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3dimensional noncompact infranilmanifolds
The dimension of the rectangular product of lattices
The strong laws of large numbers for weighted sums of pairwise quadrant
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1991 Mathematics Subject 3-braid admissible form assume boundary bounded C*-algebra compact complete Riemannian manifold compute condition conjugate constant convergence Corollary crossed products curve defined denote diagonal digraph dim(P discrete divisor Enriques surface exists Ferrers relation finite element formula geodesic given harmonic function Heegaard diagram Hence idempotent implies inequality irreducible isometry isomorphic iterative join-cover Korea E-mail Korean Mathematical Society lattice implication algebra Lemma Li-ideal linear system M-matrix Math Mathematics Subject Classification matrix MESL method nonnegative nonzero normal quintic surface Note obtain ordered set orthogonal orthogonal matrix pair pairwise paper partition function polynomial preconditioners problem Proposition prove quasi-definite quaternionic random variables representation representative symbol resp respectively result Ricci curvature Riemannian manifold rough isometry satisfies semigroup Seoul sequence sign pattern singular solution space subset symmetric tacnodal Theorem Theorem 3.1 timelike unique vector vertices zero