Method
For two given sequences and, with, one wants to study the sum of the following series:
If we define then for every and
Finally
This process, called an Abel transformation, can be used to prove several criteria of convergence for .
Read more about this topic: Summation By Parts
Famous quotes containing the word method:
“There is no method but to be very intelligent.”
—T.S. (Thomas Stearns)
“I am not afraid of the priests in the long-run. Scientific method is the white ant which will slowly but surely destroy their fortifications. And the importance of scientific method in modern practical life—always growing and increasing—is the guarantee for the gradual emancipation of the ignorant upper and lower classes, the former of whom especially are the strength of the priests.”
—Thomas Henry Huxley (1825–95)
“Relying on any one disciplinary approach—time-out, negotiation, tough love, the star system—puts the parenting team at risk. Why? Because children adapt to any method very quickly; today’s effective technique becomes tomorrow’s worn dance.”
—Ron Taffel (20th century)