False position method double false position formula on that line segment. More precisely, suppose that in the -th iteration the bracketing interval is . Construct the line through the points and , as illustrated. This line is a secant or chord of the graph of the function . In point-slope form, its equation is given by Now choose to be the -intercept of this line, that is, the value of for which , and substitute these values to obtain Solving this equation for "c" gives: This last symmetrical form has a computational advantage: As a solution is approached, and will be very close
Always True to You in My Fashion 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 language before the song was written, and was the