Search Results for ""

Any link can be represented by a closed braid.

If f is continuous on a closed interval [a,b], then there is at least one number x^* in [a,b] such that int_a^bf(x)dx=f(x^*)(b-a). The average value of the function (f^_) on ...

A curve created by starting with a circle, dividing it into six arcs, and flipping three alternating arcs. The process is then repeated an infinite number of times.

The principal normal indicatrix of a closed space curve with nonvanishing curvature bisects the area of the unit sphere if it is embedded.

The quantities obtained from cubic, hexagonal, etc., lattice sums, evaluated at s=1, are called Madelung constants. For cubic lattice sums ...

The sequence generated by repeated application of a map. The map is said to have a closed orbit if it has a finite number of elements.

Two (or more) intersecting curves that are perpendicular at their intersection are said to be orthogonal.

A tangent point of two similar curves.

A curve which intersects some straight line in an infinity of points (but for which not every point lies on this curve).

A surface of revolution defined by Kepler. It consists of more than half of a circular arc rotated about an axis passing through the endpoints of the arc. The equations of ...