seminorm

nonnegative-real-valued function on a real or complex vector space that satisfies the triangle inequality and is absolutely homogenous
Thing general Q1416088
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seminorm

Summary

seminorm ranks in the top 2% of general entities by monthly Wikipedia readership (74 views/month).[1]

Key Facts

  • seminorm's subclass of is recorded as sublinear function[2].
  • seminorm's part of is recorded as seminormed space[3].
  • seminorm's Gran Enciclopèdia Catalana ID is recorded as 0141706[4].
  • seminorm's defining formula is recorded as \begin{aligned}&|-|\colon V\to\mathbb R\&\forall u,v\in V\colon |u+v|\le|u|+|v|\&\forall v\in V\forall\lambda\in\mathbb K\colon|\lambda v|=|\lambda||v|\end{aligned}[5].
  • seminorm's Google Knowledge Graph ID is recorded as /g/120j387s[6].
  • seminorm's MathWorld ID is recorded as Seminorm[7].
  • seminorm's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • seminorm's in defining formula is recorded as |-|[9].
  • seminorm's in defining formula is recorded as |-|[10].
  • seminorm's in defining formula is recorded as \forall[11].
  • seminorm's in defining formula is recorded as \mathbb R[12].
  • seminorm's Gran Enciclopèdia Catalana ID is recorded as seminorma[13].

Why It Matters

seminorm ranks in the top 2% of general entities by monthly Wikipedia readership (74 views/month).[1] seminorm has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[14] seminorm is known by 7 alternative names across languages and contexts.[15]

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.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.
  3. [15] . 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). seminorm. Retrieved April 10, 2026, from https://4ort.xyz/entity/seminorm
MLA “seminorm.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/seminorm.
BibTeX @misc{4ortxyz_seminorm_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{seminorm}}, year = {2026}, url = {https://4ort.xyz/entity/seminorm}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): seminorm — https://4ort.xyz/entity/seminorm (retrieved 2026-04-10)

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