1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
|
% $Id: magic.Rd 25 2022-05-30 18:46:01Z proebuck $
\name{magic}
\alias{magic}
\title{MATLAB magic function}
\description{
Create a magic square.
}
\usage{
magic(n)
}
\arguments{
\item{n}{numeric scalar specifying dimensions for the result}
}
\details{
The value of the characteristic sum for a magic square of order \code{n} is
\eqn{sum(1:n^2)/n}. The order \code{n} must be a scalar greater than or
equal to 3; otherwise, the result will be either a nonmagic square, or
else the degenerate magic squares 1 and [].
}
\value{
Returns an \code{n}-by-\code{n} matrix constructed from
the integers \code{1} through \eqn{N^2} with equal row and column sums.
}
\note{
A magic square, scaled by its magic sum, is doubly stochastic.
}
\author{
P. Roebuck \email{proebuck1701@gmail.com}
}
\seealso{
\code{\link{ones}},
\code{\link{zeros}}
}
\examples{
magic(3)
}
\keyword{array}
|
