minkowski

Syntax

minkowski(X, Y, p, [weights])

Details

Compute the Minkowski distance between two one-dimensional numeric vectors (X and Y). The distance is defined as follows:

Parameters

X: A one-dimensional numeric vector.

Y: A one-dimensional numeric vector.

p: An integer scalar with p ≥ 1, used to specify the type of distance:

p = 1: Manhattan distance
p = 2: Euclidean distance

weights (optional): A one-dimensional non-negative numeric vector specifying the weights of each element in X and Y. The default value of each element is 1.

Note:

X, Y, and weights must have the same length.

Returns

A scalar of type DOUBLE.

Examples

Assume two one-dimensional vectors:

X = [1, 2]
Y = [4, 6]

When p = 1, compute the Manhattan distance:
```
minkowski(X,Y,p) 
// Output: 7
```

When p = 2, compute the Euclidean distance:
```
minkowski(X,Y,p)  
// Output：5
```