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
Always True to You in My Fashion own sick way, I'll always stay true to you". Always True to You in My Fashion "Always True to You in My Fashion" is a 1948 show tune by Cole Porter, written for the musical "Kiss Me, Kate". It is based on "Non Sum Qualis Eram Bonae sub Regno Cynarae," a similarly ironic poem by the English Decadent poet Ernest Dowson (1867–1900), which has the refrain 'I have been faithful to thee, Cynara, in my fashion,' and which was probably inspired by Dowson's lifelong friend Adelaide Foltinowicz, who never returned his devotion. The phrase "faithful in my fashion" entered the