Example: air traffic controller
For The Remainder Term
Found 2 free book(s)Higher-Order Derivatives and Taylor’s Formula in Several ...
sites.math.washington.eduthe mixed derivatives @ j@ k (j6= k) occur twice in (6) (since @ j@ k = @ k@ j) but only once in (7) (since j<kthere); this accounts for the disappearance of the factor of 1 2 in the last sum in (7). As in the one-variable case, the following estimate for the remainder term follows from
Lagrange’s Interpolation Formula
www-classes.usc.eduThe first term is considered the remainder term as it is not in the difference table, so f(x) can be expressed approximately in terms of the divided differences as f(x) ≈ f(x0)+(x−x0)f(x0,x1)+(x−x0)(x−x1)f(x0,x1,x2), a second order formula. The …