American Journal of Mathematics 4(1), 39-40.
ISSN/ISBN: 0002-9327 DOI: Not available at this time.
Abstract: INTRODUCTION: That the ten digits do not occur with equal frequency must be evident to any one making much use of logarithmic tables, and noticing how much faster the first pages wear out than the last ones. The first significant figure is oftener 1 than any other digit, and the frequency diminishes up to 9. The question naturally arises whether the reverse would be true of logarithms. That is, in a table of anti-logarithms, would the last part be more used than the first, or would every part be used equally? The law of frequency in the one case may be deduced from. that in the other. The question we have to consider is, what is the probability that if a natural number be taken at random its first significant digit will be n, its second n', etc
Bibtex:
@article {MR1505286,
AUTHOR = {Newcomb, Simon},
TITLE = {Note on the {F}requency of {U}se of the {D}ifferent {D}igits
in {N}atural {N}umbers},
JOURNAL = {Amer. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {4},
YEAR = {1881},
NUMBER = {1-4},
PAGES = {39--40},
ISSN = {0002-9327},
CODEN = {AJMAAN},
MRCLASS = {Contributed Item},
MRNUMBER = {1505286},
DOI = {10.2307/2369148},
URL = {http://dx.doi.org/10.2307/2369148},
}
Reference Type: Journal Article
Subject Area(s): General Interest