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The path, to be definite, is directed by some closed plane curve (the directrix), along which the line always glides.
One example would be the isoperimetric problem: determine the shape of the closed plane curve having a given length and enclosing the maximum area.
Isoperimetric problem, in mathematics, the determination of the shape of the closed plane curve having a given length and enclosing the maximum area.
The Plateau problem is related to the isoperimetric problem, dating to ancient Greece, which concerns finding the shape of the closed plane curve having a given length and enclosing the maximum area.
Being triangular (being a closed plane figure with three straight sides) and being trilateral (being a closed plane figure with three inner angles) are logically co-extensive properties.
The design variables are ply orientations and coordinates of interpolation points which define a closed plane spline curve.
Similar(54)
Then there exists such that for all, the points belong to the same closed half-plane or.
A closed-form plane strain solution is presented for stresses and displacements around tunnels based on the complex potential functions and conformal mapping representation.
The change in crystallinity results from the content of incorporated oxygen, which significantly affects the electrical and optical properties of ITO films and causes a rearrangement of atoms to form preferred closed-packed plane orientation.
Using these results, we establish graph-theoretic conditions under which there are zeros in the closed right-half plane.
The proposed controller has failsafe properties in the sense that if a sensor or actuator fails, the closed-loop eigenvalues remain in the closed left-half plane.
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