`lnq.Rd`

Calculates the deformed logarithm of order \(q\).

lnq(x, q) lnq.CommunityProfile(Profile)

x | A numeric vector. |
---|---|

Profile | |

q | A number. |

The deformed logarithm is defined as \(\ln_q{x}=\frac{(x^{(1-q)}-1)}{(1-q)}\).

The shape of the deformed logarithm is similar to that of the regular one. \(\ln_1{x}=\log{x}\).

For \(q>1\), \(\ln_q{(+\infty)}=\frac{1}{(q-1)}\).

`lnq.CommunityProfile`

calculates the deformed logarithm of a `CommunityProfile`

. Its `$x`

item (the order of dversity) is kept unchanged whilst other items are set to their logarithm of order `$x`

. Thus, a diversity profile is transformed into an entropy profile.

A vector of the same length as `x`

containing the transformed values or a `CommunityProfile`

.

Tsallis, C. (1994). What are the numbers that experiments provide? *Quimica Nova* 17(6): 468-471.

Eric Marcon <Eric.Marcon@ecofog.gf>