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Since P 1 (x) < 0 for x = 1 / 2 , and P 1 (x) > 0 for all x > 1, the root of P 1 lies between 1 / 2 and 1, and the first term in its greedy expansion (the second term in the greedy expansion for the golden ratio) is 1 / 2 . If x 2 is the remaining fraction after this step of the greedy expansion, it satisfies the equation ...
The Romanian word moș means an elder male person. [2] The term ger means "frost" in Romanian. Moș Gerilă's name is a translation of the Russian Ded Moroz and was adopted by the Romanian communists, under influence of the Soviet model, as a new name for Moș Crăciun (Santa Claus).
Level 2&3: The stones are thrown on the playing surface again, and like level 1, other players choose the first stone to throw for the player. Other steps are the same. Level 4: The player covers their hand over the 5 stones and shakes it on the ground. When another player shouts, "stop!", the player stops shaking.
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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.
Name First elements Short description OEIS Kolakoski sequence: 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, ... The n th term describes the length of the n th run : A000002: Euler's ...
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 ]