discrete Fourier transform

technique used in advanced mathematics
Thing general Q2878
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discrete Fourier transform

Summary

discrete Fourier transform ranks in the top 1% of general entities by monthly Wikipedia readership (1,022 views/month).[1]

Key Facts

  • Joseph Fourier is named after discrete Fourier transform[2].
  • discrete Fourier transform's subclass of is recorded as Fourier transform[3].
  • discrete Fourier transform's subclass of is recorded as discrete transform[4].
  • discrete Fourier transform's Commons category is recorded as Discrete Fourier transform[5].
  • discrete Fourier transform's Freebase ID is recorded as /m/02frp[6].
  • discrete Fourier transform's short name is recorded as {'lang': 'en', 'text': 'DFT'}[7].
  • discrete Fourier transform's short name is recorded as {'lang': 'ru', 'text': 'ДПФ'}[8].
  • discrete Fourier transform's short name is recorded as {'lang': 'fr', 'text': 'TFD'}[9].
  • discrete Fourier transform's short name is recorded as {'lang': 'uk', 'text': 'ДПФ'}[10].
  • discrete Fourier transform's short name is recorded as {'lang': 'sr-cyrl', 'text': 'ДФТ'}[11].
  • discrete Fourier transform's short name is recorded as {'lang': 'sr-latn', 'text': 'DFT'}[12].
  • discrete Fourier transform's short name is recorded as {'lang': 'de', 'text': 'DFT'}[13].
  • discrete Fourier transform's short name is recorded as {'lang': 'nl', 'text': 'DFT'}[14].
  • discrete Fourier transform's short name is recorded as {'lang': 'pt', 'text': 'TFD'}[15].
  • discrete Fourier transform's short name is recorded as {'lang': 'sv', 'text': 'DFT'}[16].
  • discrete Fourier transform's short name is recorded as {'lang': 'sl', 'text': 'DFT'}[17].
  • discrete Fourier transform's different from is recorded as discrete Fourier transform[18].
  • discrete Fourier transform's defining formula is recorded as X_k = \sum_{n=0}^{N-1} x_n e^{-\frac{2 \pi i}{N} k n} = \sum_{n=0}^{N-1} x_n\cdot [\cos(2 \pi k n / N) - i\cdot \sin(2 \pi k n / N)], \qquad (k = 0, \dots, N-1)[19].
  • discrete Fourier transform's Treccani ID is recorded as dft[20].
  • discrete Fourier transform's nLab ID is recorded as discrete Fourier transform[21].
  • discrete Fourier transform's maintained by WikiProject is recorded as WikiProject Mathematics[22].
  • discrete Fourier transform's Microsoft Academic ID is recorded as 21809047[23].
  • discrete Fourier transform's Brilliant Wiki ID is recorded as discrete-fourier-transform[24].
  • discrete Fourier transform's NicoNicoPedia ID is recorded as 離散フーリエ変換[25].
  • discrete Fourier transform's in defining formula is recorded as e[26].

Why It Matters

discrete Fourier transform ranks in the top 1% of general entities by monthly Wikipedia readership (1,022 views/month).[1] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[27]

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] . Freebase Data Dumps. 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.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . wikidata.org.
  25. [26] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . 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). discrete Fourier transform. Retrieved April 10, 2026, from https://4ort.xyz/entity/discrete-fourier-transform
MLA “discrete Fourier transform.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/discrete-fourier-transform.
BibTeX @misc{4ortxyz_discrete-fourier-transform_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{discrete Fourier transform}}, year = {2026}, url = {https://4ort.xyz/entity/discrete-fourier-transform}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): discrete Fourier transform — https://4ort.xyz/entity/discrete-fourier-transform (retrieved 2026-04-10)

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