ag-gipp/GoUldI

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data/mathtoweb/154.mml

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<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>Ln</mi><mi>&#x00393;</mi><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mi>z</mi><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow><mo>=</mo><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mi>z</mi><mo>-</mo><mstyle scriptlevel="0" displaystyle="false"><mrow><mfrac linethickness="1"><mn>1</mn><mn>2</mn></mfrac></mrow></mstyle><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow><mi>ln</mi><mi>z</mi><mo>-</mo><mi>z</mi><mo>+</mo><mstyle scriptlevel="0" displaystyle="false"><mrow><mfrac linethickness="1"><mn>1</mn><mn>2</mn></mfrac></mrow></mstyle><mi>ln</mi><mrow><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mn>2</mn><mi>&#x003C0;</mi><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow><mo>+</mo><mn>2</mn><mstyle displaystyle="true"><munderover><mo>&#x0222B;</mo><mn>0</mn><mo>&#x0221E;</mo></munderover></mstyle><mfrac linethickness="1"><mrow><mi>arctan</mi><mo rspace="0.3em" lspace="0em" stretchy="true" fence="true" form="prefix">(</mo><mi>t</mi><mo>&#x0002F;</mo><mi>z</mi><mo rspace="0em" lspace="0.3em" stretchy="true" fence="true" form="postfix">)</mo></mrow><mrow><msup><mi>e</mi><mrow><mn>2</mn><mi>&#x003C0;</mi><mi>t</mi></mrow></msup><mo>-</mo><mn>1</mn></mrow></mfrac><mi mathvariant="normal">d</mi><mi>t</mi></mrow></math>