condition number

function K of the input x of a well-posed problem which describes how much its variation influences the variation of the output g(x)
Thing function Q1147936
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condition number

Summary

condition number is a function[1]. It draws 367 Wikipedia views per month (function category, ranking #18 of 114).[2]

Key Facts

  • condition number's instance of is recorded as function[3].
  • condition number's Freebase ID is recorded as /m/01_rm[4].
  • condition number's facet of is recorded as well-posed problem[5].
  • condition number's facet of is recorded as mathematics[6].
  • condition number's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/condition-number[7].
  • condition number's codomain is recorded as set of complex numbers[8].
  • condition number's codomain is recorded as set of real numbers[9].
  • condition number's defining formula is recorded as K(x) = \sup_{x \in D(g)} \left { \frac{\lVert g(\overline{x})-g(x) \rVert }{\lVert \overline{x}-x \rVert} \frac{\lVert x \rVert}{\lVert g(x) \rVert}\right }[10].
  • condition number's defining formula is recorded as K(x) \approx \lVert g'(x) \rVert \frac{\lVert x \rVert}{\lVert g(x) \rVert} \text{ if } g \text{ is differentiable.}[11].
  • condition number's studied by is recorded as numerical analysis[12].
  • condition number's MathWorld ID is recorded as ConditionNumber[13].
  • condition number's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • condition number's Microsoft Academic ID is recorded as 84545080[15].
  • condition number's in defining formula is recorded as D(g)[16].
  • condition number's in defining formula is recorded as K(x)[17].
  • condition number's Lex ID is recorded as konditionstal[18].
  • condition number's OpenAlex ID is recorded as C84545080[19].

Why It Matters

condition number draws 367 Wikipedia views per month (function category, ranking #18 of 114).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[20] It is known by 23 alternative names across languages and contexts.[21]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . Freebase Data Dumps. wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . Numerical Mathematics. wikidata.org.
  7. [9] . Numerical Mathematics. wikidata.org.
  8. [10] . Numerical Mathematics. wikidata.org.
  9. [11] . Numerical Mathematics. wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . Wikidata aliases. 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). condition number. Retrieved May 3, 2026, from https://4ort.xyz/entity/condition-number
MLA “condition number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/condition-number.
BibTeX @misc{4ortxyz_condition-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{condition number}}, year = {2026}, url = {https://4ort.xyz/entity/condition-number}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): condition number — https://4ort.xyz/entity/condition-number (retrieved 2026-05-03)

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