convolution

binary mathematical operation on functions, defined as the integral of the product of two functions after one is reflected about the y-axis and shifted, evaluated for all values of shift, producing the convolution function
Thing binary_operation Q210857
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convolution

Summary

convolution is a binary operation[1]. convolution has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • convolution's instance of is recorded as binary operation[3].
  • convolution's instance of is recorded as integral transform[4].
  • convolution is a type of mathematical operation[5].
  • convolution is part of functional analysis[6].
  • convolution is part of harmonic analysis[7].
  • convolution's Commons category is recorded as Convolution[8].
  • convolution is the opposite of deconvolution[9].
  • convolution's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[10].
  • convolution's Stack Exchange tag is recorded as https://stackoverflow.com/tags/convolution[11].
  • convolution's different from is recorded as convolution[12].
  • convolution's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • convolution's class of object is recorded as function[14].

Body

Definition and Type

Recorded instance of include binary operation[3] and integral transform[4]. convolution is a type of mathematical operation[5]. convolution is the opposite of deconvolution[9].

Use and Application

Part of include functional analysis[6], a branch of mathematics[15] and harmonic analysis[7], a branch of mathematics[16].

Influence

Things named for convolution include convolutional neural network[17], a field of study[18].

Why It Matters

convolution has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[2] convolution is known by 30 alternative names across languages and contexts.[19]

Entities named for convolution include convolutional neural network[17], a field of study[18].

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [17] . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [15] . Wikidata. wikidata.org. → on this site
  2. [16] . Wikidata. wikidata.org. → on this site
  3. [18] . Wikidata. wikidata.org. → on this site

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikidata sitelinks. wikidata.org.
  2. [19] . 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). convolution. Retrieved May 3, 2026, from https://4ort.xyz/entity/convolution
MLA “convolution.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/convolution.
BibTeX @misc{4ortxyz_convolution_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{convolution}}, year = {2026}, url = {https://4ort.xyz/entity/convolution}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): convolution — https://4ort.xyz/entity/convolution (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 5w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    Part of functional analysis, harmonic analysis
    Maintained by wikiproject WikiProject Mathematics
    Different from convolution
    Subclass of
    + 9 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
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