Difference between revisions of "Manuals/calci/GOLDENRATIO"

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=GOLDENRATIO(phismall)=
  
'''GOLDENRATIO'''(phismall)
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*where <math>phismall</math> is the logical value TRUE or FALSE.
  
where
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GOLDENRATIO() returns the golden ratio value.
  
'''phismall''' is true or false
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== Description ==
  
</div>
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*Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
----
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*Golden ratio is represented as '''phi(&phi;)''' and its conjugate is represented as '''Phi (&Phi)'''.
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*If 'a' and 'b' are two quantities with 'a>b', then
  
GOLDENRATIO function returns goldenratio in smallphi  or capitalphi depending on the argument.
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(&phi;) = <math>\frac{\(a + b)}{a}</math> = <math>\frac{\a}{b}</math>
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*Using quadratic formula, golden ratio is represented as -
  
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&phi; = <math>\frac{1+&sqrt; 5}{2}</math> = 1.618033988749895
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GOLDENRATIO returns goldenratio in smallphi if argument is not given.
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&Phi; = <math>\frac{1-&sqrt; 5}{2}</math> = 0.6180339887498948
  
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*Argument <math>phismall</math> can be logical values TRUE (or 1) or FALSE (or 0). Any other argument values are ignored and Calci assumes it to be TRUE or 1.
----
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*If argument <math>phismall</math> is omitted, Calci assumes it as TRUE or 1 and displays the output as ''0.6180339887498948''.
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*If argument is invalid, Calci returns a #NULL error message.
  
GOLDENRATIO
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== Examples ==
  
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GOLDENRATIO(TRUE) ''returns 0.6180339887498948'', value of capitalphi &Phi;
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Lets see an example in (Column2Row1)
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GOLDENRATIO(1) ''returns 0.6180339887498948'', value of capitalphi &Phi;
  
<nowiki>=GOLDENANGLE(false)</nowiki>
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GOLDENRATIO(FALSE) ''returns 1.618033988749895'', value of smallphi &phi;
  
Returns 0.618034 for GOLDENRATIO(false)
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GOLDENRATIO() ''returns 0.6180339887498948'', value of capitalphi &Phi;
  
Consider another example in (Column2Row2)
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== See Also ==
  
<nowiki>=GOLDENRATIO(true)</nowiki>
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*[[Manuals/calci/GOLDENANGLE  | GOLDENANGLE]]
  
Returns 1.618034 for =GOLDENRATIO(true)
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== References ==
  
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*[http://en.wikipedia.org/wiki/Golden_ratio Golden Ratio]
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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| class="sshl_f" | 0.618034
 
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| class="  " | Row2
 
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| class="sshl_f" | 1.618034
 
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<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>
 
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{|
 
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Revision as of 07:17, 19 December 2013

GOLDENRATIO(phismall)

  • where is the logical value TRUE or FALSE.

GOLDENRATIO() returns the golden ratio value.

Description

  • Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
  • Golden ratio is represented as phi(φ) and its conjugate is represented as Phi (&Phi).
  • If 'a' and 'b' are two quantities with 'a>b', then
(φ) = Failed to parse (syntax error): {\displaystyle \frac{\(a + b)}{a}}
 = 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 \frac{\a}{b}}

  • Using quadratic formula, golden ratio is represented as -

φ = Failed to parse (syntax error): {\displaystyle \frac{1+&sqrt; 5}{2}} = 1.618033988749895

Φ = Failed to parse (syntax error): {\displaystyle \frac{1-&sqrt; 5}{2}} = 0.6180339887498948

  • Argument can be logical values TRUE (or 1) or FALSE (or 0). Any other argument values are ignored and Calci assumes it to be TRUE or 1.
  • If argument is omitted, Calci assumes it as TRUE or 1 and displays the output as 0.6180339887498948.
  • If argument is invalid, Calci returns a #NULL error message.

Examples

GOLDENRATIO(TRUE) returns 0.6180339887498948, value of capitalphi Φ

GOLDENRATIO(1) returns 0.6180339887498948, value of capitalphi Φ

GOLDENRATIO(FALSE) returns 1.618033988749895, value of smallphi φ

GOLDENRATIO() returns 0.6180339887498948, value of capitalphi Φ

See Also

References