A two-dimensional boundary is a line that separates two regions or areas on a plane. For example, the boundary of a circle is the circumference, and the boundary of a square is the four sides. A two-dimensional boundary can also be defined as the set of points where a function changes its value or sign. For example, the boundary of the region where f(x,y) > 0 is the curve where f(x,y) = 0.

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