| 41. | Comparing the hyperbolic identities to the circular ones, one notices that they involve the same functions of, just permuted.
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| 42. | The last layer is solved by first orienting and then permuting the last layer cubies using a large number of algorithms.
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| 43. | As an example, we'll permute the numbers from 1 to 8 using Fisher and Yates'original method.
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| 44. | The last layer steps OLL and PLL involve first orienting the last layer pieces, then permuting them into their correct positions.
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| 45. | One need not suppose the objects permuted to be numbers, but one needs a total ordering of the set of objects.
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| 46. | The symmetry group of the diagram is the symmetric group " S " 3 which acts by permuting the three legs.
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| 47. | The algorithm runs through a loop where it permutes each byte in the auxiliary block 18 times for every 16 input bytes processed.
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| 48. | The layout of notes on the fretboard in standard tuning often forces guitarists to permute the tonal order of notes in a chord.
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| 49. | This may be arranged by permuting x, y and z so that the value of y is between that of x and z.
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| 50. | In base 2, only repunits can be permutable primes, because any 0 permuted to the ones place results in an even number.
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