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For a simple closed curve, there are only two possibilities.
For the same reason, a single simple closed curve can never evolve to cross itself.
In a simple closed curve, all turning angles are covered.
Let a closed curve be the line along the edge a called .
A periodic motion is a closed curve in phase space.
Then is a simple closed curve in the plane.
These surfaces are generated even if spine is also a closed curve.
In the case of a closed curve it is also called a contour integral.
Let be a simple closed curve whose image is the boundary .
Specifically, a closed curve on a plane is needed.
Let P be a point inside a continuous closed curve in the plane which does not intersect itself.
Gwen smiled slightly, an odd closed curve of the lips.
Let Ω be a region bounded by a simple closed curve.
This self homeomorphism acts on the closed curve along b.
Objects (subgraphs) enclosed by a simple closed curve called a cut.
It can be shown that then the projection of this line is a simple closed curve on a torus.
In this example, the other integral curves are all simple closed curves.
The circulation around a closed curve C is the line integral:
This behavior is sometimes summarized by saying that every simple closed curve shrinks to a "round point".
The track need not be a closed curve; the starting and finishing lines could be different.
The definition is then expanded to arbitrary closed curves.
In geometry, circumference is the distance around a closed curve; for example, a circle.
Three small closed curves underneath, like circles with tails.
The field is defined by the infinitesimal gauge group elements associated with closed curves.
The intersection resembles a figure eight: it is a closed curve which intersects itself.