Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site ContributeEmail CommentsSign the Guestbook

View Related Information In
The Documentation Center
MathWorld

Download All Formulas For This Function
Mathematica Notebook
PDF File

 

Developed with Mathematica -- Download a Free Trial Version
 











variants of this functions
Log






Mathematica Notation

Traditional Notation









Elementary Functions > Log[z] > Visualizations





2D plots along the axes and unit circle

On the real axis

The function along the real axis. is real‐valued in for . At , the function has a logarithmic singularity.

The function along the real axis. The left graphic shows and the right graphic shows .

The absolute value and the argument of along the real axis. The left graphic shows and the right graphic shows . The argument is piecewise constant for .

On the real axis at infinity

The function along the real axis. The left graphic shows and the right graphic shows . The imaginary part is piecewise constant on the real axis. At , the function has a logarithmic singularity.

The absolute value and the argument of along the imaginary axis. The left graphic shows and the right graphic shows . The argument is piecewise constant for .

On the imaginary axes

The real part and the imaginary part of along the imaginary axis. The left graphic shows and the right graphic shows . Along the imaginary axis, the imaginary part is piecewise constant.

The absolute value and the argument of along the imaginary axis. The left graphic shows and the right graphic shows .

On the imaginary axis at infinity

The function along the imaginary axis. The left graphic shows and the right graphic shows .

The absolute value and the argument of along the imaginary axis. The left graphic shows and the right graphic shows .

On the unit circle

The real part and the imaginary part of on the unit circle. The left graphic shows and the right graphic shows .

The absolute value and the argument of on the unit circle. The left graphic shows and the right graphic shows .





© 1998- Wolfram Research, Inc.