… Bounding intervals can be computed by interval or affine arithmetic [10, 13, 4], which is the
… However, each arithmetic operation then has to be performed in interval or affine arithmetic …

… A further approach is affine arithmetic [5] which can be interpreted as a version of the Taylor
… arithmetic’ [8, 15] which is similar to affine arithmetic, but now with interval coefficients. …

… We begin with the case of an affine arithmetic scheme X0 = spec R0 and write X = spec R.
Viewing • … For a covering of X0 by open affine arithmetic subschemes Xi 0, the space …

… Affine Arithmetic … The role of interval and affine arithmetic in the solution to problems is
also discussed. Applications to geometric modeling and animation are given. …

A novel method to deal with structures with uncertain-but-bounded parameters is presented.
In order to reduce or eliminate the overestimations due to the so-called dependency …

… Authors in [25, 26] use the affine arithmetic (AA) for the same reason. Interval arithmetic (IA)
approach establishes worst case bounds on each intermediate step of the calculation by …

… This linear relaxation are generated using an extension of affine arithmetic [12, 14]. To ensure
the numerical reliability of the solutions provided by a linear solver (here, we used CPLEX)…

… Affine arithmetic is a more accurate extension of interval arithmetic, that takes into account
affine correlations between variables. An affine form is a formal sum over a set of noise …

In previous works on ECC (Elliptic Curve Cryptography), the case of characteristic three has
been considered relatively less than cases of fields of even characteristic and large prime …

… [[PdFS06]] visualize 2D strange attractors using affine arithmetic, which gives tighter
bounds than interval arithmetic. Rössler [[Rös76]] discovered a simpler system of three ODEs, …