Difference between revisions of "Manuals/calci/EXPOF"

Revision as of 13:50, 11 April 2017

EXPOF(x)

This function gives the $e$ raised to the power of number.
In $EXPOF(x)$ , where $x$ represents the exponent of $e$ or $e^{x}$ .
The approximate value of the constant $e=2.718281828459045$ and it is equal to $e^{x}$ or $EXP(1)$ .
It is called the Mathematical Constant or Euler's Number or Napier's Constant.
It is the base of natural logarithm.
It can be calculate the sum of infinite series: $e=1+{\frac {1}{1}}+{\frac {1}{1.2}}+{\frac {1}{1.2.3}}+{\frac {1}{1.2.3.4}}+...$
And the inverse function of the natural logarithm function is the exponential function:

$f^{-1}(x)=e^{x}$ .

EXPOF(1) = 2.718281828459045 7.38905609893065 20.085536923187668 54.598150033144236 148.4131591025766 403.4287934927351 1096.6331584284585 2980.9579870417283 8103.083927575384 22026.465794806718

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-expof
+<div style="font-size:30px">'''EXPOF(x)'''</div><br/>
+*<math>x</math> is the number.
+==Description==
+*This function gives the <math>e</math> raised to the power of number.
+*In <math>EXPOF(x)</math>, where <math>x</math> represents the exponent of <math>e</math> or <math>e^x</math>.
+*The approximate  value of the constant <math>e=2.718281828459045</math> and it is equal to <math>e^x</math> or <math>EXP(1)</math>.
+*It is called the Mathematical Constant or Euler's Number or Napier's Constant.
+*It is the base of natural logarithm.
+*It can be calculate the sum of infinite series: <math>e=1+\frac{1}{1}+\frac{1}{1.2}+\frac{1}{1.2.3}+\frac{1}{1.2.3.4} +...</math>
+*And the inverse function of the natural logarithm function is the exponential function:
+<math>f^{-1}(x) = e^x</math>.
+==Examples==
+#EXPOF(1) = 2.718281828459045 7.38905609893065 20.085536923187668 54.598150033144236 148.4131591025766 403.4287934927351 1096.6331584284585 2980.9579870417283 8103.083927575384 22026.465794806718
+==See Also==
+*[[Manuals/calci/IMEXP  | IMEXP ]]
+*[[Manuals/calci/LOG  | LOG ]]
+*[[Manuals/calci/LN  | LN ]]
+==References==
+[http://en.wikipedia.org/wiki/Exponential_function   Exponential function]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]