Affine Form Simplification
Since each AA operation generally creates a new symbol, the number of terms in an affine form may be proportional to the number of operations used to compute it. Thus, it is often necessary to apply "symbol condensation" steps, where two or more symbols are replaced by a smaller set of new symbols. Geometrically, this means replacing a complicated zonotope P by a simpler zonotope Q that encloses it. This operation can be done without destroying the first-order approximation property of the final zonotope.
Read more about this topic: Affine Arithmetic
Famous quotes containing the word form:
“and so this tree—
Oh, that such our death may be!—
Died in sleep, and felt no pain,
To live in happier form again:
From which, beneath Heaven’s fairest star,
The artist wrought this loved guitar;”
—Percy Bysshe Shelley (1792–1822)