Difference between revisions of "Abs"
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= Complex numbers = | = Complex numbers = | ||
| − | A complex number can be written in standard (cartesian) form as <math>a + b j<math>, or in polar form as <math>r e^{\theta j}</math>. Given a complex number, x, <code>[[Abs]](x)</code> gives ''r'', the magnitude from the polar form. The <math>\theta</math> is given by either [[ComplexRadians]] (or [[ComplexDegrees]]). | + | A complex number can be written in standard (cartesian) form as <math>a + b j</math>, or in polar form as <math>r e^{\theta j}</math>. Given a complex number, x, <code>[[Abs]](x)</code> gives ''r'', the magnitude from the polar form. The <math>\theta</math> is given by either [[ComplexRadians]] (or [[ComplexDegrees]]). |
= Examples = | = Examples = | ||
Revision as of 17:55, 11 April 2013
The absolute value of a number, or the magnitude of a complex number.
For a non-negative real number, Abs(x) returns x.
For a negative real number, Abs(x) returns -x.
For a complex number, a + bj, Abs(x) returns the magnitude, equal to [math]\displaystyle{ \sqrt(a^2+b^2) }[/math].
Complex numbers
A complex number can be written in standard (cartesian) form as [math]\displaystyle{ a + b j }[/math], or in polar form as [math]\displaystyle{ r e^{\theta j} }[/math]. Given a complex number, x, Abs(x) gives r, the magnitude from the polar form. The [math]\displaystyle{ \theta }[/math] is given by either ComplexRadians (or ComplexDegrees).
Examples
See Also
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