# mob

From elliptic v1.4-0
by Robin K S Hankin

##### Moebius transformations

Moebius transformations

- Keywords
- math

##### Usage

```
mob(M, x)
M %mob% x
```

##### Arguments

- M
2-by-2 matrix of integers

- x
vector of values to be transformed

##### Value

Returns a value with the same attributes as `x`

. Elementwise, if

$$M=\left(\begin{array}{cc}a&b\\c&d\end{array}\right)$$

then `mob(M,x)`

is \(\frac{ax+b}{cx+d}\).

##### Note

This function does not check for `M`

being having integer
elements, nor for the determinant being unity.

##### References

Wikipedia contributors, "Mobius transformation," Wikipedia, The Free Encyclopedia (accessed February 13, 2011).

##### See Also

##### Examples

```
# NOT RUN {
M <- matrix(c(11,6,9,5),2,2)
x <- seq(from=1+1i,to=10-2i,len=6)
M %mob% x
plot(mob(M,x))
# }
```

*Documentation reproduced from package elliptic, version 1.4-0, License: GPL-2*

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