Viscous polymers tackle the prediction of the accommodated cycle from which fatigue criterion parameters should be computed, within a formalism adapted to structure calculation.
It addresses the issue of what can be computed within a practical or reasonable amount of time and space by measuring the resource requirements exactly or by obtaining upper and lower bounds.
Since (C_{i}) ((i=0,1,ldots,m)) is a closed ball with center (c_{i}) and radius 1, (P_{i}) can be computed within a finite number of arithmetic operations.
Since C is a closed ball with center c and radius 1, (P_{C}) can be computed within a finite number of arithmetic operations.
The projections (P_{C}) and (P_{k}^{(i)}) ((iinbar{mathcal{I}}), (kin mathcal{K})) can be computed within a finite number of arithmetic operations ([15], Chapter 28), and hence, (T^{(i)}) ((iinbar{mathcal{I}})) can also be computed easily.
Then we can set a bounded set V with Fix ( T ) ⊂ V onto which the projection can be computed within a finite number of arithmetic operations (e.g., V is a closed ball with a large enough radius).
Then we can set a bounded, closed convex set C ( ⊃ Fix ( T ) ) such that P C can be computed within a finite number of arithmetic operations (e.g., C is a closed ball with a large enough radius).
Note that the projection P C i ( i = 1, 2 ) can be computed within a finite number of arithmetic operations [[36], p.406] because C i ( i = 1, 2 ) is halfspace.
Then, the similarity scores between a node and its neighbors are computed within a sub-graph around this node to reduce the computational time.
The acoustic transmission properties through the modelled panel are computed within a Statistical Energy Analysis (SEA) scheme.
