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1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series 1 2 + 1 4 + 1 8 + 1 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation ...
1 − 2 + 4 − 8 + ⋯. In mathematics, 1 − 2 + 4 − 8 + ⋯ 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 the usual sense it has no sum.
1/2 − 1/4 + 1/8 − 1/16 + ⋯. In mathematics, the infinite series 1/2 − 1/4 + 1/8 − 1/16 + ⋯ is a simple example of an alternating series that converges absolutely . It is a geometric series whose first term is 1 2 and whose common ratio is − 1 2, so its sum is.
A chuck is a specialized type of clamp used to hold an object with radial symmetry, especially a cylinder. In a drill, a mill and a transmission, a chuck holds the rotating tool; in a lathe, it holds the rotating workpiece. [1] Chucks commonly use jaws to hold the tool or workpiece. The jaws (sometimes called dogs) are typically arranged in a ...
One particular type of reduced-shank drill bits are Silver & Deming (S&D) bits, whose sets run from 9 ⁄ 16-inch (14 mm) to 1 + 1 ⁄ 2-inch (38 mm) drill body diameter with a standard 1 ⁄ 2-inch (13 mm) reduced shank for all. This allows drill presses with 1 ⁄ 2-inch (13 mm) chucks to run the larger drills. S&D bits are 6 inches (150 mm ...
In mathematics, the Kolakoski sequence, sometimes also known as the Oldenburger–Kolakoski sequence, [1] is an infinite sequence of symbols {1,2} that is the sequence of run lengths in its own run-length encoding. [2] It is named after the recreational mathematician William Kolakoski (1944–97) who described it in 1965, [3] but it was ...
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