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\name{seq}\title{Sequence Generation}\alias{seq}\alias{seq.default}\alias{:}\description{Generate regular sequences.}\synopsis{seq(...)seq.default(from = 1, to = 1, by = ((to - from)/(length.out - 1)),length.out = NULL, along.with = NULL, ...)}\usage{from:toa:bseq(from, to)seq(from, to, by=)seq(from, to, length=)seq(along=)seq(from)}\arguments{\item{from}{starting value of sequence.}\item{to}{(maximal) end value of the sequence.}\item{by}{increment of the sequence.}\item{length}{desired length of the sequence.}\item{along}{take the length from the length of this argument.}\item{a,b}{\code{\link{factor}}s of same length.}}\details{The binary operator \code{:} has two meanings: for factors \code{a:b} isequivalent to \code{\link{interaction}(a, b)} (except for labelling by\code{la:lb} not \code{la.lb}). For numeric arguments \code{a:b} isequivalent to \code{seq(from=a, to=b)}.The interpretation of the unnamed arguments of \code{seq} is\emph{not} standard, and it is recommended always to name thearguments when programming.Function \code{seq} is generic, and only the default method isdescribed here.The operator \code{:} and the \code{seq(from, to)} form generate thesequence \code{from, from+1, \dots, to}.The second form generates \code{from, from+by}, \ldots, up to thesequence value less than or equal to \code{to}.The third generates a sequence of \code{length} equally spaced valuesfrom \code{from} to \code{to}.The fourth form generates the sequence \code{1, 2, \dots, length(along)}.The last generates the sequence \code{1, 2, \dots, length(from)}(as if argument \code{along} had been specified),\emph{unless} the argument is numeric of length 1 when it isinterpreted as \code{1:from} (even for \code{seq(0)} forcompatibility with S).If \code{from} and \code{to} are factors of the same length, then\code{from : to} returns the \dQuote{cross} of the two.Very small sequences (with \code{from - to} of the order of \eqn{10^{-14}}times the larger of the ends) will return \code{from}.}\value{The result is of \code{mode} \code{"integer"} if \code{from} is(numerically equal to an) integer and \code{by} is not specified.}\references{Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988)\emph{The New S Language}.Wadsworth \& Brooks/Cole.}\seealso{The method \code{\link{seq.POSIXt}}.\code{\link{rep}},\code{\link{sequence}},\code{\link{row}},\code{\link{col}}.As an alternative to using \code{:} for factors, \code{\link{interaction}}.}\examples{1:4pi:6 # float6:pi # integerseq(0,1, length=11)seq(rnorm(20))seq(1,9, by = 2) # matchseq(1,9, by = pi)# stay belowseq(1,6, by = 3)seq(1.575, 5.125, by=0.05)seq(17) # same as 1:17for (x in list(NULL, letters[1:6], list(1,pi)))cat("x=",deparse(x),"; seq(along = x):",seq(along = x),"\n")f1 <- gl(2,3); f1f2 <- gl(3,2); f2f1:f2 # a factor, the "cross" f1 x f2}\keyword{manip}