There are four symbols discussed here—an indeterminate numerical quantity , infinity , complex infinity , and directed infinity in the complex plane . They are defined as follows:
Indeterminate is a symbol that represents a numerical quantity whose magnitude cannot be determined. In particular, arbitrary functions with any argument being also becomes : .
is a symbol that represents a positive infinite quantity.
∞~ represents an infinite numerical quantity whose direction in the complex plane is unknown (undetermined).
represents an infinite numerical quantity that is a positive real multiple of the complex number .