1 − 2 + 4 − 8 + ⋯ a convergent geometric series whose sum is by the usual formula. The Borel sum of is also ; when Émile Borel introduced the limit formulation of Borel summation in 1896, this was one of his first examples after 1 − 1 + 1 − 1 + ⋯ 1 − 2 + 4 − 8 + ⋯ In mathematics, is the infinite series whose terms are the successive powers of two with alternating signs. As a geometric series, it is characterized by its first term, 1, and its common ratio, −2. As a series of real numbers it diverges, so in
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.