… The first problem is that common adaptive criteria (interval, affine or revised affine arithmetic)
do … can be further improved by applying interval or affine arithmetic to the found unit cells. …

… Finally as a comparison, we present the estimated maximum using affine arithmetic (AA) [6] …
Our estimations are similar to affine arithmetic estimation for linear sytems and more …

… More recently, Goubault and Martel and others [13, 16, 17, 22, 35, 38, 39] have built abstract
semantics and static analyses using affine arithmetic. These techniques, like any static …

… • Formal methods: With affine arithmetic or other set based reachability methodologies, we
can compute a reachable set for a whole parameter set. The methods allow additionally to …

The main result of this book is a proof of the contradictory nature of the Navier‒Stokes problem
(NSP). It is proved that the NSP is physically wrong, and the solution to the NSP does not …

… Modified Affine Arithmetic Division … Capacitor placement and sizing to minimize losses in
a radial distribution network considering uncertainty using modified affine arithmetic division …

… According to the philosophy of the affine arithmetic, a new definition of the extra symmetric
unitary interval (NEUI) variable e ˆ i I ≜ [ − 1 , + 1 ] ( i = 1 , 2 , ⋅ ⋅ ⋅ , r ) is herein proposed as a …

… In particular, instead of using affine arithmetic as previously to propagate existing errors, we
… This is in contrast to the local linear approximations that affine arithmetic performs at each …

… such a vision, this chapter will analyze two advanced techniques for power flow analysis
in the presence of data uncertainty namely the boundary power flow and the affine arithmetic …

… This situation was not improved until a novel range arithmetic model—affine arithmetic—was …
i=1 ziεi after a sequence of affine arithmetic operations, we still assume—an approximation …