Difference between revisions of "Ln"

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m (Text replacement - "\$([^\$]+)\$" to "\\(\1\\)")
 
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$\ln \!=\!\log_{\mathrm e}\!=\!\mathrm{Log}$ is name of natural logarithmic function, that appears as solution of the differential equation
+
\(\ln \!=\!\log_{\mathrm e}\!=\!\mathrm{Log}\) is name of natural logarithmic function, that appears as solution of the differential equation
   
$\displaystyle
+
\(\displaystyle
\ln'(z)=\frac{1}{z}$
+
\ln'(z)=\frac{1}{z}\)
   
 
or as inverse function, id est, the minus first iteration of natural exponential [[exp]],
 
or as inverse function, id est, the minus first iteration of natural exponential [[exp]],
   
$\ln(z)=\exp^{-1}(z)$
+
\(\ln(z)=\exp^{-1}(z)\)

Latest revision as of 18:49, 30 July 2019

\(\ln \!=\!\log_{\mathrm e}\!=\!\mathrm{Log}\) is name of natural logarithmic function, that appears as solution of the differential equation

\(\displaystyle \ln'(z)=\frac{1}{z}\)

or as inverse function, id est, the minus first iteration of natural exponential exp,

\(\ln(z)=\exp^{-1}(z)\)