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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 ...
Non-breaking space. In word processing and digital typesetting, a non-breaking space ( ), also called NBSP, required space, [1] hard space, or fixed space (in most typefaces, it is not of fixed width ), is a space character that prevents an automatic line break at its position. In some formats, including HTML, it also prevents consecutive ...
One half is a rational number that lies midway between nil and unity (which are the elementary additive and multiplicative identities) as the quotient of the first two non-zero integers, . It has two different decimal representations in base ten, the familiar and the recurring , with a similar pair of expansions in any even base; while in odd ...
1/4 + 1/16 + 1/64 + 1/256 + ⋯. In mathematics, the infinite series 1 4 + 1 16 + 1 64 + 1 256 + ⋯ is an example of one of the first infinite series to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC. [1] As it is a geometric series with first term 1 4 and common ...
(4) the result is 1 / 2 (3) the result is 1 (2) the result is infinite (30) no answer. The researcher, Giorgio Bagni, interviewed several of the students to determine their reasoning. Some 16 of them justified an answer of 0 using logic similar to that of Grandi and Riccati. Others justified 1 / 2 as being the average of 0 and 1 ...
Channa micropeltes. Channa micropeltes, giant snakehead, giant mudfish or toman harimau, is among the largest species in the family Channidae, capable of growing to 1.3 m (4.3 ft) in length and a weight of 20 kg (44 lb). [ 2] It is native to the fresh waters of Southeast Asia (South Indian populations are now regarded as a separate species, C ...
The toli shad or Chinese herring ( Tenualosa toli) is a fish of the family Clupeidae, a species of shad distributed in the western Indian Ocean and the Bay of Bengal to the Java Sea and the South China Sea. It may be found in Mauritius [2] and the Cambodian Mekong near the Vietnam border. [3] It inhabits fast-flowing, turbid estuaries and ...
Mahseer is the common name used for the genera Tor, Neolissochilus, Naziritor and Parator in the family Cyprinidae (carps). [1] [2] [3] The name is, however, more often restricted to members of the genus Tor. [4] The range of these fish is from Vietnam in the east and China in the north, through Laos, Cambodia, Thailand, Malaysia, Brunei and ...