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6 1 2 1 1 −1 4 5 9. and would be written in modern notation as 6 1 / 4 , 1 1 / 5 , and 2 − 1 / 9 (i.e., 1 8 / 9 ). The horizontal fraction bar is first attested in the work of Al-Hassār (fl. 1200), [35] a Muslim mathematician from Fez, Morocco, who specialized in Islamic inheritance jurisprudence.
The Bavarian Class G 4/5 N was an early twentieth century German 2-8-0 steam locomotive built for the Royal Bavarian State Railways (K.Bay.Sts.B.). Its design was based on that of the Class E I and it had unmistakable similarities to the final series of that class.
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, this may be expressed as
The Bavarian Class Gt 2×4/4 (bayerische Gt 2x4/4) engine of the Royal Bavarian State Railways (Königlich Bayerische Staats-Eisenbahnen or K.Bay.Sts.B.), was a heavy goods train tank locomotive of the Mallet type.
Archimedes' figure with a = 3 / 4 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]
For example, when d=4, the hash table for two occurrences of d would contain the key-value pair 8 and 4+4, and the one for three occurrences, the key-value pair 2 and (4+4)/4 (strings shown in bold). The task is then reduced to recursively computing these hash tables for increasing n , starting from n=1 and continuing up to e.g. n=4.
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 :
The Be 4/6 utilized the maximum axle load of 20 t (20 long tons; 22 short tons) fully. The motors for the Ae 4/8 were heavier than those of the Be 4/6, therefore the Ae 4/8 was planned with two more idle axles from the beginning. In contrast to the Be 4/6 bogie locomotive the Ae 4/8 was built as a frame locomotive with a double articulated body ...