Definitionsbereich
| Abbildung
| WerteBereich
| Determinante der Jacobimatrix
|
| z |-> z2
| ![](img/complex-square-cod-pol.png)
| ![](img/complex-square-det.png)
|
| (x,y) |-> (sin(x)-cos(y)+1, sin(y)-cos(x)+1)
| ![](img/circle-of-circles-2-cod-cart.png)
| ![](img/circle-of-circles-2-det.png)
|
| (x,y) |-> (sin(x)-cos(y)+1, sin(y)-cos(x)+1)
| ![](img/circle-of-circles-cod-cart.png)
| ![](img/circle-of-circles-det.png)
|
| (r,p) |-> (r cos(p), r sin(p))
| ![](img/polar-coordinates-cod-cart.png)
| ![](img/polar-coordinates-det.png)
|
| (x,y) |-> (x+1/(1+y2)-1, y+1/(1+x2)-1)
| ![](img/1x2-turbolence-cod-cart.png)
| ![](img/1x2-turbolence-det.png)
|
| (x,y) |-> (21/2x+sin(y), y+sin(x))
| ![](img/sin-turbolence-cod-cart.png)
| ![](img/sin-turbolence-det.png)
|
| (x,y) |-> (x+sin(y), y+sin(x))
| ![](img/sin-turbolence-a-cod-cart.png)
| ![](img/sin-turbolence-a-det.png)
|
| (x,y) |-> (x+y x2, y+x y2)
| ![](img/yx2-turbolence-cod-cart.png)
| ![](img/yx2-turbolence-det.png)
|
| (x,y) |-> (x+log(3+2y2), y+log(3+2x2))
| ![](img/log-turbolence1-cod-cart.png)
| ![](img/log-turbolence1-det.png)
|
| (x,y) |-> 1.5(x/2+log(3+y2), y/2+log(5+x2))
| ![](img/log-turbolence2-cod-cart.png)
| ![](img/log-turbolence2-det.png)
|
| (x,y) |-> 2(x/3+log(11+y2), y/3+log(11+x2))
| ![](img/log-turbolence3-cod-cart.png)
| ![](img/log-turbolence3-det.png)
|
| z |-> z - (z3-1)/(3 z2)
| ![](img/third-root-cod-cart.png)
| ![](img/third-root-det.png)
|