Definition:Golden Mean/One Minus Golden Mean
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Definition
Let $\phi$ denote the golden mean:
- $\phi = \dfrac {1 + \sqrt 5} 2$
The number:
- $1 - \phi$
is often denoted $\hat \phi$.
Decimal Expansion
The decimal expansion of $\hat \phi$, $1$ minus the golden mean, starts:
- $\hat \phi \approx -0 \cdotp 61803 \, 39887 \ldots$
Also denoted as
The number $1 - \phi$ can also be seen denoted as $\phi'$.
Also see
- Reciprocal Form of One Minus Golden Mean: $\hat \phi = - \dfrac 1 \phi$
- Closed Form of One Minus Golden Mean: $\hat \phi = \dfrac {1 - \sqrt 5} 2$
Sources
- 1997: Donald E. Knuth: The Art of Computer Programming: Volume 1: Fundamental Algorithms (3rd ed.) ... (previous) ... (next): $\S 1.2.8$: Fibonacci Numbers: $(13)$