Cornbread was on the table at each meal, but it was cooked in different ways: dog bread, milk bread, pone bread, fried bread, molasses bread, and clabber bread, which has a sour taste. The dog bread was put on the table each morning six days a week, cooked in a round cast-iron pan and cut like a pie to serve each person at the table.

This note is an exposition of different proofs of cocompactness for Sobolev-type embeddings, which employ methods of classical PDE, potential theory, and harmonic analysis.

The d-functions adapted to spherical symmetry divide the sphere in six quadrangles (around the three Cartesian axes) reserved for the e_g sub-shell and twelve hexagons for the t_(2g) sub-shell very similar to a cubic octakaidecahedron projected out to the sphere.

Perhaps another time. Good day.