What Does Non Integral Mean in Understanding Concepts?

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The term "non integral" refers to values that are not whole numbers, which is significant in the context of curvature functions for certain transcendental curves. In this discussion, a specific curvature function is analyzed, indicating that it is always non integral. This characteristic leads to the conclusion that the associated Coxeter group generated by reflections has a unique fixed point, specifically the center of mass of the curve. Understanding the implications of non integral values is crucial for grasping the behavior of such curves and their geometric properties. The discussion emphasizes the importance of this concept in mathematical analysis and group theory.
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what does it mean "non integral"
 
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In what context??
 
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)
 
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)
I believe that it means " not an integer " .
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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