Difference between revisions of "Manuals/calci/TETRATE"
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(Created page with "<div style="font-size:30px">'''TETRATE(a,n)'''</div><br/> *<math>a</math> ==Description== *This function shows the tetration value of the given number. *In <math>TETRATE(a,n...") |
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<div style="font-size:30px">'''TETRATE(a,n)'''</div><br/> | <div style="font-size:30px">'''TETRATE(a,n)'''</div><br/> | ||
| − | *<math>a</math> | + | *<math>a</math> is the base value. |
| + | *<math>n</math> is power value. | ||
==Description== | ==Description== | ||
Revision as of 14:39, 31 May 2017
TETRATE(a,n)
- 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 a} is the base value.
- 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 n} is power value.
Description
- This function shows the tetration value of the given 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 TETRATE(a,n)} , is the base value and 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 n} is the power value.
- The hyperoperation after exponentiation is Tetration.
- Tetration is called iterated exponentiation.
- The notation 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 ^n a} means 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 a^a^a...} the application of exponentiation {\displaystyle n-1} n-1 times.
- Tetration is simply defined by:For any positive real {\displaystyle a>0} a>0 and non-negative integer {\displaystyle n\geq 0} n\geq 0, we define {\displaystyle \,\!{^{n}a}} \,\!{^{n}a} by:
is the base value and 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 n}
is the power value.