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What's a simple path?
What's a simple path? ตอบหน่อย อย่าให้คอย นานนะ สหายเอ๋ย ขอพูดคุย กันบ้าง อย่าละเลย ไยเพื่อนเฉย ชังข้าฯ หรืออย่างไร |
In geometry, a simple path is a simple curve, namely, a continuous injective function from an interval in the set of real numbers R to R^n or more generally to a metric space or a topological space. In graph theory a simple path is a path in a graph which does not have repeating vertices. See path (graph theory). |
In mathematics,
a path in a topological space X is a continuous function f from the unit interval I = [0,1] to X f : I → X. The initial point of the path is f(0) and the terminal point is f(1). One often speaks of a "path from x to y" where x and y are the initial and terminal points of the path. Note that a path is not just a subset of X which "looks like" a curve, it also includes a parameterization. |
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