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smoothstep

interpolation function
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smoothstep

Summary

smoothstep ranks in the top 2% of general entities by monthly Wikipedia readership (279 views/month).[1]

Key Facts

  • smoothstep's subclass of is recorded as scalar function of scalar variable[2].
  • smoothstep's has use is recorded as mathematical interpolation[3].
  • smoothstep's Freebase ID is recorded as /m/063yy73[4].
  • smoothstep's defining formula is recorded as \operatorname{smoothstep}(x) = 3x^2 - 2x^3[5].
  • smoothstep's defining formula is recorded as S_N(x)= \sum_{n=0}^{N} \binom{-N-1}{n} \binom{2N+1}{N-n} x^{N+n+1}[6].
  • smoothstep's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • smoothstep's Microsoft Academic ID is recorded as 72991990[8].

Why It Matters

smoothstep ranks in the top 2% of general entities by monthly Wikipedia readership (279 views/month).[1] smoothstep has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[9]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . Wikidata sitelinks. 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). smoothstep. Retrieved April 10, 2026, from https://4ort.xyz/entity/smoothstep
MLA “smoothstep.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/smoothstep.
BibTeX @misc{4ortxyz_smoothstep_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{smoothstep}}, year = {2026}, url = {https://4ort.xyz/entity/smoothstep}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): smoothstep — https://4ort.xyz/entity/smoothstep (retrieved 2026-04-10)

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