Theorem 1 (covering a polygon).
It was designed for 1 m3/day, covering 80 m2, packed with sand and gravel, and planted with Phragmites australis.
Data were downloaded in May 2005 (dataset 1), covering 1,823 microarray experiments, and in April 2006 (dataset 2, an update including dataset 1) covering 2,202 microarrays.
Recall that we have two 2 1 coverings: a homomorphism of groups (tau :, mathrm {Mp} rightarrow mathrm {Sp}_mathbb {R},), along with a homomorphism of semigroups (tau _H :, widetilde{mathrm {H}}(W^s) rightarrow mathrm {H}(W^s)).
Note also that the group (mathbb {Z}_2) acts on (widetilde{mathrm {H}}(W_0^s)) and (mathrm {Spin} (W_1)) by deck transformations of the 2 : 1 coverings (widetilde{mathrm {H}} (W_0^s) rightarrow mathrm {H}(W_0^s)) and (mathrm {Spin}(W_1) rightarrow mathrm {SO} (W_1)).
By the real-analytic diffeomorphism (mathrm {Sp}_mathbb {R} times M rightarrow mathrm {H} (W^s)), ((g,m) mapsto g m,), this map can be regarded as a 2 1 covering of (mathrm {H}(W^s)), and since any two 2 1 coverings are isomorphic we get an identification of the covering space (widetilde{mathrm {H}}(W^s)) with (mathrm {Mp} times M,).
Finding: Breach of rule 7.1, covering fairness.
Finding: Breach of rules 5.11 and 5.12, covering impartiality.
He had to play 29 Bh3, covering his king.
Mrs. Clinton would lower that to 25, covering an additional 13 million people, her campaign said.
Dr. Klein led the team that produced Volumes 3 through 6, covering 1909 through 1917.
