## zMap: Features

ZMap is easy to use and all parameters can be either entered
interactively or be predefined via "applet tags".
The "Start" button here will, this time, show how |

Here are a few tips to use the program effectively:

You can change the function by entering the new definition in the toolbar. Most standard mathematical functions such as

and*sin*are available, as are the constants*cos*,**e**, and**Pi**. In addition, the functions**i**and*Re(z)*are available to extract the real or imaginary part of their argument, respectively. Here is a complete list of available functions:*Im(z)*Sine `sin(z)`Cosine `cos(z)`Tangent `tan(z)`Arc Sine `asin(z)`Arc Cosine `acos(z)`Arc Tangent `atan(z)`Hyp. Sine `sinh(z)`Hyp. Cosine `cosh(z)`Hyp. Tangent `tanh(z)`Inv. Hyp. Sine `asinh(z)`Inv. Hyp. Cosine `acosh(z)`Inv. Hyp. Tangent `atanh(z)`Natural Logarithm `ln(z)`Logarithm base 10 `log(z)`Exponential (e^z) `exp(z)`Abs. Value `abs(z)`Square Root `sqrt(z)`Sum `sum(x,y,z)`Real Part `re(z)`Imag. Part `im(z)`Conjugate `conj(z)`Argument/Angle `arg(z)`If `if(cond,trueval,falseval)`The toolbar contains a field to enter your function, four check boxes to determine what type of curves to draw in the domain, and a variety of buttons:

The buttons have the following meaning

start drawing/redrawing cancel current drawing operation

to check off which curves are to be drawn and which ones not shows dialog to define general options shows dialog to define lines shows dialog to define radii, arcs, and circles zoom in/out/undo in the Domain (also available via right-click on domain) zoom in/out/undo in the Range (also available via right-click on range) slider to determine drawing speed to better see which curve is mapped where show online, searchable Help You can

**zoom****in**or**out**by using the*various zoom buttons*on the toolbar or by*right-clicking*on domain or range. Also, if you**right-click**on domain or range you can choose to**pan**right, left, up, or down from the popup menu. To quickly**re-center**domain or range, simply**double-click**on a point. Finally, you can also**zoom in**by*dragging*the mouse over domain or range to select an appropriate rectangle. All zoom and pan operations can be**reversed**by clicking on the appropriate*undo buttons*in the toolbar or by selecting*undo from the right-click menu*in domain or range.You can check how your function maps

**individual points**by holding down the*CTRL*-key while clicking once on the point in the domain you want to map. The point and its image will appear as dots. To remove points, redraw your graph by clicking the blue check icon on the toolbar.