Leibniz formula for π
alternating series which converges to π/4
| rdfs:label |
"Leibniz formula for π"@en
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skos:alt |
"1 − 1/3 + 1/5 − 1/7 + ⋯"@en
"Leibniz formula"@en
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| schema:description |
"alternating series which converges to π/4"@en
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schema:date |
"2026-05-25T06:39:57+00:00"^^xsd:dateTime |
| schema:version | 2497118837 |
| wikibase:identifiers | 3 |
| wikibase:sitelinks | 23 |
| wikibase:statements | 8 |
| p:P138 | wd:statement/Q97226587-F68FB7CB-5F71-4117-8782-5D68CDD3FA5A |
| p:P2534 | wd:statement/Q97226587-401E84FF-43D6-4203-B935-C19B8DD09F47 |
| p:P2812 | wd:statement/Q97226587-01CFCE50-750D-4BAC-9BAA-2E521C7E3D5F |
| p:P31 | wd:statement/Q97226587-3A96726B-6669-465D-9FDA-8762E899FB08 |
| wd:statement/Q97226587-77CFDF79-EC1D-4EDE-8192-F7A3DC476D39 | |
| p:P6104 | wd:statement/Q97226587-AAFE141C-E44A-4930-BFAD-DEC40C7C4228 |
| p:P6366 | wd:statement/Q97226587-43A6C879-2C45-4D12-93FB-180A4ADB51FF |
| p:P646 | wd:statement/Q97226587-E48DF546-1B6C-4304-A6C5-65E5455E898C |
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p:direct- |
<https:/ |
| wdt:P138 | Gottfried Wilhelm Leibniz |
| 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"><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"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mo stretchy="false">−</mo><mn>1</mn><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>n</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>π</mi></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2812 | "GregorySeries" |
| wdt:P31 | alternating series |
| approximation algorithm | |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "10225806" |
| wdt:P646 | "/m/04r552" |
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