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The extended complex plane is the name given to the complex plane with a point at infinity attached: C union {infty^~}, where infty^~ denotes complex infinity. It is also ...

A quantity x>0, which may be written with an explicit plus sign for emphasis, +x.

A circle-preserving transformation composed of an odd number of inversions.

An immediate consequence of a result already proved. Corollaries usually state more complicated theorems in a language simpler to use and apply.

If an infinite number of points in the plane are all separated by integer distances, then all the points lie on a straight line.

A multivariate polynomial (i.e., a polynomial in more than one variable) with all terms having the same degree. For example, x^3+xyz+y^2z+z^3 is a homogeneous polynomial of ...

Oriented in position perpendicular to up-down, and therefore parallel to a flat surface.

A type of point at infinity in which parallel lines in the hyperbolic plane intersect at infinity in one direction, while diverging from one another in the other.

An algebra S^' which is part of a large algebra S and shares its properties.

Ball point picking is the selection of points randomly placed inside a ball. n random points can be picked in a unit ball in the Wolfram Language using the function ...