How do numbers begin? (The first digit law)

European Journal of Physics

Volumn 28, Issue 3, 2007, Pages

  Torres, J ^a   Fernandez S ^b   Gamero, A ^a   Sola, A ^a  

^a UNIVERSITY OF CÓRDOBA   (Spain)

^b ADN Software   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DATABASE SYSTEMS; GRAPHIC METHODS;

DATA SETS; DIGIT LAW;

NUMBER THEORY;

EID: 34247881944     PISSN: 01430807     EISSN: 13616404     Source Type: Journal    
DOI: 10.1088/0143-0807/28/3/N04     Document Type: Article

References (20)

1. Burke J and Kincanon E 1991 Benford's law and physical constants: the distribution of initial digits Am. J. Phys. 59 952
2. Newcomb S 1881 Note on the frequency of use of the different digits in natural numbers Am. J. Math. 4 39-40
3. Newcomb S 1901 Is the airship coming? McClure's Mag. 17 September 1901 432-5
4. Newcomb S 1903 The outlook for the flying machine Indep.: Wkly Mag. 22 October 1903 2508-12
5. Benford F 1938 The law of anomalous numbers Proc. Am. Phil. Soc. 78 551-72
6. Buck B, Merchant T O C and Perez S M 1993 An illustration of Benford's first digit law using alpha decay half lives Eur. J. Phys. 14 59-63
7. Pinkham R S 1961 On the distribution of first significant digits Annu. Math. Mon. 76 342-38
8. Raimi R 1969 The peculiar distribution of first digits Sci. Am. 221 109-19
9. Hill T 1995 Base-invariance implies Benford's law Proc. Am. Math. Soc. 123 887-95
10. Hill T 1995 The significant-digit phenomenon Am. Math. Mon. 102 323-7
11. Hill T 1996 A statistical derivation of the significant digit law Stat. Sci. 10 354-63
12. Hill T, Berger A and Bunimovich L A 2005 One-dimensional dynamical systems and Benford's law Trans. Am. Math. Soc. 457 197-219
13. Hill T and Schürger K 2005 Regularity of digits and significant digits of random variables J. Stoch. Process. Appl. 115 1723-43
14. Hill T and Berger A 2007 Newton's method obeys Benford's law Am. Math. Mon. at press
15. Nigrini M J and Browne M W 1998 Following Benford's law, or looking out for no.1 The New York Times, Science 4 August
16. Nigrini M J 1992 The detection of income escape through an analysis of digital distributions PhD Thesis University of Cincinatti
17. Nigrini M J and Mittermaeier L J 1997 The use of Benford's law as an aid in analytical procedures auditing J. Pract. Theory 16 52-67
18. Nigrini M J 2000 Digital Analysis Using Benford's Law (Vancouver: Global Audit Publications)
19. Perea M and Ayllón J D 1999 The first significant digit Rev. Epsilón SAEM 'Thales' 45 15 (3) 339-51
20. Dorogovtsev S N, Mendes J F F and Oliveira JG 2006 Frequency of occurrence of numbers in the World Wide Web Physica A 360 548-56