Difference between revisions of "ComplexRadians"

Latest revision as of 02:25, 19 January 2016

ComplexRadians(x)

Returns the phase of complex number «x» in radians.

A complex number can be written in polar form as [math]\displaystyle{ r e^{\theta j} }[/math]. Given a complex number, «x», ComplexRadians returns [math]\displaystyle{ \theta }[/math], the result being expressed in radians in the range of [math]\displaystyle{ [-\pi,\pi) }[/math].

Examples

ComplexRadians(5 + 5j) → 0.7854 {This is [math]\displaystyle{ \pi/4 }[/math]}

ComplexRadians(1j) → 1.571 {This is [math]\displaystyle{ \pi/2 }[/math]}

ComplexRadians(-1j) → -1.571

ComplexRadians(-2) → -3.142

ComplexRadians(.1) → 0

History

This function was introduced in Analytica 4.5.

@@ Line 1: / Line 1: @@
 [[Category:Math Functions]]
 [[category:Functions that operate on complex numbers]]
-''New in [[Analytica 4.5]]''
-Returns the phase of a [[Complex Numbers|complex number]] in radians.
+==ComplexRadians(x)==
+Returns the phase of [[Complex Numbers|complex number]] «x» in radians.
-A complex number can be written in polar form as <math>r e^{\theta j}</math>.  Given a complex number, x, <code>ComplexRadians</code> returns <math>\theta</math>, the result being expressed in radians in the range of <math>[-\pi,\pi)</math>.
+A complex number can be written in polar form as <math>r e^{\theta j}</math>.  Given a complex number, «x», <code>ComplexRadians</code> returns <math>\theta</math>, the result being expressed in radians in the range of <math>[-\pi,\pi)</math>.
-= Examples =
+== Examples ==
+:<code>ComplexRadians(5 + 5j) &rarr; 0.7854            {This is <math>\pi/4</math>} </code>
+:<code>ComplexRadians(1j) &rarr; 1.571            {This is <math>\pi/2</math>} </code>
+:<code>ComplexRadians(-1j) &rarr; -1.571 </code>
+:<code>ComplexRadians(-2) &rarr; -3.142 </code>
+:<code>ComplexRadians(.1) &rarr; 0 </code>
-:<code>ComplexRadians(5+5j)</code> &rarr; 0.7854            ''{This is <math>\pi/4</math>}''
+==History==
-:<code>ComplexRadians(1j)</code> &rarr; 1.571            ''{This is <math>\pi/2</math>}''
+This function was introduced in [[Analytica 4.5]].
-:<code>ComplexRadians(-1j)</code> &rarr; -1.571
-:<code>ComplexRadians(-2)</code> &rarr; -3.142
-:<code>ComplexRadians(.1)</code> &rarr; 0
-= See Also =
+== See Also ==
 * [[ComplexDegrees]]
 * [[Complex Numbers]]
 * [[Abs]]  -- for the magnitude, ''r''
-* [[Degrees]], [[Radians]]
+* [[Degrees]]
+* [[Radians]]