Simpson House.

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Steve Simpson

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On the Deligne-Simpson problem

The Deligne-Simpson problem is formulated like this: give necessary and sufficient conditions for the choice of the conjugacy classes Cj ⊂ SL(n,C) or cj ⊂ sl(n,C) so that there exist irreducible (p + 1)-tuples of matrices Mj ∈ Cj or Aj ∈ cj satisfying the equality M1 . . .Mp+1 = I or A1 + . . .+Ap+1 = 0. We solve the problem for generic eigenvalues with the exception of the case of matrices Mj ...

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Invited commentary: Barker meets Simpson.

In the current issue of the Journal, Tu et al. (1) show convincingly that if there is no correlation between birth weight and blood pressure but both are positively correlated with current weight (which they are), then adjustment for current weight can induce a negative correlation between birth weight and blood pressure. This demonstration may be important in stimulating epidemiologists to ret...

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ژورنال

عنوان ژورنال: Anaesthesia

سال: 1973

ISSN: 0003-2409,1365-2044

DOI: 10.1111/j.1365-2044.1973.tb00451.x