@@ Property / constraint @@
+ ${\displaystyle{\displaystyle z\in\mathbb{C}\setminus(-\infty,1)}}$ 
z\in\Complexes\setminus(-\infty,1)
+Normal rank
@@ Property / Symbols used @@
+Q10923
@@ Property / Symbols used: Q10923 / rank @@
+Normal rank
@@ Property / Symbols used: Q10923 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathbb{C}}}$ 
\Complexes
@@ Property / Symbols used: Q10923 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r1.m2aadec
@@ Property / Symbols used @@
+Q10784
@@ Property / Symbols used: Q10784 / rank @@
+Normal rank
@@ Property / Symbols used: Q10784 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\in}}$ 
\in
@@ Property / Symbols used: Q10784 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r10.m2acdec
@@ Property / Symbols used @@
+Q11246
@@ Property / Symbols used: Q11246 / rank @@
+Normal rank
@@ Property / Symbols used: Q11246 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}}$ 
\acosh@@{\NVar{z}}
@@ Property / Symbols used: Q11246 / qualifier @@
+xml-id: C4.S37.SS2.p1.m9acdec
@@ Property / Symbols used @@
+principal branch of logarithm function
@@ Property / Symbols used: principal branch of logarithm function / rank @@
+Normal rank
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\ln\NVar{z}}}$ 
\ln@@{\NVar{z}}
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+xml-id: C4.S2.E2.m2acdec
@@ Property / Symbols used @@
+Q10777
@@ Property / Symbols used: Q10777 / rank @@
+Normal rank
@@ Property / Symbols used: Q10777 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}$ 
(\NVar{a},\NVar{b})
@@ Property / Symbols used: Q10777 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r29.m6aadec
@@ Property / Symbols used @@
+Q10785
@@ Property / Symbols used: Q10785 / rank @@
+Normal rank
@@ Property / Symbols used: Q10785 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\setminus}}$ 
\setminus
@@ Property / Symbols used: Q10785 / qualifier @@
+xml-id: introduction.Sx4.p2.t1.r19.m2aadec
@@ Property / Symbols used @@
+Q11217
@@ Property / Symbols used: Q11217 / rank @@
+Normal rank
@@ Property / Symbols used: Q11217 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11217 / qualifier @@
+xml-id: C4.S1.XMD8.m1qdec

DLMF:4.37.E19 (Q1938): Difference between revisions

z ∈ ℂ ∖ ( - ∞ , 1 ) 𝑧 1 {\displaystyle{\displaystyle z\in\mathbb{C}\setminus(-\infty,1)}}

ℂ {\displaystyle{\displaystyle\mathbb{C}}}

∈ {\displaystyle{\displaystyle\in}}

arccosh ⁡ z hyperbolic-inverse-cosine 𝑧 {\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}}

ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}

∖ {\displaystyle{\displaystyle\setminus}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 19:16, 1 January 2020

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${\displaystyle{\displaystyle z\in\mathbb{C}\setminus(-\infty,1)}}$

${\displaystyle{\displaystyle\mathbb{C}}}$

${\displaystyle{\displaystyle\in}}$

${\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}}$

${\displaystyle{\displaystyle\ln\NVar{z}}}$

${\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}$

${\displaystyle{\displaystyle\setminus}}$

${\displaystyle{\displaystyle z}}$