TIFE comma: Difference between revisions
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== Properties == | == Properties == | ||
A subgroup comma may or may not be a tife depending on the choice of the [[basis]] of the subgroup. For example, [[81/80]] is a tife in the subgroup 2.3.5 when using the basis {2, 3, 5}, because 81/80 = 2<sup>−4</sup> · 3<sup>4</sup> · 5<sup>−1</sup>, but not when using the basis {2, 3/2, 5}, because 81/80 = 2<sup>0</sup> · (3/2)<sup>4</sup> · 5<sup>−1</sup> and at least of the exponents in that expression is 0. | A subgroup comma may or may not be a tife depending on the choice of the [[basis]] of the subgroup. For example, [[81/80]] is a tife in the subgroup 2.3.5 when using the basis {2, 3, 5}, because 81/80 = 2<sup>−4</sup> · 3<sup>4</sup> · 5<sup>−1</sup>, but not when using the basis {2, 3/2, 5}, because 81/80 = 2<sup>0</sup> · (3/2)<sup>4</sup> · 5<sup>−1</sup> and at least one of the exponents in that expression is 0. | ||
== See also == | == See also == | ||
Revision as of 02:04, 19 January 2023
A target-list-inclusive fully dimensionally entangled comma (TIFE comma or tife) is a subgroup comma that grabs every subgroup dimension at the same time, for whatever subgroup one is working on or looking at.[1]
The term was coined by Scott Dakota.[1]
Properties
A subgroup comma may or may not be a tife depending on the choice of the basis of the subgroup. For example, 81/80 is a tife in the subgroup 2.3.5 when using the basis {2, 3, 5}, because 81/80 = 2−4 · 34 · 5−1, but not when using the basis {2, 3/2, 5}, because 81/80 = 20 · (3/2)4 · 5−1 and at least one of the exponents in that expression is 0.