# dist1

From condvis v0.5-1
by Mark O'Connell

##### Minkowski distance

Calculate Minkowski distance between one point and a set of other points.

##### Usage

`dist1(x, X, p = 2, inf = FALSE)`

##### Arguments

- x
A numeric vector describing point coordinates.

- X
A numeric matrix describing coordinates for several points.

- p
The power in Minkowski distance, defaults to 2 for Euclidean distance.

- inf
Logical; switch for calculating maximum norm distance (sometimes known as Chebychev distance) which is the limit of Minkowski distance as \(p\) tends to infinity.

##### Value

A numeric vector. These are distance^p, for speed of computation.

##### See Also

##### Examples

```
# NOT RUN {
x <- runif(5000)
y <- runif(5000)
x1 <- 0.5
y1 <- 0.5
dev.new(width = 4, height = 5.3)
par(mfrow = c(2, 2))
for(p in c(0.5, 1, 2, 10)){
d <- dist1(x = c(x1, y1), X = cbind(x, y), p = p) ^ (1/p)
col <- rep("black", length(x))
col[d < 0.3] <- "red"
plot(x, y, pch = 16, col = col, asp = 1, main = paste("p = ", p, sep = ""))
}
# }
```

*Documentation reproduced from package condvis, version 0.5-1, License: GPL (>= 2)*

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