DLMF:4.38.E6 (Q1956): Difference between revisions

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\Im z\gtrless 0}}$ 
\imagpart@@{z}\gtrless 0
@@ Property / constraint: ${\displaystyle{\displaystyle\Im z\gtrless 0}}$ / rank @@
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle\left|z\right|\geq 1}}$ 
\abs{z}\geq 1
+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.m2adec
@@ Property / Symbols used @@
+Q11248
@@ Property / Symbols used: Q11248 / rank @@
+Normal rank
@@ Property / Symbols used: Q11248 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{arctanh}\NVar{z}}}$ 
\atanh@@{\NVar{z}}
@@ Property / Symbols used: Q11248 / qualifier @@
+xml-id: C4.S37.SS2.p1.m10aadec
@@ Property / Symbols used @@
+Q10901
@@ Property / Symbols used: Q10901 / rank @@
+Normal rank
@@ Property / Symbols used: Q10901 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Im}}$ 
\imagpart@@
@@ Property / Symbols used: Q10901 / qualifier @@
+xml-id: C1.S9.E2.m2adec
@@ 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.m2adec
@@ 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.m1edec

DLMF:4.38.E6 (Q1956): Difference between revisions

${\displaystyle{\displaystyle\Im z\gtrless 0}}$

${\displaystyle{\displaystyle\left|z\right|\geq 1}}$

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

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

${\displaystyle{\displaystyle\Im}}$

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

${\displaystyle{\displaystyle z}}$

Latest revision as of 19:19, 1 January 2020

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DLMF:4.38.E6 (Q1956): Difference between revisions

ℑ ⁡ z ≷ 0 greater-than-or-less-than 𝑧 0 {\displaystyle{\displaystyle\Im z\gtrless 0}}

| z | ≥ 1 𝑧 1 {\displaystyle{\displaystyle\left|z\right|\geq 1}}

π {\displaystyle{\displaystyle\pi}}

arctanh ⁡ z hyperbolic-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{arctanh}\NVar{z}}}

ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}

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

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 19:19, 1 January 2020

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${\displaystyle{\displaystyle\Im z\gtrless 0}}$

${\displaystyle{\displaystyle\left|z\right|\geq 1}}$

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

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

${\displaystyle{\displaystyle\Im}}$

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

${\displaystyle{\displaystyle z}}$