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The construction of one sparked protests that turned violent in 2012, which could be taken either as a dim sign for the future of Hainan's air, or, more optimistically, proof of how seriously Hainan's residents take environmental threats. .
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Definition For a fixed simplex x in the graph G and an endomorphism T, define the index i T ( x ) = ( − 1 ) dim ( x ) sign ( T | x ), where sign ( T | x ) is the signature of the permutation T induces on x.
We prove a Lefschetz formula L ( T ) = ∑ x ∈ F i T ( x ) for graph endomorphisms T : G → G, where G is a general finite simple graph and ℱ is the set of simplices fixed by T. The degree i T ( x ) of T at the simplex x is defined as ( − 1 ) dim ( x ) sign ( T | x ), a graded sign of the permutation of T restricted to the simplex.
We found that the degree (which we also often call index) i T ( x ) = ( − 1 ) dim ( x ) sign ( T | x ).
For every fixed x we have i T ( x ) = ( − 1 ) dim ( x ) sign ( T | x ) and averaging over all T gives zero except if x is a vertex, where κ ( x ) = | A x | | A | = 1 n + 1.
The house lights dimmed, the sign lighted up, and the Hives hit the stage, five guys wearing white ties tucked into black shirts.
After the complaints began, Colossal Vision dimmed the sign by more than 50percentt in the evening and turned it off after midnight, Mr. Niles said.
I've thrown away the scar creams that promise to lighten and dim the signs of scars.
Reports were that O.C duo PeaceTreaty were incommunicado for the majority of 2013, but the Dim Mak-signed pair have forged a peace treaty of their own (yes! pun!) and have been squirreled away in the studio since then.
Except, for dim and dirty sign on 225th St. bridge in Spuyten Duyvil advising visitor he is entering Manhattan no intimation given of whereabouts.
These areas - rooms or hallways - are illuminated only by a (dim) red exit sign.
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