Sentence examples for be the truncation operator from inspiring English sources

Indeed, let (T_{varepsilon }:mathbb{R}tomathbb{R}) be the truncation operator defined in (2.11).

For every (varepsilon >0), let (T_{varepsilon }:mathbb{R}to mathbb{R}) be the truncation operator defined by T_{varepsilon }(s)=max bigl{ min bigl{ s,varepsilon ^{-1} bigr},-varepsilon ^{-1} bigr}.

The following lemmas will be applied to the truncation operators.

The following abstract lemmas will be applied to the truncation operators.

We introduce truncation operators related to and modify the truncation operator as follows.

For, we define the truncation operator with respect to the functions and given by (3.19).

By using (A2) and the definition of the truncation operator, we obtain (4.17).

One is the truncation error.

where T ( r, t ) is the truncation term.

are the truncation errors of equations (2.6) and (2.7), respectively.

The asterisk is the truncation symbol used with Ultraseek.