Difference between revisions of "Manuals/calci/EXP"
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<div style="font-size:30px">'''EXP(x)'''</div><br/> | <div style="font-size:30px">'''EXP(x)'''</div><br/> | ||
*where <math>x</math> is the number . | *where <math>x</math> is the number . | ||
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==Description== | ==Description== | ||
*This function gives the <math>e</math> raised to the power of number. | *This function gives the <math>e</math> raised to the power of number. | ||
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*And the inverse function of the natural logarithm function is the exponential function: | *And the inverse function of the natural logarithm function is the exponential function: | ||
<math>f^{-1}(x) = e^x</math>. | <math>f^{-1}(x) = e^x</math>. | ||
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| + | ==ZOS Section== | ||
| + | *The syntax is to calculate the EXP in ZOS is <math>EXP(x)</math>. | ||
| + | **where <math>x</math> is the number . | ||
| + | *For e.g.,exp(5)..exp(6) | ||
==Examples== | ==Examples== | ||
Revision as of 04:19, 23 April 2014
EXP(x)
- where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} is the number .
Description
- This function gives the Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e} raised to the power of number.
- In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle EXP(x)} , where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} represents the exponent of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e} or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e^x} .
- The approximate value of the constant Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e=2.718281828459045} and it is equal to or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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:
or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle EXP(1)}
.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f^{-1}(x) = e^x} .
ZOS Section
- The syntax is to calculate the EXP in ZOS is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle EXP(x)}
.
- where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} is the number .
- For e.g.,exp(5)..exp(6)
Examples
- =EXP(1)=2.718281828459045
- =EXP(0)=1
- =EXP(-5)=0.0067379469990
- =EXP(6.3)=544.5719101259