upper half-plane

complex numbers with positive imaginary part
Thing set Q3258885
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upper half-plane

Summary

upper half-plane is a set[1]. It draws 45 Wikipedia views per month (set category, ranking #9 of 16).[2]

Key Facts

  • upper half-plane's instance of is recorded as set[3].
  • upper half-plane's Freebase ID is recorded as /m/01q7vs[4].
  • upper half-plane's defining formula is recorded as \mathfrak h={x+\mathrm iy\mid x, y \in \R,\,y > 0}[5].
  • upper half-plane's MathWorld ID is recorded as UpperHalf-Plane[6].
  • upper half-plane's nLab ID is recorded as upper half-plane[7].
  • upper half-plane's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • upper half-plane's Microsoft Academic ID is recorded as 166454054[9].
  • upper half-plane's OpenAlex ID is recorded as C166454054[10].
  • upper half-plane's LMFDB knowl ID is recorded as mf.upper_half_plane[11].

Why It Matters

upper half-plane draws 45 Wikipedia views per month (set category, ranking #9 of 16).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[12]

📑 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). upper half-plane. Retrieved May 3, 2026, from https://4ort.xyz/entity/upper-half-plane
MLA “upper half-plane.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/upper-half-plane.
BibTeX @misc{4ortxyz_upper-half-plane_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{upper half-plane}}, year = {2026}, url = {https://4ort.xyz/entity/upper-half-plane}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): upper half-plane — https://4ort.xyz/entity/upper-half-plane (retrieved 2026-05-03)

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