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,
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