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A point whose complement has more than one continuum component is known as a weak cut point; so a point is a weak cut point if and only if it lies properly between two other points in the K-interpretation of betweenness.
By the RMD method, the height of a midpoint between two other points is given by: {h_{new} = frac{1}{2}left(h_{left}+h_{right}right)+h_{random}} (2).
The two interpretations do agree in a locally connected (mathsf T _1) space; regardless of agreement, though, a point (cin X) is a cut point of (X) if and only if (c) lies properly between two other points in either the C- or the Q-interpretation.
Let (X) be a connected topological space, and define the ternary relation ([a,c,b]_C) to hold for (a,b,cin X) just in case either (cin {a,b}) or (a) and (b) lie in different components of (X{setminus }{c}.) This is the C-interpretation of betweenness in a connected topological space; a point of (X) is a cut point if and only if it lies properly between two other points in the C-interpretation.
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The narration takes place in the round: chapters alternate between Edie's perspective and eight other points of view, mainly those of family members, whose personal histories and narratives unfold alongside Edie's own.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com