High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! In a useful sense, s = is a root of the equation s = 1 + 2s. (For example, is one of the two fixed points of the Mobius transformation z -> 1 + 2z on the Riemann sphere.) If some summation method is known to return an ordinary number for s, i.e. not , then it is easily determined. In this case s may be subtracted from both sides of the equation, yielding 0 = 1 + s, so s = –1. The above manipulation might be called on to produce –1 outside of the context of a sufficiently powerful summation procedure. For the most well-known and straightforward sum concepts, including the fundamental convergent one, it is absurd that a series of positive terms could have a negative value. A similar phenomenon occurs with the divergent geometric series 1 – 1 + 1 – 1 + · · ·, where a series of integers appears to have the non-integer sum 1/2.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.