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Generally, controlling patient dose also reduces scatter and limits operator dose.
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If any operating parameter is out of limits, operators should receive warnings and take measures immediately.
denotes the limit operator.
The limiting operator (R'(g)) is independent of the sequence ({ x_n },).
The result for the limit operator (bar{L}_{0,A} ) is well known and contained for example in [11].
We consider the system (1.1) in the case of identical non-invertibility of the limit operator A ( t ).
If (( T_{n} ) ) is uniformly operator convergent, say, if (Vert T_{n}-T Vert rightarrow0), then the limit operator T is compact.
The properties of the limiting operator according to the entropy-minimum principle are proofed, and an optimal CFL-criterion is derived.
In [27], new estimates uniform in (epsilon ) have been provided, in the time independent setting which are optimal with respect to the decay of the limit operator.
We write (T_{n} (f, x)) for (T_{n}(f (t), x)) and we say that its limit operator i.e. T is a non-negative operator if (T f, x) geq0) for all (f (x) geq0).
We then establish uniform resolvent convergence of a sequence of Dirichlet-to-Neumann operators whenever the underlying coefficients converge uniformly and the second-order limit operator in L2 has the unique continuation property.
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