Metallic MOS: Difference between revisions

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A number of names and symbols have historically been used to denote metallic means. But many of them are ambiguous, or outright conflict with each other, and unfortunately none of them are optimal for met-MOS purposes. We’ve gotten by alright so far using traditional names and symbols in this discussion, but for the master charts we’re going to need to break from tradition in order to most clearly convey the patterns therein. So, we here propose a new notation using the Greek letter <math>μ</math>, read “mu” (<math>μ</math> because “m” figures so prominently in this domain: “m” for metallic, mean, or moment).

This <math>μ</math> notation is a direct ~~mapping~~ of the continued fraction for the metallic mean or isotope, as can clearly be seen in the following chart.

This <math>μ</math> notation is a [[direct approximation]] of the continued fraction for the metallic mean or isotope, as can clearly be seen in the following chart.

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 A number of names and symbols have historically been used to denote metallic means. But many of them are ambiguous, or outright conflict with each other, and unfortunately none of them are optimal for met-MOS purposes. We’ve gotten by alright so far using traditional names and symbols in this discussion, but for the master charts we’re going to need to break from tradition in order to most clearly convey the patterns therein. So, we here propose a new notation using the Greek letter <math>μ</math>, read “mu” (<math>μ</math> because “m” figures so prominently in this domain: “m” for metallic, mean, or moment).
-This <math>μ</math> notation is a direct mapping of the continued fraction for the metallic mean or isotope, as can clearly be seen in the following chart.
+This <math>μ</math> notation is a [[direct approximation]] of the continued fraction for the metallic mean or isotope, as can clearly be seen in the following chart.
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