About Equation AI.2.1.2.3 |
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![\begin{equation*}
\begin{split}
u (0)& =\frac{\sqrt[3]{3}}{3 \Gamma \Bigl(\frac{2}{3}\Bigr)}
\end{split}
\end{equation*}](NDIBAIIBSBGBIBasymptIBSBGB0SBGB_LBL_GENFORM_ICPD_1.gif)
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![\begin{equation*}
\begin{split}
u (1)& =\frac{-\sqrt[6]{3} \Gamma \Bigl(\frac{2}{3}\Bigr)}{2 \pi}
\end{split}
\end{equation*}](NDIBAIIBSBGBIBasymptIBSBGB0SBGB_LBL_GENFORM_ICPD_2.gif)
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LaTeX encoding |
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u (0) = \frac{\sqrt[3]{3}}{3 \Gamma \Bigl(\frac{2}{3}\Bigr)}
u (1) = \frac{-\sqrt[6]{3} \Gamma \Bigl(\frac{2}{3}\Bigr)}{2 \pi}
u (2) = 0
Maple encoding |
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u(0) = 1/3*3^(1/3)/GAMMA(2/3)
u(1) = -1/2*3^(1/6)/Pi*GAMMA(2/3)
u(2) = 0
MathML encoding |
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<math xmlns='http://www.w3.org/1998/Math/MathML'><semantics><mrow xref='id13'><mrow xref='id3'><mi xref='id1'>u</mi><mo>⁡</mo><mfenced><mn xref='id2'>0</mn></mfenced></mrow><mo>=</mo><mrow xref='id12'><mfrac xref='id4'><mn>1</mn><mn>3</mn></mfrac><mo>⁢</mo><mrow xref='id11'><mfrac><mrow xref='id7'><mroot><mn xref='id6'>3</mn><mn xref='id5'>3</mn></mroot></mrow><mrow xref='id10'><mi>Γ</mi><mo>⁡</mo><mfenced><mfrac xref='id9'><mn>2</mn><mn>3</mn></mfrac></mfenced></mrow></mfrac></mrow></mrow></mrow><annotation-xml encoding='MathML-Content'><apply id='id13'><eq/><apply id='id3'><ci id='id1'>u</ci><cn id='id2' type='integer'>0</cn></apply><apply id='id12'><times/><cn id='id4' type='rational'>1<sep/>3</cn><apply id='id11'><divide/><apply id='id7'><root/><degree><cn id='id5' type='integer'>3</cn></degree><cn id='id6' type='integer'>3</cn></apply><apply id='id10'><csymbol id='id8' definitionURL='http://www.maplesoft.com/MathML/GAMMA'>GAMMA</csymbol><cn id='id9' type='rational'>2<sep/>3</cn></apply></apply></apply></apply></annotation-xml><annotation encoding='Maple'>u(0) = 1/3*3^(1/3)/GAMMA(2/3)</annotation></semantics></math>
<math xmlns='http://www.w3.org/1998/Math/MathML'><semantics><mrow xref='id16'><mrow xref='id3'><mi xref='id1'>u</mi><mo>⁡</mo><mfenced><mn xref='id2'>1</mn></mfenced></mrow><mo>=</mo><mrow xref='id15'><mo>-</mo><mrow xref='id14'><mfrac xref='id4'><mn>1</mn><mn>2</mn></mfrac><mo>⁢</mo><mrow xref='id13'><mfrac><mrow xref='id11'><mrow xref='id7'><mroot><mn xref='id6'>3</mn><mn xref='id5'>6</mn></mroot></mrow><mo>⁢</mo><mrow xref='id10'><mi>Γ</mi><mo>⁡</mo><mfenced><mfrac xref='id9'><mn>2</mn><mn>3</mn></mfrac></mfenced></mrow></mrow><mn xref='id12'>π</mn></mfrac></mrow></mrow></mrow></mrow><annotation-xml encoding='MathML-Content'><apply id='id16'><eq/><apply id='id3'><ci id='id1'>u</ci><cn id='id2' type='integer'>1</cn></apply><apply id='id15'><minus/><apply id='id14'><times/><cn id='id4' type='rational'>1<sep/>2</cn><apply id='id13'><divide/><apply id='id11'><times/><apply id='id7'><root/><degree><cn id='id5' type='integer'>6</cn></degree><cn id='id6' type='integer'>3</cn></apply><apply id='id10'><csymbol id='id8' definitionURL='http://www.maplesoft.com/MathML/GAMMA'>GAMMA</csymbol><cn id='id9' type='rational'>2<sep/>3</cn></apply></apply><pi id='id12'/></apply></apply></apply></apply></annotation-xml><annotation encoding='Maple'>u(1) = -1/2*3^(1/6)/Pi*GAMMA(2/3)</annotation></semantics></math>
<math xmlns='http://www.w3.org/1998/Math/MathML'><semantics><mrow xref='id5'><mrow xref='id3'><mi xref='id1'>u</mi><mo>⁡</mo><mfenced><mn xref='id2'>2</mn></mfenced></mrow><mo>=</mo><mn xref='id4'>0</mn></mrow><annotation-xml encoding='MathML-Content'><apply id='id5'><eq/><apply id='id3'><ci id='id1'>u</ci><cn id='id2' type='integer'>2</cn></apply><cn id='id4' type='integer'>0</cn></apply></annotation-xml><annotation encoding='Maple'>u(2) = 0</annotation></semantics></math>