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  basic step being Gauss--Kronrod quadrature.
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  basic step being Gauss--Kronrod quadrature.
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  \code{rel.tol} cannot be less than \code{max(50*.Machine$double.eps,
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  \code{rel.tol} cannot be less than \code{max(50*.Machine$double.eps,
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    0.5e-28)} if \code{abs.tol <= 0}.
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    0.5e-28)} if \code{abs.tol <= 0}.
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  Note that the comments in the C source code in
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  \file{<R>/src/appl/integrate.c} give more details, particularly about
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  reasons for failure (internal error code \code{ier >= 1}).
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  In \R versions \eqn{\le}{<=} 3.2.x, the first entries of
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  In \R versions \eqn{\le}{<=} 3.2.x, the first entries of
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  \code{lower} and \code{upper} were used whereas an error is signalled
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  \code{lower} and \code{upper} were used whereas an error is signalled
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  now if they are not of length one.
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  now if they are not of length one.
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}
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}
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\note{
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\note{