spatstat.geom: hotrod – R documentation

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hotrod

Heat Kernel for a One-Dimensional Rod

Description

Calculate values of the heat kernel on a one-dimensional rod. The ends of the rod may be assumed to be insulated, or absorbing.

Usage

hotrod(len, xsource, xquery, sigma, ends=c("insulated", "absorbing"), nmax=20)

Arguments

`len`	Length of the rod. A single number or numeric vector.
`xsource`	Positions of the source points, from the left end of the rod (in the same distance units as `len`). A single number or numeric vector.
`xquery`	Positions of the query points, from the left end of the rod (in the same distance units as `len`). A single number or numeric vector.
`sigma`	Bandwidth for kernel. A single number or a numeric vector.
`ends`	Character string (partially matched) specifying whether the ends of the rod are assumed to be insulated or absorbing.
`nmax`	Number of terms in the infinite sum to use. A single integer or an integer vector.

Details

Computes the heat kernel as an infinite sum.

Value

Number or numeric vector.

Author(s)

Greg McSwiggan and Adrian Baddeley Adrian.Baddeley@curtin.edu.au.

Examples

curve(hotrod(1, 0.1, x, 0.7))

  # check it's a probability density
  f <- function(x) hotrod(1, 0.1, x, 0.7)
  integrate(f, 0, 1)

  ## absorbing ends
  curve(hotrod(1, 0.1, x, 0.7, ends="a"))

spatstat.geom

Geometrical Functionality of the 'spatstat' Family

v2.1-0

GPL (>= 2)

Authors

Adrian Baddeley [aut, cre], Rolf Turner [aut], Ege Rubak [aut], Tilman Davies [ctb], Ute Hahn [ctb], Abdollah Jalilian [ctb], Sebastian Meyer [ctb], Suman Rakshit [ctb], Dominic Schuhmacher [ctb], Rasmus Waagepetersen [ctb]

Initial release

2021-04-15