discrete Fourier transform
technique used in advanced mathematics
| rdfs:label |
"discrete Fourier transform"@en
|
|
skos:alt |
"Διακριτή κατανομή Φουριέρ"@el
|
| schema:description |
"technique used in advanced mathematics"@en
|
|
schema:date |
"2026-10-20T09:38:22+00:00"^^xsd:dateTime |
| schema:version | 2559163552 |
| wikibase:identifiers | 8 |
| wikibase:sitelinks | 29 |
| wikibase:statements | 28 |
| p:P10017 | wd:statement/Q2878-0d54eb7c-4b2d-b796-897d-ece7774a4dbd |
| p:P13397 | wd:statement/Q2878-0E8681D4-5E1E-4FD5-8515-DA1DE22F35D5 |
| p:P138 | wd:statement/q2878-430F2B54-4F88-4AA5-B245-553FA559205D |
| p:P1813 | wd:statement/Q2878-22e7e030-4ffa-1923-0867-6b7afe69ae58 |
| wd:statement/Q2878-33ea004e-4bb0-30c6-0e36-ffee794861de | |
| wd:statement/Q2878-8f161991-40de-9e50-cdcf-33f6d149ab1d | |
| wd:statement/Q2878-92560627-406b-2b92-ce53-d1b9d5ad4e83 | |
| wd:statement/Q2878-9c272144-473d-4a82-f136-9cc5750d4c8c | |
| wd:statement/Q2878-9feea628-499c-40f3-19bc-45003158bd01 | |
| wd:statement/Q2878-c777475c-4990-8f7b-6e9e-48ee1bbb60aa | |
| wd:statement/Q2878-cae874a7-42c0-112f-90e0-87ed42ad117f | |
| wd:statement/Q2878-dc3af3a3-4e70-4049-f5fc-b60bfedeb9c6 | |
| wd:statement/Q2878-eda8e94f-4db9-2028-5e27-9c96b8f90616 | |
| wd:statement/Q2878-f7fc9cc1-48e9-b8be-7208-e47e35b39e1c | |
| p:P1889 | wd:statement/Q2878-E39C10BF-F071-4056-A5B2-81436F96C248 |
| p:P2534 | wd:statement/Q2878-426084d1-42ae-1334-a9e4-3f843e3d77eb |
| p:P279 | wd:statement/Q2878-f1a129d3-4ba3-1095-f34a-4034e3693cac |
| wd:statement/q2878-87506B8B-2A1D-4F9B-99BE-BD730F1D623C | |
| p:P3365 | wd:statement/Q2878-f888b73b-4bd4-bc8e-f8d7-196520d401ef |
| p:P373 | wd:statement/Q2878-c6255e80-49c4-4b50-9845-d60fed226258 |
| p:P4215 | wd:statement/Q2878-0546676D-96D7-4B98-A7B1-DD1279AA49DC |
| p:P6104 | wd:statement/Q2878-FD6E156E-9C52-44EB-BA90-D10B8B71A93F |
| p:P6366 | wd:statement/Q2878-2E54522A-EA46-4E58-A562-6694AFD8F5E0 |
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| wd:statement/Q2878-9ae2d1b1-4010-7821-455d-0afb63245e89 | |
|
p:direct- |
<https:/ |
| wdt:P10017 | "dft" |
| wdt:P13397 | "discrete+Fourier+transform" |
| wdt:P138 | wd:Q8772 |
| wdt:P1813 |
"DFT"@en
|
| wdt:P1889 | wd:Q1006032 |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>X</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>N</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></munderover></mstyle><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi><mi>i</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><mi>k</mi><mi>n</mi></mrow></mrow></msup><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>N</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></munderover></mstyle><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">⋅</mo><mo stretchy="false">[</mo><mi>cos</mi><mo>⁡</mo><mo stretchy="false">(</mo><mn>2</mn><mi>π</mi><mi>k</mi><mi>n</mi><mo lspace="0" rspace="0">/</mo><mi>N</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>i</mi><mo stretchy="false">⋅</mo><mi>sin</mi><mo>⁡</mo><mo stretchy="false">(</mo><mn>2</mn><mi>π</mi><mi>k</mi><mi>n</mi><mo lspace="0" rspace="0">/</mo><mi>N</mi><mo stretchy="false">)</mo><mo stretchy="false">]</mo><mo>,</mo><mspace width="2em"></mspace><mo stretchy="false">(</mo><mi>k</mi><mo stretchy="false">=</mo><mn>0</mn><mo>,</mo><mo>…</mo><mo>,</mo><mi>N</mi><mo stretchy="false">−</mo><mn>1</mn><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | wd:Q5282065 |
| wd:Q6520159 | |
| wdt:P3365 | "dft" |
| wdt:P373 | "Discrete Fourier transform" |
| wdt:P4215 | "discrete Fourier transform" |
| wdt:P6104 | wd:Q8487137 |
| wdt:P6366 | "21809047" |
| wdt:P646 | "/m/02frp" |
| wdt:P6564 | "discrete-fourier-transform" |
| wdt:P6900 | "離散フーリエ変換" |
| wdt:P7235 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>cos</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>e</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
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