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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  .
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