@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|\Re z|<\tfrac{1}{2}\pi}}$ 
|\Re z|<\tfrac{1}{2}\pi
+Normal rank
@@ Property / constraint @@
+ ${\displaystyle{\displaystyle az\neq\pm\tfrac{1}{2}\pi,\pm\tfrac{3}{2}\pi,\dots}}$ 
az\neq\pm\tfrac{1}{2}\pi,\pm\tfrac{3}{2}\pi,\dots
+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.m2aadec
@@ Property / Symbols used @@
+Q10811
@@ Property / Symbols used: Q10811 / rank @@
+Normal rank
@@ Property / Symbols used: Q10811 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\Re}}$ 
\realpart@@
@@ Property / Symbols used: Q10811 / qualifier @@
+xml-id: C1.S9.E2.m1adec
@@ Property / Symbols used @@
+tangent function
@@ Property / Symbols used: tangent function / rank @@
+Normal rank
@@ Property / Symbols used: tangent function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\tan\NVar{z}}}$ 
\tan@@{\NVar{z}}
@@ Property / Symbols used: tangent function / qualifier @@
+xml-id: C4.S14.E4.m2aadec
@@ Property / Symbols used @@
+Q11221
@@ Property / Symbols used: Q11221 / rank @@
+Normal rank
@@ Property / Symbols used: Q11221 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle a}}$ 
a
@@ Property / Symbols used: Q11221 / qualifier @@
+xml-id: C4.S1.XMD4.m1dec
@@ 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.m1adec

DLMF:4.25.E2 (Q1813): Difference between revisions

| ℜ ⁡ z | < 1 2 ⁢ π 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\Re z|<\tfrac{1}{2}\pi}}

a ⁢ z ≠ ± 1 2 ⁢ π , ± 3 2 ⁢ π , … 𝑎 𝑧 plus-or-minus 1 2 𝜋 plus-or-minus 3 2 𝜋 … {\displaystyle{\displaystyle az\neq\pm\tfrac{1}{2}\pi,\pm\tfrac{3}{2}\pi,\dots}}

π {\displaystyle{\displaystyle\pi}}

ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}

tan ⁡ z 𝑧 {\displaystyle{\displaystyle\tan\NVar{z}}}

a 𝑎 {\displaystyle{\displaystyle a}}

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 18:39, 1 January 2020

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${\displaystyle{\displaystyle|\Re z|<\tfrac{1}{2}\pi}}$

${\displaystyle{\displaystyle az\neq\pm\tfrac{1}{2}\pi,\pm\tfrac{3}{2}\pi,\dots}}$

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

${\displaystyle{\displaystyle\Re}}$

${\displaystyle{\displaystyle\tan\NVar{z}}}$

${\displaystyle{\displaystyle a}}$

${\displaystyle{\displaystyle z}}$