Hypercubic billiard word: Difference between revisions
Removed redirect to Rank-3 scale theorems#Definition: Billiard scale Tag: Removed redirect |
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We say that ''w'' is a '''billiard scale''' if any line in generic position of the form (''a''<sub>1</sub>, ..., ''a''<sub>''r''</sub>)''t'' + ''v''<sub>0</sub> has intersections with coordinate level planes ''x''<sub>''i''</sub> = ''k'' ∈ '''Z''' that spell out the scale as you move in the positive ''t'' direction along that line. | We say that ''w'' is a '''billiard scale''' if any line in generic position of the form (''a''<sub>1</sub>, ..., ''a''<sub>''r''</sub>)''t'' + ''v''<sub>0</sub> has intersections with coordinate level planes ''x''<sub>''i''</sub> = ''k'' ∈ '''Z''' that spell out the scale as you move in the positive ''t'' direction along that line. | ||
[[Category:Theory]][[Category:Billiard scales]] | [[Category:Theory]] | ||
[[Category:Billiard scales]] | |||
[[Category:Scale]] | |||