inversive

This property gives rise to the alternate name inversive plane.

A natural setting for problem of Apollonius is inversive geometry.

Inversive activities are processes which self internalise the action concerned.

Inversive planes that arise in this way are said to be egglike.

Other inversive solutions to the planar problem are possible besides the common ones described below.

Thus the conformally flat models are the spaces of inversive geometry.

For example a person who has an Inversive personality internalises his emotions from any exterior source.

Finally, and this is the essential theorem of inversive geometry, circles remain circular.

This adds, e.g., inversive reflections such as circle reflection on the plane.

In an inversive moment, he then reverses their order by printing the foils onto the canvas.

The parabola is an inversive geometry of a cardioid.

The finite inversive planes are precisely the designs.

They brought the methods of inversive geometry into electromagnetic theory with their transformations:

Thus my twelve eggs have inversive symmetry.

Inversive plane geometry is formulated on the plane extended by one point at infinity.

Thus inversive geometry, a larger study than grade school transformation geometry, is usually reserved for college students.

' According to inversive geometry this point interchanges with 'the point at infinity'.

From this perspective, the transformation properties of flat conformal space are those of inversive geometry.

All known inversive planes are egglike.

The result below shows that these sequences are closely related to the following inversive congruential sequence with prime moduli.

Inversive geometry also includes the conjugation mapping.

The standard formula for an inversive congruential generator, modulo some prime q is:

See also inversive geometry.

Yaglom also covers the inversive Minkowski plane.

Inversive sequences extensively tested with variety of statistical tests remain stable under the variation of parameter.