1 + 2 + 4 + 8 + ⋯ that and , but the underlying proofs demand careful thinking about the interpretation of endless sums. It is also possible to view this series as convergent in a number system different from the real numbers, namely, the 2-adic numbers. As a series of 2-adic numbers this series converges to the same sum, −1, as was derived above by analytic continuation. 1 + 2 + 4 + 8 + ⋯ In mathematics, is the infinite series whose terms are the successive powers of two. As a geometric series, it is characterized by its first term, 1, and its common ratio, 2.
Minim (religious order) Minim (religious order) The Minims (also called the Minimi or Order of Minims, abbreviated O.M.) are members of a Roman Catholic religious order of friars founded by Saint Francis of Paola in fifteenth-century Italy. The Order soon spread to France, Germany and Spain, and continues to exist today. Like the other mendicant Orders, there are three separate components, or Orders, of the movement: the friars, contemplative nuns and a Third Order of laypeople who live in the spirit of the Order in their daily lives. At present there are only two fraternities of the Minim tertiaries; both are in Italy.