Let V be a maximal globally hyperbolic flat n+1–dimensional space–time with compact Cauchy surface of hyperbolic type. We prove that V is globally foliated by constant mean curvature hypersurfaces Mτ , with mean curvature τ taking all values in (−∞, 0). For n ≥ 3, define the rescaled volume of Mτ by H = |τ | Vol(M, g), where g is the induced metric. Then H ≥ nVol(M, g0) where g0 is the hyperbol...

sgn(z) = ( 1 if Re(z) > 0, −1 if Re(z) < 0 for z ∈ C lying off the imaginary axis. Next, the matrix sign function is given by sgn(M) = U sgn(Λ)U−1 where M ∈ C n×n is a Hermitian matrix with no eigenvalues on the imaginary axis. The unitary n×n matrix U has column vectors equal to the orthonormal eigenvector basis of C n determined byM , and the diagonal n×n matrix Λ has components equal to the ...

using uv-vis spectrophotometric method the interaction of water soluble phthalocyanine, cobalt(ιι) 4,4′,4′′,4′′′- tetrasulfophthalocyanine(cotspc), with bovine serum albumin (bsa) to determine the formation constant and related thermodynamic functions. the measurements were considered in 1mm sodium phosphate buffer, ph 7.0 and at 5 different temperatures 20, 25, 30, 35 and 40ºc. the results sho...