ℂ <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b"> <complexes id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.2"/> </annotation-xml> {\displaystyle{\displaystyle\mathbb{C}}}
∈ <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b"> <in id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/> </annotation-xml> {\displaystyle{\displaystyle\in}}
arcsinh ⁡ z <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b"> <apply id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.5"> <csymbol cd="dlmf" id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.8">hyperbolic-inverse-sine</csymbol> <ci id="p1.1.m1.1.1.4.cmml" xref="p1.1.m1.1.1.4">𝑧</ci> </apply> </annotation-xml> {\displaystyle{\displaystyle\operatorname{arcsinh}\NVar{z}}}
i <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b"> <csymbol cd="dlmf" id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.2">imaginary-unit</csymbol> </annotation-xml> {\displaystyle{\displaystyle\mathrm{i}}}
ln ⁡ z <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b"> <apply id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.5"> <ln id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.2"/> <ci id="p1.1.m1.1.1.4.cmml" xref="p1.1.m1.1.1.4">𝑧</ci> </apply> </annotation-xml> {\displaystyle{\displaystyle\ln\NVar{z}}}
( a , b ) <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b"> <interval closure="open" id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6"> <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑎</ci> <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑏</ci> </interval> </annotation-xml> {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
∖ <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b"> <setdiff id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/> </annotation-xml> {\displaystyle{\displaystyle\setminus}}
∪ <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b"> <union id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/> </annotation-xml> {\displaystyle{\displaystyle\cup}}
z <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b"> <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑧</ci> </annotation-xml> {\displaystyle{\displaystyle z}}