DLMF:4.5.E6 (Q1559): Difference between revisions

Latest revision as of 18:07, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:4.5.E6	No description defined

{\displaystyle{\displaystyle|\ln\left(1+z\right)|\leq-\ln\left(1-|z|\right),}}

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DLMF:4.5.E6

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{\displaystyle{\displaystyle|z|<1}}

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

C4.S2.E2.m2aedec

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{\displaystyle{\displaystyle z}}

C4.S1.XMD8.m1dec

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@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|z|<1}}$ 
|z|<1
@@ Property / constraint: ${\displaystyle{\displaystyle|z|<1}}$ / rank @@
+Normal rank
@@ 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.m2aedec
@@ 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.m1dec