Idempotence (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Idempotence" in English language version.

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Polcino & Sehgal 2002, p. 127. Polcino Milies, César; Sehgal, Sudarshan K. (2002), An Introduction to Group Rings, Algebras and Applications, vol. 1, Kluwer Academic Publishers, pp. 127, ISBN 978-1-4020-0238-0, MR 1896125

archive.org

George Grätzer (2003). General Lattice Theory. Basel: Birkhäuser. Here: Sect.1.2, p.5.

books.google.com

Original manuscript of 1870 lecture before National Academy of Sciences (Washington, DC, USA): Peirce, Benjamin (1870) "Linear associative algebra" From pages 16-17: "When an expression which is raised to the square or any higher power vanishes, it may be called nilpotent; but when raised to a square or higher power it gives itself as the result, it may be called idempotent.
The defining equation of nilpotent and idempotent expressions are respectively Aⁿ = 0 and Aⁿ = A; but with reference to idempotent expressions, it will always be assumed that they are of the form Aⁿ = A unless it be otherwise distinctly stated."
- Printed: Peirce, Benjamin (1881). "Linear associative algebra". American Journal of Mathematics. 4 (1): 97–229.
- Polcino & Sehgal 2002, p. 127. Polcino Milies, César; Sehgal, Sudarshan K. (2002), An Introduction to Group Rings, Algebras and Applications, vol. 1, Kluwer Academic Publishers, pp. 127, ISBN 978-1-4020-0238-0, MR 1896125
- Valenza, Robert (2012). Linear Algebra: An Introduction to Abstract Mathematics. Berlin: Springer Science & Business Media. p. 22. ISBN 9781461209010. An element s of a magma such that ss = s is called idempotent.
- Doneddu, Alfred (1976). Polynômes et algèbre linéaire (in French). Paris: Vuibert. p. 180. Soit M un magma, noté multiplicativement. On nomme idempotent de M tout élément a de M tel que a² = a.

doi.org

"Idempotent Methods". Hypertext Transfer Protocol (HTTP/1.1): Semantics and Content. sec. 4.2.2. doi:10.17487/RFC7231. RFC 7231. It knows that repeating the request will have the same intended effect, even if the original request succeeded, though the response might differ.

hathitrust.org

babel.hathitrust.org

Original manuscript of 1870 lecture before National Academy of Sciences (Washington, DC, USA): Peirce, Benjamin (1870) "Linear associative algebra" From pages 16-17: "When an expression which is raised to the square or any higher power vanishes, it may be called nilpotent; but when raised to a square or higher power it gives itself as the result, it may be called idempotent.
The defining equation of nilpotent and idempotent expressions are respectively Aⁿ = 0 and Aⁿ = A; but with reference to idempotent expressions, it will always be assumed that they are of the form Aⁿ = A unless it be otherwise distinctly stated."
- Printed: Peirce, Benjamin (1881). "Linear associative algebra". American Journal of Mathematics. 4 (1): 97–229.

ietf.org

tools.ietf.org

IETF, Hypertext Transfer Protocol (HTTP/1.1): Semantics and Content Archived 2014-06-08 at the Wayback Machine. See also HyperText Transfer Protocol.

datatracker.ietf.org

"Idempotent Methods". Hypertext Transfer Protocol (HTTP/1.1): Semantics and Content. sec. 4.2.2. doi:10.17487/RFC7231. RFC 7231. It knows that repeating the request will have the same intended effect, even if the original request succeeded, though the response might differ.

merriam-webster.com

"idempotent". Merriam-Webster. Archived from the original on 2016-10-19.

nclabor.com

"Geared Traction Passenger Elevator Specification Guide Information/Instructions" (PDF). NC Department Of Labor, Elevator Bureau. 2002. Archived from the original (PDF) on 2011-05-23. For example, this design specification includes detailed algorithm for when elevator cars will respond to subsequent calls for service

oed.com

"idempotence". Oxford English Dictionary (3rd ed.). Oxford University Press. 2010.

psu.edu

citeseerx.ist.psu.edu

Marc A. de Kruijf. "Compiler construction of idempotent regions and applications in architecture design". 2012. p. 10.

stanford.edu

web.stanford.edu

John Ousterhout. "Demand Paging".

web.archive.org

"idempotent". Merriam-Webster. Archived from the original on 2016-10-19.
IETF, Hypertext Transfer Protocol (HTTP/1.1): Semantics and Content Archived 2014-06-08 at the Wayback Machine. See also HyperText Transfer Protocol.
"Geared Traction Passenger Elevator Specification Guide Information/Instructions" (PDF). NC Department Of Labor, Elevator Bureau. 2002. Archived from the original (PDF) on 2011-05-23. For example, this design specification includes detailed algorithm for when elevator cars will respond to subsequent calls for service