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Argument

From Encyclopedia of Mathematics
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The argument of a function is the variable (also called the independent variable) on which the value of the function depends.

The argument of a complex number $z=x+iy=r(\cos\phi+i\sin\phi)$, represented in the plane by the point with coordinates $x$ and $y$, is the angle $\phi$ of the radius vector $r$ of this point with the $x$-axis.

How to Cite This Entry:
Argument. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Argument&oldid=37218