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:
“I know no method to secure the repeal of bad or obnoxious laws so effective as their stringent execution.”
—Ulysses S. Grant (18221885)
“You that do search for every purling spring
Which from the ribs of old Parnassus flows,
And every flower, not sweet perhaps, which grows
Near thereabouts into your poesy wring;
You that do dictionarys method bring
Into your rhymes, running in rattling rows;”
—Sir Philip Sidney (15541586)
“A method of child-rearing is notor should not bea whim, a fashion or a shibboleth. It should derive from an understanding of the developing child, of his physical and mental equipment at any given stage, and, therefore, his readiness at any given stage to adapt, to learn, to regulate his behavior according to parental expectations.”
—Selma H. Fraiberg (20th century)