What is the mathematical term for a twodimensional closed curve
having the shape of an elongated circle?
The paper, through the eye-movement experiment, obtains characteristics that influence product style, utilizes shape grammar to extract the contour of feature elements and transforms it to two-dimensional closed curve
, then makes similarity analysis on different feature elements via Fourier decomposition.
The s-v phase diagram is made up of many closed curve
and the Poincare section consists of a large number of points lying on a closed curve
Which, in order to analysis cyclic phenomena, must be a closed curve
hence a circular component.
In addition to the modified Moore curve, another closed curve
for defected ground structure is also proposed.
Reference  solves the conformal map from a closed curve
to a circle.
Plainly a borderline closed curve
of the figure which has the hole surrounds inwardly all figures except the figure itself and figures which its other borderline closed curves
surround inwardly respectively; yet the borderline closed curve
surrounds outwardly the figure and those figures which the other borderline closed curves
surround inwardly respectively, therefore we need merely to prove all figures at a planar map from any spherical map, to wit O.
However, since contour always has the form of closed curve
, we present curve distance as a better inherent feature for the contour.
The equations are generated by a complex vector field that is elliptic everywhere except along a simple closed curve
, explains Meziani (mathematics, Florida International U.
x'[member of][GAMMA]]d(x,x') between a point x and the closed curve
[GAMMA], here d(x,x') is the usual Euclidean distance in [R.
Now it's true that a parabola is an ellipse with it foci an infinite distance apart, so if we consider the parabola a closed curve
at infinity it is a closed curve
, but I doubt if many mathematicians would think it topologically equivalent to a closed curve
The plainness of the procedure reveals what might be needed for a closed curve
to split like the circle or the lemniscate.