Before computers and calculators became universally available, mathematical tables such as logarithm tables were widely used for calculations.
In an article that was published in 1951 in the Annales de la Faculté des Sciences de Toulouse, Roger Huron studies the distribution of digits in the decimal form of numbers in logarithm tables. Among other things, he demonstrates the curious fact that high digits (9,8,7,...) appear more often than low digits (0,1,2...) and quantifies this phenomenon precisely. He also studies the tables of numerical values of other functions, such as roots, for which this phenomenon does not occur. In addition to giving many examples and numerical illustrations, this article can also be used to illustrate the Euler-Maclaurin formula, which is the main mathematical tool.
The Annales de la Faculté des Sciences de Toulouse was founded in 1887 by Andoyer, Baillaud, Berson, Chauvin, Cosserat, Destrem, Fabre, Legoux, Sabatier and Stieltjes. This multidisciplinary journal has been exclusively dedicated to mathematics since 1979. It publish high level articles and surveys, written in French or in English, in all areas of mathematics. There is no size restriction.
The Annales de la Faculté des Sciences de Toulouse has been a Diamond open access journal since 2017. It is published with the support of CNRS, Université Paul Sabatier and the Institut de Mathématiques de Toulouse.
This journal, previously hosted by Cedram, is now web-published by the Centre Mersenne. In 2019, Cedram has become the Centre Mersenne for open scientific publishing, a publishing platform for scientific journals developed by Mathdoc.