real sign function

function which assigns a number (-1,0,1) to a real number according to its sign
Thing integer_valued_function Q105356166
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real sign function

Summary

real sign function is an integer-valued function[1].

Key Facts

  • real sign function's image is recorded as Signum function.png[2].
  • real sign function's instance of is recorded as integer-valued function[3].
  • real sign function's instance of is recorded as sign function[4].
  • real sign function's instance of is recorded as function of a real variable[5].
  • real sign function's instance of is recorded as step function[6].
  • real sign function's instance of is recorded as odd function[7].
  • real sign function's facet of is recorded as trichotomy law[8].
  • real sign function's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[9].
  • real sign function's definition domain is recorded as set of real numbers[10].
  • real sign function's different from is recorded as complex sign function[11].
  • real sign function's different from is recorded as sine[12].
  • real sign function's different from is recorded as parity of a permutation[13].
  • real sign function's different from is recorded as Heaviside step function[14].
  • real sign function's image of function is recorded as set of 0 and ±1[15].
  • real sign function's defining formula is recorded as \sgn a = \begin{cases} 1 & a > 0 \ 0 & a = 0 \ -1 & a < 0 \end{cases}[16].
  • real sign function's defining formula is recorded as \sgn a = [a > 0] - [a < 0][17].
  • real sign function's MathWorld ID is recorded as Sign[18].
  • real sign function's nLab ID is recorded as sign function[19].
  • real sign function's maintained by WikiProject is recorded as WikiProject Mathematics[20].
  • real sign function's in defining formula is recorded as a[21].
  • real sign function's in defining formula is recorded as {[22].
  • real sign function's in defining formula is recorded as \sgn a[23].
  • real sign function's in defining formula is recorded as [\cdot][24].
  • real sign function's IEV number is recorded as 103-03-04[25].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). real sign function. Retrieved May 3, 2026, from https://4ort.xyz/entity/real-sign-function
MLA “real sign function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/real-sign-function.
BibTeX @misc{4ortxyz_real-sign-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{real sign function}}, year = {2026}, url = {https://4ort.xyz/entity/real-sign-function}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): real sign function — https://4ort.xyz/entity/real-sign-function (retrieved 2026-05-03)

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