@@ Property / constraint @@
+ ${\displaystyle{\displaystyle z\neq\pm\mathrm{i}}}$ 
z\neq\pm\iunit
+Normal rank
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2aldec
@@ Property / Symbols used @@
+imaginary unit
@@ Property / Symbols used: imaginary unit / rank @@
+Normal rank
@@ Property / Symbols used: imaginary unit / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{i}}}$ 
\iunit
@@ Property / Symbols used: imaginary unit / qualifier @@
+xml-id: C1.S9.E1.m2amdec
@@ Property / Symbols used @@
+Q10816
@@ Property / Symbols used: Q10816 / rank @@
+Normal rank
@@ Property / Symbols used: Q10816 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$ 
\atan@@{\NVar{z}}
@@ Property / Symbols used: Q10816 / qualifier @@
+xml-id: C4.S23.SS2.p1.m7afdec
@@ Property / Symbols used @@
+general arctangent function
@@ Property / Symbols used: general arctangent function / rank @@
+Normal rank
@@ Property / Symbols used: general arctangent function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{Arctan}\NVar{z}}}$ 
\Atan@@{\NVar{z}}
@@ Property / Symbols used: general arctangent function / qualifier @@
+xml-id: C4.S23.E3.m2abdec
@@ Property / Symbols used @@
+Q11219
@@ Property / Symbols used: Q11219 / rank @@
+Normal rank
@@ Property / Symbols used: Q11219 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q11219 / qualifier @@
+xml-id: C4.S1.XMD1.m1bdec
@@ 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.m1abdec

DLMF:4.23.E33 (Q1785): Difference between revisions

z ≠ ± i 𝑧 plus-or-minus imaginary-unit {\displaystyle{\displaystyle z\neq\pm\mathrm{i}}}

π {\displaystyle{\displaystyle\pi}}

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}

Arctan ⁡ z multivalued-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{Arctan}\NVar{z}}}

k 𝑘 {\displaystyle{\displaystyle k}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 18:35, 1 January 2020

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${\displaystyle{\displaystyle z\neq\pm\mathrm{i}}}$

${\displaystyle{\displaystyle\pi}}$

${\displaystyle{\displaystyle\mathrm{i}}}$

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

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

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle z}}$