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The 3 bracelets with 3 red and 3 green beads. The one in the middle is chiral, so there are 4 necklaces. Compare box(6,9) in the triangle. The 11 bracelets with 2 red, 2 yellow and 2 green beads. The leftmost one and the four rightmost ones are chiral, so there are 16 necklaces.
The number of aperiodic necklaces (or equivalently Lyndon words), which are cyclic arrangements of n colored beads having α available colors. Two such necklaces are considered equal if they are related by a rotation (not considering reflections). Aperiodic refers to necklaces without rotational symmetry, having n distinct rotations.
For example, a gold alloy of 127 ⁄ 128 fineness (that is, 99.2% purity) could have been described as being 23-karat, 3-grain, 1-quart gold. The carat fractional system is increasingly being complemented or superseded by the millesimal system, described above for bullion, though jewelry generally tends to still use the carat system.
Aqua regia (/ ˈ r eɪ ɡ i ə, ˈ r iː dʒ i ə /; from Latin, "regal water" or "royal water") is a mixture of nitric acid and hydrochloric acid, optimally in a molar ratio of 1:3. [ b ] Aqua regia is a fuming liquid.
Today's US teaspoon is equivalent to exactly 4.92892159375 ml, which is also 1 ⁄ 6 US fluid ounces, 1 + 1 ⁄ 3 US fluid drams, [5]: C-18 or 80 US minims. [5]: C-5 C-5 While pharmaceuticals are measured nowadays exclusively in metric units, fluid drams are still used to measure the capacity of pill containers .
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