Search results
Results From The WOW.Com Content Network
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.
where f (2k−1) is the (2k − 1)th derivative of f and B 2k is the (2k)th Bernoulli number: B 2 = 1 / 6 , B 4 = − + 1 / 30 , and so on. Setting f ( x ) = x , the first derivative of f is 1, and every other term vanishes, so [ 15 ]
Today, a more standard phrasing of Archimedes' proposition is that the partial sums of the series 1 + 1 / 4 + 1 / 16 + ⋯ are: + + + + = +. This form can be proved by multiplying both sides by 1 − 1 / 4 and observing that all but the first and the last of the terms on the left-hand side of the equation cancel in pairs.
Demonstration of 2 / 3 via a zero-value game. A slight rearrangement of the series reads + + =. The series has the form of a positive integer plus a series containing every negative power of two with either a positive or negative sign, so it can be translated into the infinite blue-red Hackenbush string that represents the surreal number 1 / 3 :
4-4-1 toured extensively off the success of their two hit records, playing energetic sets at the Icthus and Cornerstone festivals in 1986. Blue Collar Records declared bankruptcy in 1987 based on non-payment of record sales from its distributor, leaving the band (as well as Undercover and Adam Again) looking for a home.
Soal moved to a more statistical and controlled approach, firstly by conducting an experiment in which up to a few hundred persons participated at one time. [5] This involved Soal and a small group of agents enacting a scenario, playing with a certain object, reciting a poem, and so on, which the participants, situated across Great Britain and other countries, were required, at the same time ...
4: John Paul George Ringo, a 2014 compilation EP featuring songs by John Lennon, Paul McCartney, George Harrison and Ringo Starr; 4, a 1984 album by Lipps Inc. 4, a 2010 album by The Bamboos; 4, a 2014 album by The Red Jumpsuit Apparatus, 2014; 4, an EP by Hunter, 2004 #4, an EP by Suburban Kids with Biblical Names, 2009
Single Mk IX gun on HMCS Assiniboine with gunners sheltering behind the shield. The 4.7 inch QF Mark IX and Mark XII were 45-calibre, 4.7-inch (120 mm) naval guns which armed the majority of Royal Navy and Commonwealth destroyers in World War II, [1] and were exported to many countries after World War II as the destroyers they were mounted on were sold off.