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 (unit) Minim (unit) The minim (abbreviated min, , , or ) is a unit of volume in both the imperial and US customary systems of measurement. Specifically it is of a fluidram or of a fluid ounce. In the Pharmacopoeia, it is also noted that the minim was originally created by Mr Timothy Lane, F.R.S., as parts per wine gallon. The minim was introduced in the 1809 edition of "The Pharmacopœia of the Royal College of Physicians of London" as a replacement for the drop, which had previously been the smallest unit of the apothecaries' system. It was observed that the