TIFE comma: Difference between revisions

(5 intermediate revisions by 4 users not shown)

Line 1:

A '''target-list-inclusive fully dimensionally entangled comma''' ('''TIFE comma''' or '''tife''') is a [[subgroup]] [[comma]] that grabs every subgroup [[Rank_and_codimension|dimension]] at the same time, for whatever subgroup one is working on or looking at.<ref name="def">Dakota, Scott. https://discord.com/channels/332357996569034752/516067802864549890/866332500729397289</ref>

A '''target-list-inclusive fully-dimensionally-entangled comma''' ('''TIFE comma''' or '''tife''') is a [[subgroup]] [[comma]] that grabs every subgroup [[Rank_and_codimension|dimension]] at the same time, for whatever subgroup one is working on or looking at.<ref name="def">Dakota, Scott. https://discord.com/channels/332357996569034752/516067802864549890/866332500729397289</ref>

The term was coined by Scott Dakota.<ref name="def" />

The term was coined by [[Scott Dakota]].<ref name="def" />

== 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 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 = 2−4 · 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.

== See also ==

Line 13:

[[Category:~~Commas]]~~

[[Category:Comma]]

~~[[Category:Theory]]~~

~~[[Category:Stub~~]]

[[Category:Todo:expand]]

@@ Line 1: / Line 1: @@
-A '''target-list-inclusive fully dimensionally entangled comma''' ('''TIFE comma''' or '''tife''') is a [[subgroup]] [[comma]] that grabs every subgroup [[Rank_and_codimension|dimension]] at the same time, for whatever subgroup one is working on or looking at.<ref name="def">Dakota, Scott. https://discord.com/channels/332357996569034752/516067802864549890/866332500729397289</ref>
+A '''target-list-inclusive fully-dimensionally-entangled comma''' ('''TIFE comma''' or '''tife''') is a [[subgroup]] [[comma]] that grabs every subgroup [[Rank_and_codimension|dimension]] at the same time, for whatever subgroup one is working on or looking at.<ref name="def">Dakota, Scott. https://discord.com/channels/332357996569034752/516067802864549890/866332500729397289</ref>
-The term was coined by Scott Dakota.<ref name="def" />
+The term was coined by [[Scott Dakota]].<ref name="def" />
 == 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 ==
@@ Line 13: / Line 13: @@
 <references />
-[[Category:Commas]]
+[[Category:Comma]]
-[[Category:Theory]]
-[[Category:Stub]]
 [[Category:Todo:expand]]