Talk:Golden ratio

mvar template displaying variable name with odd line breaks in infobox on mobile

On my android mobile device, the title of the initial infobox takes up three lines because of what seems to be some odd behavior of the mvar template, adding line breaks within the parentheses for the variable name. Can anyone replicate this and figure out how to fix it? It displays perfectly on a computer browser... Willmskinner (talk) 03:11, 27 August 2024 (UTC)

Semi-protected edit request on 7 September 2024

In the "Music" section of the article it talks about Debussy's "Reflets dans l'eau" which actually translates to "reflections in the water" instead of just "reflections in water" This is a very small change so I apologize for the inconvenience. 2A02:A58:8291:BC00:C82B:18DC:E9C4:DB34 (talk) 10:41, 7 September 2024 (UTC)

"reflections in water" is the correct translation: English and French grammars are not the same, and it is without "the" that the meaning is kept. However, I fixed the capitalization. D.Lazard (talk) 16:46, 7 September 2024 (UTC)

By the way, would reflets en eau also be correct? —Tamfang (talk) 02:44, 17 December 2024 (UTC)

Semi-protected edit request on 16 December 2024

Above the definition of Rogers-Ramanujan function R(q) change "For , let" to "For example, let". 2A00:1028:8388:6446:AD6C:8E02:2C5A:FBD4 (talk) 16:48, 16 December 2024 (UTC)

Template:Respond: This was a format error resulting that a fomula was not displayed before the comma. D.Lazard (talk) 18:21, 16 December 2024 (UTC)

Semi-protected edit request on 15 March 2025

Please change:

The decimal expansion of the golden ratio Template:Tmath has been calculated to an accuracy of ten trillion (Template:Tmath) digits.

to:

The decimal expansion of the golden ratio Template:Tmath has been calculated to an accuracy of twenty trillion (Template:Tmath) digits.

as the referenced y-cruncher link indicates Jordan Ranous computed 20,000,000,000,000 digits of the golden ratio on November 27, 2023. Qqid (talk) 10:00, 15 March 2025 (UTC)

File:Yes check.svg Done Warriorglance(talk to me) 06:16, 16 March 2025 (UTC)

Unreasoned reversion

The imaginary and negative values of the Golden Ratio is an important part in terms of number theory.

Imaginary Golden Ratio

Discussions on the negative value and the imaginary value of the Golden Ratio emerged in modern and contemporary mathematics. The negative value of the function $\frac{1-\sqrt{5}}{2}$ and the imaginary solution $\frac{1\pm i\sqrt{3}}{2}$ are both considered. With reltion to Euler's identity, it is proposed ${\mathrm{\Phi }}_i=e^{\pm \frac{i\pi }{3}}$. Quinhonk (talk) 13:09, 19 June 2025 (UTC)

I don't think there is anything in the 2014 reference that is not already in our article, Math Forums is not a reliable source by Wikipedia standards, and your "imaginary value" is not the golden ratio (it is a different complex number) and does not satisfy the usual definitions or equations for the golden ratio. —David Eppstein (talk) 18:23, 19 June 2025 (UTC)

By definition of the Golden Ratio, it never implicated its numerical value, but only the satisfaction of the functional predicate. The Golden Ratio is defined by the proportions, not the numerical solutions. Quinhonk (talk) 08:01, 20 June 2025 (UTC)

There's no such thing as an "imaginary golden ratio", or an "imaginary value of the golden ratio". The golden ratio is a real number by definition. Stepwise Continuous Dysfunction (talk) 20:10, 19 June 2025 (UTC)

It is only expressed as a number, and the normatively used one is only one of the derivatives. Quinhonk (talk) 08:02, 20 June 2025 (UTC)

The complex number has an interesting analogy to the golden ratio (some identities correspond with a changed sign), but is not itself golden. With language suited to this caveat it might be worth mention. —Tamfang (talk) 02:06, 20 June 2025 (UTC)

I think you're on something. Indeed, from the definition of the Golden Ratio, many identities can be derived and look quite fun. But the positive solution is only one of the identities that was accepted, depending on the number line. Quinhonk (talk) 08:04, 20 June 2025 (UTC)

From the Chinese history of mathematical philosophy, Taoism never conceived the notion of negative numbers, and zero is literally reserved in the wording of Tao. Quinhonk (talk) 08:06, 20 June 2025 (UTC)

Constructible Number

It looks like no one wants to change the status quo here with the revision (mainly I see that this page is entirely written in Python style but computing is not maths):

The infinite power root of $({\varphi }^2-\varphi {)}^{\frac{1}{n}},n\in N$ is bounded by $i^{-\frac{1}{2}}$.