False position method to "regula falsi" is sometimes called the Illinois algorithm. Ford (1995) summarizes and analyzes this and other similar superlinear variants of the method of false position. Put simply: When the new -value (that is, )) has the same sign as the previous one ()), meaning that the end point of the previous step will be retained, the Illinois version halves the -value of the retained end point in the next estimate computation. Suppose that in the -th iteration the bracketing interval is and that the functional value of the new calculated estimate has the same sign as . In this
Midfielder a wide midfielder, a shuttler, somebody who might be expected to cross a ball but was also meant to put in a defensive shift." A notable example of a right midfielder is David Beckham. The historic position of wing half (half-back) was given to midfielders who played near the side of the pitch. It became obsolete as wide players with defensive duties have tended to become more a part of the defence as full-backs. Defensive midfielders are midfield players who focus on protecting their team's goal. These players may defend a zone in front of their team's defence, or man