Least
Significant Digits
Copyright ©2003 |

Decimal numbers... hmm, it seems we are stuck with them. For the reason why, "look no further than just beyond your own wrists." |

eing
least
significant does not mean a digit has
no significance.
Ironically, being
most significant can mean exactly that for some
digits -- utter insignificance. Remember the Y2K
bug? A misguided form of sophistication spent a whole century throwing away most significant digits in dates, treating ciphers that represented In and of itself,
a most significant
digit lacks the authority to assert whether a number
is whole or rational,
real or imaginary. Oddly enough, a most
significant digit prancing
around over there on the left cannot even tell you
if the number is odd or even. Only Least Significant Digits
can
do that. A mindless machine programmed to make
a fifty-fifty split
of an integer won't be able to ascertain A most
significant digit has no
significance in determining whether an integer is
prime either. On
the other hand, Least
Significant Digits,
when they're In
Benford's
Law sophisticated solvers discovered that most
significant digits,
as they appear in natural settings, suffer
from maldistribution of
their decimal ciphers -- that frequencies range from
h sure, if all you care about is
the
he expression S(n) = n(n + 1)/2 reveals that the sum
of consecutive
integers is determined by a product, n(n +1),
which is always
even, making all consequent values of S(n)
fully capable of selecting their Least Significant
Digits from all
10 decimal ciphers.
Let L{x}
symbolize the least significant
digit of a positive integer x, such that, in Decimal
Land, L{x} = 0, 1,
2,... 9. The following table systematically
summarizes the calculation
of all possible
Least Significant Digits
for S(n):
L{L{n} + L{n + 1}} = L{2n + 1}, Almost forgot to mention: Quietly missing from the table above are ciphers . Which reminds me of the sound of a dog not barking. |

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