Search Results for ""

For a unit circle with parametric equations x = cost (1) y = sint, (2) the negative pedal curve with respect to the pedal point (r,0) is x_n = (r-cost)/(rcost-1) (3) y_n = ...

The strophoid of a circle with pole at the center and fixed point on the circumference is a Freeth's nephroid.

A family of subsets of a topological space such that every point has a neighborhood that intersects only one of them.

A topological space in which every point has a countable neighborhood system base for its neighborhood system.

Any linear system of point-groups on a curve with only ordinary singularities may be cut by adjoint curves.

A family of subsets of a topological space such that every point has a neighborhood which intersects only a finite number of them.

A space X is locally pathwise-connected if for every neighborhood around every point in X, there is a smaller, pathwise-connected neighborhood.

A stable fixed point of a map which, in a dissipative dynamical system, is an attractor.

A topological space X has a one-point compactification if and only if it is locally compact. To see a part of this, assume Y is compact, y in Y, X=Y\{y} and x in X. Let C be ...

For a parabola oriented vertically and opening upwards, the vertex is the point where the curve reaches a minimum.