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\title{ Inverse isometric log-ratio transformation }
The inverse transformation of \sQuote{ilr()}.
  \item{x.ilr}{ data frame or matrix }
For details on the choice of the balances, please, see at the research report for which the link is given below.
The transformed data.
\references{ Egozcue J.J., V. Pawlowsky-Glahn, G. Mateu-Figueras and
C. Barcel'o-Vidal (2003) Isometric logratio transformations for
compositional data analysis. \emph{Mathematical Geology}, \bold{35}(3)
279-300 \\

Hron, K. and Templ, M. and Filzmoser, P. (2010) Imputation of missing values for compositional data using classical and robust methods 
\emph{Computational Statistics and Data Analysis}, vol 54 (12), pages 3095-3107.  
\author{ Karel Hron }
\seealso{ \code{\link{isomLRinv}}, \code{\link{isomLR}},  \code{\link[compositions]{ilrInv}}  }
## function is deprecated, use isomLRinv instead.
\keyword{ math }
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