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% File src/library/base/man/tilde.Rd
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% File src/library/base/man/tilde.Rd
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% Part of the R package, http://www.R-project.org
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% Part of the R package, http://www.R-project.org
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% Copyright 1995-2007 R Core Team
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% Copyright 1995-2013 R Core Team
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% Distributed under GPL 2 or later
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% Distributed under GPL 2 or later
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\name{tilde}
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\name{tilde}
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\alias{~}
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\alias{~}
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\alias{tilde}
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\alias{tilde}
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\title{Tilde Operator}
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\title{Tilde Operator}
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\description{
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\description{
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  Tilde is used to separate the left- and right-hand sides in model formula.
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  Tilde is used to separate the left- and right-hand sides in a model formula.
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}
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}
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\usage{
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\usage{
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y ~ model
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y ~ model
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}
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}
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\arguments{
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\arguments{
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  \item{y, model}{symbolic expressions.}
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  \item{y, model}{symbolic expressions.}
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}
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}
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\details{
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\details{
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  The left-hand side is optional, and one-sided formulae are used in
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  The left-hand side is optional, and one-sided formulae are used in
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  some contexts.
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  some contexts.
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  A formula has \link{mode} \code{\link{call}}.  It can be subsetted by
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  \code{[[}: the components are \code{~}, the left-hand side (if
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  present) and the right-hand side \emph{in that order}.
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}
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}
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\references{
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\references{
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  Chambers, J. M. and Hastie, T. J. (1992)
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  Chambers, J. M. and Hastie, T. J. (1992)
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  \emph{Statistical models.}
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  \emph{Statistical models.}
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  Chapter 2 of \emph{Statistical Models in S}
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  Chapter 2 of \emph{Statistical Models in S}
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  eds J. M. Chambers and T. J. Hastie, Wadsworth & Brooks/Cole.
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  eds J. M. Chambers and T. J. Hastie, Wadsworth & Brooks/Cole.
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}
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}
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\seealso{
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\seealso{\code{\link{formula}}}
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  \code{\link{formula}}
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}
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\keyword{models}
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\keyword{models}