapotranspiration. R. Tovey, J. S. Spencer and D. C. • Muckel. 1969. Agronomy Journal. 61:863-867. (from the University of Nevada, Reno, Ne v. 89507). The lysimeter technique was utilized to measure the rate of évapotranspi ra t ion from two types of turf grown on two different soil textures. The two types of turfgrass were (a) a cool season turf composed primarily of Kentucky bluegr...

Greens Functions for the Wave Equation

I gather together known results on fundamental solutions to the wave equation in free space, and Greens functions in tori, boxes, and other domains. From this the corresponding fundamental solutions for the Helmholtz equation are derived, and, for the 2D case the semiclassical approximation interpreted back in the time-domain. Utility: scarring via time-dependent propagation in cavities; Math 4...