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We consider the construction of a locally supersymmetric theory of massive electrons coupled to photons, order by order in the *Nike Free Run 5* gravitational coupling constant. It is found that the theory does not exist unless the electron is massless and free of electromagnetic interactions.
We examine designs and binary codes associated with the line graph of the nn-cube QnQn, i.e. the Hamming graph H(n,2)H(n,2). We find the automorphism groups and the parameters of the codes. We find a regular subgroup of the automorphism group that can be used for permutation decoding, or partial permutation decoding, for any information set.
The paper provides the expected level-crossing count, the expected level-crossing rate, the expected number of upcrossings and the expected length of excursions above a fixed level in a strictly stationary ellipsoidal process whose Cheap Nike Free Run 2 finite dimensional distributions are scale mixtures of normal distributions.
Investigating a question raised in a recent paper of Brezis–Marcus–Ponce [5] we show that if μ is a singular continuous Radon measure in the open subset U of RdRd, there is no continuous linear map f(uf,gf)f(uf,gf) from L1(μ)L1(μ) to H1(U)×L1(U)H1(U)×L1(U) such that fμ=Δuf+gffμ=Δuf+gf in the sense of distributions. A generalization is also described.