Difference between revisions of "Manuals/calci/SLOG"

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SLOG
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<div style="font-size:30px">'''SLOG (Number,Base)'''</div><br/>
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*<math> Number</math> is any real number.
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*<math>Base</math> is any positive real number.
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==Description==
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*This function shows the super logarithm of the given number.
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*In <math>SLOG(Number,Base)</math>,<math>Number</math> is the value to find log value.
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*<math>Base</math> is the base value of the Log.
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*SLOG is the super-logarithm which is one of the two inverse functions of tetration.
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*This is also called Tetra logarithm.
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*The two exponentiation function powers and exponentials have two inverse functions roots and logarithms,the two tetration functions tetra powers and tetra exponentials have two inverse functions tetra roots and tetra logarithms also called super roots and super logarithms.
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*The super-logarithm, written <math>slog_{b}{z}</math> is defined implicitly by
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<math>slog_{b}(b^{z}) = slog_{b}{z}+1 </math> and
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<math> slog_{b}(1) = 0</math>

Revision as of 14:10, 9 May 2017

SLOG (Number,Base)


  • 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 Number} is any real number.
  • 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 Base} is any positive real number.

Description

  • This function shows the super logarithm 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 SLOG(Number,Base)} ,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 Number} is the value to find log value.
  • is the base value of the Log.
  • SLOG is the super-logarithm which is one of the two inverse functions of tetration.
  • This is also called Tetra logarithm.
  • The two exponentiation function powers and exponentials have two inverse functions roots and logarithms,the two tetration functions tetra powers and tetra exponentials have two inverse functions tetra roots and tetra logarithms also called super roots and super logarithms.
  • The super-logarithm, written 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 slog_{b}{z}} is defined implicitly by

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 slog_{b}(b^{z}) = slog_{b}{z}+1 } 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 slog_{b}(1) = 0}