… As the input data are imprecise, this paper employs the affine arithmetic to incorporate the
effect of load data uncertainties on this analysis. The power flow model is expressed in terms …

… The idea is inspired by affine arithmetic [2] which has been successfully used to verify
analog/mixed-signal systems (eg [3], [4]). However, affine arithmetic is only capable of …

… Given the inability of simulation based methods to provide robust variable bounds, and
the limited accuracy of bounds from affine arithmetic in the presence of strongly non-affine …

… to the neural networks is that of affine arithmetic. Affine arithmetic is a technique which is …
by the affine arithmetic[22]. Here the idea is to represent an ideal quantity x by an affine form …

… affine arithmetic is essentially based on the trade-of between precision and time computation.
However some intrinsic properties of affine arithmetic … On the opposite, affine arithmetic …

… -based methods, via affine arithmetic and moment estimate method, [3], [4]. For example,
the evidence theory is used with the extended affine arithmetic to calculate the interval power …

… affine arithmetic for mathematical processing of measurement results”. This work is devoted
to the development of a software library that implements affine arithmetic … of affine arithmetic …

… Using our newly developed uniform framework for verified computations, we perform
tests with interval arithmetic, centered forms, affine arithmetic and Taylor models. Finally, we …

… Affine arithmetic is a kind of interval arithmetic defined by Stolfi et al. [1] [2]. Because affine
arithmetic is … On the one hand in affine arithmetic, it is difficult to realize the efficient nonlinear …

… In order to perform probabilistic roundoff error analysis we develop symbolic affine
arithmetic in Sect. 5. This technique is combined with probabilistic range analysis to compute …