In the field of the quantification of designing elements, (McGarva and Mullineux, 1993) made a research on the closed planar curve that expressed by the Fourier coefficient and proposed the theoretical method that using harmonic wave to represent the closed curve
to make quantitative analysis on the design.
The eight closed curve
in s-v phase diagram and eight separate points in Poincaree section show that the response of pipe wall is the 8T periodic motion.
However every figure must have at least one borderline closed curve
, and every figure must be a joint piece, yet can't separate it into at least two unconnected parts.
lies in a region defined by the intersection of two circles, a plane closed curve
, and the half plane on the right of a vertical line.
Let [gamma] be a closed curve
of length 2[pi]r: If x : g [right arrow] [R.
In his mathematical project, Pardon proved that a closed curve
can be made convex without permitting any two points on the curve to get closer to one another.
Let us prove by contradiction that there is at most one closed curve
contained in [C.
Suppose that the template is a closed curve
and always non-self intersecting.
If the product of H(j[omega])G(j[omega]) is mapped in a complex plane, a closed curve
The first step is to observe that although the value of the vector potential at a given point of physical space is not gauge-invariant (since in general A([Xi]) [not equal to] A([Xi]) + grad [Lambda]([Xi])), the integral of A around a closed curve
Students may also discover that the path can create a closed curve
In [A14] he showed that if IF is a rectifiable simple closed curve
, then [gamma] \ [gamma] has at most one global branch, and [gamma] \ [gamma] has finite area.
infinity]] is the closed curve
(called the Szego curve) in the unit disk which is given by
The primitive notions are: closed curve
(sets), rectangles (universe), shading (if a set is empty the whole area that represents it is shaded), writing an x (if a set is non-empty, an x is written in its representing area), drawing lines (if a set is represented by more than one area, we draw an x in each of them and connect the x's by lines).
In the drum's case, the solutions specify the vertical displacement of each point on a surface bounded by a closed curve
, such as a circle or rectangle.