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Union Pacific UP classes Year Quantity Class Alco order number Alco serial numbers Union Pacific Number Notes 1926: 1: UP-1 B-1684 66544: Union Pacific 9000: Preserved 1926: 14: UP-2 B-1684 67024–67037: Union Pacific 9001–9014: 9004 to OWR&N 9708, then back to UP 9004 1928: 15: UP-3 B-1706 67581–67595: Union Pacific 9015–9029: 1928: 8 ...
The rum ration, or "tot", from 1866 to 1970 consisted of one-eighth of an imperial pint (71 ml) of rum at 95.5 proof (54.6% ABV), given out at midday. [1] Senior ratings (petty officers and above) received their rum neat, whilst for junior ratings it was diluted with two parts of water to make three-eighths of an imperial pint (213 ml) of grog. [2]
On 30 October 1877, a lieutenant of eight years'/ seniority got an additional half-ring of 3 ⁄ 16 in, increased to 1 ⁄ 4 in in 1891, and in 1914 became the new rank of lieutenant commander. In 1919, the admiral's narrow stripe was reduced to 1 ⁄ 2 in, but as King George V had not approved the change, the Royal Family continued to wear the ...
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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 ]
The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.
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.
The Lion-class ships were 2 knots (3.7 km/h; 2.3 mph) faster, exchanged the 12-inch (305 mm) guns of the older ships for 13.5-inch (343 mm) guns, and had a waterline belt 9 inches (229 mm) thick versus the 6 inches (152 mm) of the Indefatigables.