DLMF:4.8.E9 (Q1600): Difference between revisions

@@ Property / constraint @@
+ ${\displaystyle{\displaystyle-\pi\leq\Im z\leq\pi}}$ 
-\pi\leq\imagpart@@{z}\leq\pi
+Normal rank
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+test:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2aedec
@@ Property / Symbols used @@
+exponential function
@@ Property / Symbols used: exponential function / rank @@
+Normal rank
@@ Property / Symbols used: exponential function / qualifier @@
+test:  ${\displaystyle{\displaystyle\exp\NVar{z}}}$ 
\exp@@{\NVar{z}}
@@ Property / Symbols used: exponential function / qualifier @@
+xml-id: C4.S2.E19.m2aadec
@@ Property / Symbols used @@
+Q10901
@@ Property / Symbols used: Q10901 / rank @@
+Normal rank
@@ Property / Symbols used: Q10901 / qualifier @@
+test:  ${\displaystyle{\displaystyle\Im}}$ 
\imagpart@@
@@ Property / Symbols used: Q10901 / qualifier @@
+xml-id: C1.S9.E2.m2adec
@@ 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 @@
+test:  ${\displaystyle{\displaystyle\ln\NVar{z}}}$ 
\ln@@{\NVar{z}}
@@ Property / Symbols used: principal branch of logarithm function / qualifier @@
+xml-id: C4.S2.E2.m2addec
@@ Property / Symbols used @@
+Q11217
@@ Property / Symbols used: Q11217 / rank @@
+Normal rank
@@ Property / Symbols used: Q11217 / qualifier @@
+test:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11217 / qualifier @@
+xml-id: C4.S1.XMD8.m1hdec

DLMF:4.8.E9 (Q1600): Difference between revisions

${\displaystyle{\displaystyle-\pi\leq\Im z\leq\pi}}$

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

${\displaystyle{\displaystyle\exp\NVar{z}}}$

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

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

${\displaystyle{\displaystyle z}}$

Latest revision as of 17:12, 1 January 2020

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DLMF:4.8.E9 (Q1600): Difference between revisions

- π ≤ ℑ ⁡ z ≤ π 𝜋 𝑧 𝜋 {\displaystyle{\displaystyle-\pi\leq\Im z\leq\pi}}

π {\displaystyle{\displaystyle\pi}}

exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}

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

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

z 𝑧 {\displaystyle{\displaystyle z}}

Latest revision as of 17:12, 1 January 2020

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${\displaystyle{\displaystyle-\pi\leq\Im z\leq\pi}}$

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

${\displaystyle{\displaystyle\exp\NVar{z}}}$

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

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

${\displaystyle{\displaystyle z}}$