Cauchy–Schwarz inequality for sums
| rdfs:label |
"Cauchy–Schwarz inequality for sums"@en
|
|
skos:alt |
"Cauchy-Schwarz inequality for sums"@en |
|
schema:date |
"2025-02-16T21:31:00+00:00"^^xsd:dateTime |
| schema:version | 2312532066 |
| wikibase:identifiers | 4 |
| wikibase:sitelinks | 0 |
| wikibase:statements | 16 |
| p:P11497 | wd:statement/Q97485926-7caf91b2-4290-fd8c-d8fc-b7b8d30191bc |
| wd:statement/Q97485926-CFAD3C5F-E3FE-4F52-BC3E-BD076DF6C4B0 | |
| p:P138 | wd:statement/Q97485926-35385820-4f00-b055-68fe-0f65d2195fa5 |
| wd:statement/Q97485926-8c681edb-4357-3837-9510-6f1276576f99 | |
| p:P1889 | wd:statement/Q97485926-fca0f0c4-4228-d9fd-ac35-586d4cc3b328 |
| p:P2534 | wd:statement/Q97485926-d7dbba09-454e-e17a-db71-ffe6901cfed1 |
| p:P279 | wd:statement/Q97485926-2a452126-4a9b-19b5-5ccf-7905318ed22e |
| p:P2812 | wd:statement/Q97485926-1a9cf08f-41fe-ad2a-a2e5-bf7441db6660 |
| p:P31 | wd:statement/Q97485926-5d0385c6-46ba-1e0b-f453-cbb92357fff5 |
| wd:statement/Q97485926-f150c3d4-41e5-5242-4f45-be30a3309f66 | |
| p:P6104 | wd:statement/Q97485926-6C5FDE3E-0302-4147-8E1E-2642357F11F5 |
| p:P6781 | wd:statement/Q97485926-2fe3e467-48bc-64b8-a352-cfa0371cbb0f |
| p:P7235 | wd:statement/Q97485926-483ffdf0-4fcf-87e5-f5b2-0966f15b3cce |
| wd:statement/Q97485926-948a54e5-4deb-a207-72b6-b612544f3fa8 | |
| wd:statement/Q97485926-e6743ac5-44d4-d373-edd0-dd370fb466a9 | |
| wd:statement/Q97485926-ebc954c7-4134-2926-019a-275dbd11c4d8 | |
| wdt:P11497 | "1.2.E51" |
| "1.7.E1" | |
| wdt:P138 | Hermann Schwarz |
| Augustin-Louis Cauchy | |
| wdt:P1889 | Cauchy–Schwarz inequality |
| 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"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover></mstyle><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">≤</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover></mstyle><msubsup><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover></mstyle><msubsup><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | inequality |
| wdt:P2812 | "CauchysInequality" |
| wdt:P31 | inequality |
| theorem | |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6781 | "Cauchy's_Inequality" |
| 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>n</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"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></munderover></mstyle></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"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></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"><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
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