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Statements
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,
superscript
superscript
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2
𝑦
1
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𝛼
𝑦
𝛼
superscript
superscript
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𝑦
1
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𝛼
𝑥
superscript
superscript
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superscript
𝛼
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superscript
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superscript
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𝛼
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superscript
superscript
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1
superscript
𝛼
2
1
2
{\displaystyle{\displaystyle{\left(\alpha^{2}-y\right)^{1/2}+\tfrac{1}{2}%
\alpha\ln|y|-\alpha\ln\left(\left(\alpha^{2}-y\right)^{1/2}+\alpha\right)}={%
\ln\left(\frac{x+\left(x^{2}-1+\alpha^{2}\right)^{1/2}}{\left(1-\alpha^{2}%
\right)^{1/2}}\right)+\frac{\alpha}{2}\ln\left(\frac{\left(1-\alpha^{2}\right)%
\left|1-x^{2}\right|}{\left(1+\alpha^{2}\right)x^{2}-1+\alpha^{2}+2\alpha x%
\left(x^{2}-1+\alpha^{2}\right)^{1/2}}\right)},}}
y
≤
α
2
𝑦
superscript
𝛼
2
{\displaystyle{\displaystyle y\leq\alpha^{2}}}
ln
z
𝑧
{\displaystyle{\displaystyle\ln\NVar{z}}}
x
𝑥
{\displaystyle{\displaystyle x}}
y
𝑦
{\displaystyle{\displaystyle y}}
α
𝛼
{\displaystyle{\displaystyle\alpha}}
Identifiers
