Description Usage Arguments Details Value Author(s) Examples

The functions compute the generalized logarithm, which is more or less identical to the area hyperbolic sine, and their inverse; see details.

1 2 3 4 5 6 |

`x` |
a numeric or complex vector. |

`base` |
a positive or a positive or complex number: the base with respect to which logarithms are computed. Defaults to e=exp(1). |

The function computes

*log(x + sqrt(x^2 + 1)) - log(2)*

where the first part corresponds to the area hyperbolic sine. Subtracting log(2) makes the function asymptotically identical to the logarithm.

A vector of the same length as x containing the transformed values.

Matthias Kohl [email protected]

1 2 3 4 5 6 7 8 9 10 11 12 | ```
curve(log, from = -3, to = 5)
curve(glog, from = -3, to = 5, add = TRUE, col = "orange")
legend("topleft", fill = c("black", "orange"), legend = c("log", "glog"))
curve(log10(x), from = -3, to = 5)
curve(glog10(x), from = -3, to = 5, add = TRUE, col = "orange")
legend("topleft", fill = c("black", "orange"), legend = c("log10", "glog10"))
inv.glog(glog(10))
inv.glog(glog(10, base = 3), base = 3)
inv.glog10(glog10(10))
inv.glog2(glog2(10))
``` |

stamats/MKmisc documentation built on Dec. 14, 2018, 6:54 a.m.

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