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In Russia, ring sizes are equal to the inner diameter rounded to whole and half numbers, sometimes to quarters, for example diameter 16.92 mm is equal to size 17, 16.1 mm is equal to size 16. Equivalency table
It is particularly important in number theory since it measures the size of an ideal of a complicated number ring in terms of an ideal in a less complicated ring. When the less complicated number ring is taken to be the ring of integers, Z, then the norm of a nonzero ideal I of a number ring R is simply the size of the finite quotient ring R/I.
However, I've seen many sites claim that a US size 0 is 11.53mm, not 11.63. I've seen other pages that list it as ring_diameter = 11.54 + 0.83 * ring size, which more closely agrees with the size 0 number. On the other hand, a linear regression of this chart results in 11.634 + .8136 x ring_size. It's all over the place, and the charts don't ...
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A gauge number denotes a thickness on a standardized scale which, for most purposes, starts at 20g (0.812 mm thick— often used for the posts for nose studs), and increases in thickness (as the gauge number decreases) to 0g, then 00g, and rarely goes any further as these thicknesses come closer and closer to 1 ⁄ 2 ″.
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