Abrundungsfunktion und Aufrundungsfunktion (German Wikipedia)

Analysis of information sources in references of the Wikipedia article "Abrundungsfunktion und Aufrundungsfunktion" in German language version.

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google.de

Max Koecher: Klassische elementare Analysis. Springer, 2013, ISBN 978-3-0348-5167-1, S. 115
Konrad Königsberger: Analysis 1. Springer, 3. Auflage, 2013, ISBN 978-3-642-97622-3, S. 28
Jürgen Groß: Grundlegende Statistik mit R: Eine anwendungsorientierte Einführung in die Verwendung der Statistik Software R. Springer, 2010, ISBN 978-3-8348-1039-7, S. 33-34

LaTeX News, Issue 28. (PDF; 379 KB) The LaTeX Project, April 2018, abgerufen am 27. Juli 2024 (englisch).

Earliest Uses of Function Symbols: Until recently [x] has been the standard symbol for the greatest integer function. According to Grinstein (1970), "The use of the bracket notation, which has led some authors to term this the bracket function, stems back to the work of Gauss (1808) in number theory. The function is also referred to by Legendre who used the now obsolete notation E(x)." The Gauss reference is to Theorematis arithmetici demonstratio nova. Werke Volume: Bd. 2 p. 5. (aufgerufen am 25. Juli 2009).
Earliest Known Uses of Some of the Words of Mathematics (C): The terms Ceiling Function and appear in Kenneth E. Iverson’s A Programming Language (1962, p. 12): “Two functions are defined: 1. the floor of x (or integral part of x) denoted by $\lfloor x\rfloor$ and defined as the largest integer not exceeding x, 2. the ceiling of x denoted by $\lceil x\rceil$ and defined as the smallest integer not exceeded by x.” This was the first appearance of the terms and symbols, according to R. L. Graham, D. E. Knuth & O. Patashnik Concrete Mathematics: A Foundation for Computer Science (1989, p. 67). (aufgerufen am 25. Juli 2009).