asc2s | R Documentation |

`asc2s()`

function calculates the boundary coordinates for the anisotropic set cover on the 2D square lattice with a fixed edge along the lattice boundary.

asc2s(k=12, x=rep(95, times=2), dir=2, r=(x[dir]-3)^(seq(k)/k))

`k` |
a maximal set cover size: |

`x` |
a vector of lattice sizes: |

`dir` |
a variable component index: x) |

`r` |
a variable lenght of set cover elements: |

The percolation is simulated on 2D square lattice with uniformly weighted sites and the constant parameter `p`

.

The percolation cluster is formed from the accessible sites connected with initial sites subset.

If an initial cluster subset in the lattice center, to estimate the mass fractal dimension requires an anisotropic set cover with a fixed edge along the lattice boundary.

The anisotropic set cover on 2D square lattice is formed from scalable rectangles with a variable length `r+1`

and a fixed edge along the lattice boundary.

A list of boundary coordinates and sizes for the anisotropic set cover on a 2D square lattice with a fixed edge along the lattice boundary.

Pavel V. Moskalev

fdc3s, fds2s, fds3s

# # # # # # # # # # # # # # # # # # Example: Anisotropic set cover, dir=2 # # # # # # # # # # # # # # # # # pc <- .592746 p2 <- pc + .03 lx <- 33; ss <- (lx+1)/2; ssy <- seq(lx+2, 2*lx-1) set.seed(20120627); ac2 <- ssi20(x=lx, p=p2, set=ssy, all=FALSE) bnd <- asc2s(k=9, x=dim(ac2), dir=2) x <- y <- seq(lx) image(x, y, ac2, cex.main=1, main=paste("Anisotropic set cover and a 2D cluster of\n", "sites with (1,0)-neighborhood and p=", round(p2, digits=3), sep="")) rect(bnd["x1",], bnd["y1",], bnd["x2",], bnd["y2",]) abline(v=ss, lty=2)

SECP documentation built on May 11, 2022, 9:05 a.m.

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.