Manuals/calci/GOLDENRATIO

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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 (unknown function "\a"): {\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