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The curlicue fractal is a figure obtained by the following procedure. Let s be an irrational number. Begin with a line segment of unit length, which makes an angle phi_0=0 to ...
The dimension of an object is a topological measure of the size of its covering properties. Roughly speaking, it is the number of coordinates needed to specify a point on the ...
A discontinuity is point at which a mathematical object is discontinuous. The left figure above illustrates a discontinuity in a one-variable function while the right figure ...
The absolute moment of M_n of a probability function P(x) taken about a point a is defined by M_n=int|x-a|^nP(x)dx.
The strophoid of a circle with pole at the center and fixed point on the circumference is a Freeth's nephroid.
Any linear system of point-groups on a curve with only ordinary singularities may be cut by adjoint curves.
A stable fixed point of a map which, in a dissipative dynamical system, is an attractor.
For a parabola oriented vertically and opening upwards, the vertex is the point where the curve reaches a minimum.
A point at which three or more polyhedron edges of a polyhedron meet. The concept can also be generalized to a polytope.
The catacaustic of the quadrifolium with arbitrary radiant point is a complicated function. A few example are illustrated above.
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