False position method As a result, unlike the bisection method, the width of the bracket does not tend to zero (unless the zero is at an inflection point around which ). As a consequence, the linear approximation to , which is used to pick the false position, does not improve as rapidly as possible. One example of this phenomenon is the function on the initial bracket [−1,1]. The left end, −1, is never replaced (it does not change at first and after the first three iterations, is negative on the interval) and thus the width of the bracket never falls below 1. Hence,
Midfielder Midfielder A midfielder is an association football position. Midfielders are generally positioned on the field between their team's defenders and forwards. Some midfielders play a disciplined defensive role, breaking up attacks, and are otherwise known as defensive midfielders. Others blur the boundaries, being more mobile and efficient in passing: they are commonly referred to as deep-lying midfielders, play-makers, box-to-box, or holding midfielders. The number of midfielders on a team and their assigned roles depends on the team's formation; the collective group of these players on the field is sometimes referred to as the midfield. Most managers assign at least one