mob

0th

Percentile

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

unimodular

Aliases
  • mob
  • %mob%
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

Community examples

Looks like there are no examples yet.