errors (SEs), from which one can calculate confidence intervals to reach the conclusions we made – that the social gradient in non-fatal accidents appears not to be increasing and the total rates are falling in men. The data published in the Health Survey for England (HSE) 2001 refer to social class of the head of the household, as is now customary in the HSE, while the rates presented in our p...

We quantify how well matrix product states approximate exact ground states of one-dimensional quantum spin systems as a function of the number of spins and the entropy of blocks of spins. We also investigate the convex set of local reduced density operators of translational invariant systems. The results give a theoretical justification for the high accuracy of renormalization group algorithms ...

‎we call a ring $r$ right generalized semiperfect if every simple right $r$-module is an epimorphic image of a flat right $r$-module with small kernel‎, ‎that is‎, ‎every simple right $r$-module has a flat $b$-cover‎. ‎we give some properties of such rings along with examples‎. ‎we introduce flat strong covers as flat covers which are also flat $b$-covers and give characterizations of $a$-perfe...