False position method those relatively unusual unfavorable situations. The failure mode is easy to detect (the same end-point is retained twice in a row) and easily remedied by next picking a modified false position, such as or down-weighting one of the endpoint values to force the next to occur on that side of the function. The factor of 2 above looks arbitrary, but it guarantees superlinear convergence (asymptotically, the algorithm will perform two regular steps after any modified step, and has order of convergence 1.442). There are other ways to pick the rescaling which give even better superlinear convergence rates. The above adjustment
Midfielder According to positioning along the field, attacking midfield may be divided into "left, right" and "central attacking midfield" roles but mostly important he is a striker behind the forwards. A central attacking midfielder may be referred to as a "playmaker", or "number ten" (due to the association of the number 10 shirt with this position). A good attacking midfielder needs good passing abilities, vision, the ability to make long shots, and solid dribbling skills. These players typically serve as the offensive pivot of the team, and are sometimes said to be "playing in the hole," although this term can also