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Zune 80/120 and Zune 4/8/16 menu system. The Zune 4, 8, and 16 have gotten generally positive reception. Positives and negatives mimic those of the Zune 80 and 120, as the 4, 8, and 16 are very similar devices in a smaller package: the Wi-Fi, user interface, and excellent sound quality are praised. [1]
The iPad Air 2 was announced during a keynote on October 16, 2014, and was the first iPad to feature Touch ID. The theme of the keynote was "it's been way too long". [8] The Air 2 began arriving in retail stores on October 22, 2014. The slogan for the device was Change Is in the Air.
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 :
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.
To illustrate: it can be seen that 16 is a superperfect number as σ(16) = 1 + 2 + 4 + 8 + 16 = 31, and σ(31) = 1 + 31 = 32, thus σ(σ(16)) = 32 = 2 × 16. If n is an even superperfect number, then n must be a power of 2 , 2 k , such that 2 k +1 − 1 is a Mersenne prime .
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