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Directed infinity : ウィキペディア英語版
Directed infinity
A directed infinity is a type of infinity in the complex plane that has a defined angle ''θ'' but an infinite absolute value ''r''. For example, the limit of 1/''x'' where ''x'' is a positive number approaching zero is a directed infinity with angle 0; however, 1/0 is not a directed infinity, but a complex infinity. Some rules for manipulation of directed infinities are:
*w\infty + z\infty = (w+z)\infty
*z\infty = \frac\infty.
*0\infty\text\frac
*a z\infty = \begin z\infty & \texta > 0, \\ -z\infty & \texta < 0. \end
*w\infty z\infty = (w z)\infty
== See also ==

*Point at infinity

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Directed infinity」の詳細全文を読む



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