well-posed problem

functional relationship F between some input x and output y such that y=g(x) and g is Lipschitz in a neighbourhood of every x
Thing function Q1455898
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well-posed problem

Summary

well-posed problem is a function[1]. It draws 128 Wikipedia views per month (function category, ranking #32 of 114).[2]

Key Facts

  • well-posed problem's instance of is recorded as function[3].
  • well-posed problem's GND ID is recorded as 4194555-4[4].
  • well-posed problem's subclass of is recorded as mathematical problem[5].
  • well-posed problem's opposite of is recorded as ill-posed problem[6].
  • well-posed problem's Freebase ID is recorded as /m/017zgb[7].
  • well-posed problem's defining formula is recorded as \begin{aligned} F(x,y) = 0, \text{ with } y = g(x) \text{ and } \ \exist \delta_x >0, \exist K_{\delta,x} > 0: \forall \overline{x} : \lVert \overline{x}-x \rVert < \delta_x \ \Rightarrow \lVert g(\overline{x}) - g(x) \rVert < K_{\delta,x} \lVert \overline{x} - x \rVert \end{aligned}[8].
  • well-posed problem's studied by is recorded as numerical analysis[9].
  • well-posed problem's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • well-posed problem's Microsoft Academic ID is recorded as 106214006[11].
  • well-posed problem's OpenAlex ID is recorded as C106214006[12].

Why It Matters

well-posed problem draws 128 Wikipedia views per month (function category, ranking #32 of 114).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[13] It is known by 7 alternative names across languages and contexts.[14]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . Integrated Authority File. wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . Numerical Mathematics. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . 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. [13] . Wikidata sitelinks. wikidata.org.
  3. [14] . 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). well-posed problem. Retrieved May 3, 2026, from https://4ort.xyz/entity/well-posed-problem
MLA “well-posed problem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/well-posed-problem.
BibTeX @misc{4ortxyz_well-posed-problem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{well-posed problem}}, year = {2026}, url = {https://4ort.xyz/entity/well-posed-problem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): well-posed problem — https://4ort.xyz/entity/well-posed-problem (retrieved 2026-05-03)

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