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The reverse divisor properties of the first two of these numbers, 1089 and 2178, were mentioned by W. W. Rouse Ball in his Mathematical Recreations. [7] In A Mathematician's Apology , G. H. Hardy criticized Rouse Ball for including this problem, writing:
0 8 4 12 2 10 6 14 1 9 5 13 3 11 7 15 Each permutation in this sequence can be generated by concatenating two sequences of numbers: the previous permutation, with its values doubled, and the same sequence with each value increased by one.
The inversions of this permutation using element-based notation are: (3, 1), (3, 2), (5, 1), (5, 2), and (5,4). In computer science and discrete mathematics , an inversion in a sequence is a pair of elements that are out of their natural order .
The Inverse Symbolic Calculator is an online number checker established July 18, 1995 by Peter Benjamin Borwein, Jonathan Michael Borwein and Simon Plouffe of the Canadian Centre for Experimental and Constructive Mathematics (Burnaby, Canada).
Number support is incomplete; four numbers are universally strobogrammatic (0, 8, and 6/9), and the upside-down versions of numbers 2 and 3 have been provisionally assigned Unicode points for use in dozenal notation; however, other numbers still are not supported.
In addition, there is a physical to logical track mapping to effect a 2:1 sector interleaving. The disks were formatted with the physical sectors in order numbered 1 to 10 on each track after the reserved tracks, but the logical sectors from 1 to 10 were stored in physical sectors 1, 6, 2, 7, 3, 8, 4, 9, 5, 10. [ 34 ]
The following phrases come from a portable media player's seven-segment display. They give a good illustration of an application where a seven-segment display may be sufficient for displaying letters, since the relevant messages are neither critical nor in any significant risk of being misunderstood, much due to the limited number and rigid domain specificity of the messages.
It is also used in computer monitors, where the term "21:9" can represent aspect ratios of 43:18 (2.3 8:1 or 21.5:9) and 12:5 (2.4:1 or 21.6:9) in addition to 64:27. The wider screen provides advantages in multitasking as well as a more immersive gaming experience, [ 3 ] [ 4 ] and even wider screens with aspect ratios such as 32:9 (allowing for ...
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