burak100
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what does it mean "non integral"
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The discussion revolves around the meaning of the term "non integral" in the context of a curvature function related to a transcendental curve and its implications for a Coxeter group generated by reflections. The scope includes mathematical reasoning and conceptual clarification regarding the properties of curvature functions.
Participants have not reached a consensus on the precise meaning of "non integral," and multiple interpretations are suggested, particularly regarding its implications in the context of curvature and Coxeter groups.
The discussion does not clarify the specific mathematical definitions or assumptions underlying the term "non integral," nor does it resolve the implications of this term in relation to the curvature function and the properties of the Coxeter group.
I believe that it means " not an integer " .burak100 said:Actually I have a function of curvature for some transcendental curve. and this curve considered as a coxeter group generated by the reflections about the normal lines through two adjacent extrema of the curvature function.
and it says that since this function of curvature is always non integral , this group has precisely one fix point (he center of mass of that curve)