The main problems in relation to automatic fault finding and information about the past history of the system (inand diagnosis in equipments or production systems are discussed: cluding maintenance and operational utilization); all these 1) compression of the syndrome and observation spaces for better discrimdata determine the failure pattern vector. ination between failure modes; 2) simultaneo...

The main problems in relation to automatic fault finding and information about the past history of the system (inand diagnosis in equipments or production systems are discussed: cluding maintenance and operational utilization); all these 1) compression of the syndrome and observation spaces for better discrimdata determine the failure pattern vector. ination between failure modes; 2) simultaneo...

PARABOLIC SYSTEMS 185 such that u = F(F 1u). We de ne u(A) 2 B(X) by (1:3) u(A)x = ZRn(F 1u)( )e i( ;A)x d for x 2 X: De ne MN (FL1) = f(ujk); ujk 2 FL1g. Similarly, MN(Lp) and so on. If u = (ujk) 2 MN(FL1) then u(A) (ujk(A)) 2 B(XN ). It is known that MN (FL1) is a (non-commutative) Banach algebra under matrix pointwise multiplication and addition with norm kukFL1 kF 1ukL1 , where F 1u = (F 1u...

This paper introduces the theory of a particular kind of computation domains called concrete domains. The purpose of this theory is to nd a satisfactory framework for the notions of coroutine computation and sequentiality of evaluation. Diagrams are emphasized because I believe that an important part of learning lattice theory is the acquisition of skill in drawing diagrams. George Gr atzer 1 ...