| rdfs:label |
"Jacobi ellipsoid"@en
|
|
skos:alt |
"سطح ياكوبي الإهليلجي"@ar |
| "سطح ياكوبي الاهليلجي"@ar | |
| schema:description |
"oblate ellipsoid under equilibrium"@en
|
|
schema:date |
"2026-10-26T17:19:40+00:00"^^xsd:dateTime |
| schema:version | 2561125980 |
| wikibase:identifiers | 1 |
| wikibase:sitelinks | 7 |
| wikibase:statements | 13 |
| p:P138 | wd:statement/Q33728375-f76f8a98-4808-2a74-75db-10458b499b60 |
| p:P2534 | wd:statement/Q33728375-8E68C2F6-F356-45E3-BB38-B4ADDE312E61 |
| p:P2671 | wd:statement/Q33728375-022FF44B-A281-41FD-A010-EA38F67620ED |
| p:P279 | wd:statement/Q33728375-9869819b-4986-4c74-87b0-283fa93a6773 |
| p:P31 | wd:statement/Q33728375-1390be9b-4121-b9df-a666-8c79ef448fb9 |
| p:P5555 | wd:statement/Q33728375-94e757d5-43f4-1a16-631a-f1c9da74d806 |
| p:P7235 | wd:statement/Q33728375-11B94E47-BAE5-409F-834E-FB05E35CB298 |
| wd:statement/Q33728375-27B0ED9D-0704-46E5-8312-C87369BA880D | |
| wd:statement/Q33728375-4CCA6B7F-4872-4CA7-AD59-1FEB07684726 | |
| wd:statement/Q33728375-5CE9C937-9D75-4C06-88B6-E7A3548469F0 | |
| wd:statement/Q33728375-760E42E3-4565-4AE3-975B-888F124FD51E | |
| wd:statement/Q33728375-7E3B1A23-F0EC-41B7-8F7B-3A94F2386C5C | |
| wd:statement/Q33728375-9D92F988-3399-4FDA-A852-22285C3866B5 | |
|
p:direct- |
<http:/ |
| wdt:P138 | Carl Gustav Jacob Jacobi |
| 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"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd><mi mathvariant="normal">Δ</mi><mo stretchy="false">(</mo><mi>u</mi><mo>;</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo stretchy="false">)</mo></mtd><mtd><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>u</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><msup><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>u</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>u</mi><mo stretchy="false">)</mo></mrow></msqrt></mrow></mtd></mtr><mtr><mtd><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></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"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>u</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>u</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><msup><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>u</mi><mo stretchy="false">)</mo><mi mathvariant="normal">Δ</mi><mo stretchy="false">(</mo><mi>u</mi><mo>;</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mtd><mtd><mo stretchy="false">=</mo><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></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"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>u</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>u</mi><mo stretchy="false">)</mo><mi mathvariant="normal">Δ</mi><mo stretchy="false">(</mo><mi>u</mi><mo>;</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi mathvariant="normal">Ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>G</mi><mi>M</mi></mrow></mrow></mfrac></mrow></mtd><mtd><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></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"><mi>u</mi><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>u</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>u</mi><mo stretchy="false">)</mo><mo stretchy="false">(</mo><msup><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>u</mi><mo stretchy="false">)</mo><mi mathvariant="normal">Δ</mi><mo stretchy="false">(</mo><mi>u</mi><mo>;</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac></mrow></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2671 | "/g/11g8xjv6fq" |
| wdt:P279 | tri-axial ellipsoid |
| wdt:P31 | mathematical concept |
| wdt:P5555 |
<http:/ |
| 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 mathvariant="normal">Ω</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>G</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>M</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>a</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>b</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>c</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"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
Download as: