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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _replace_with_new_dims( # type: ignore self: T, variables: 'OrderedDict[Any, Variable]' = None, coord_names: set = None, attrs: 'Optional[OrderedDict]' = __default, indexes: 'Optional[OrderedDict[Any, pd.Index]]' = __default, inplace: bool = False, ) -> T: """Replace variables with recalculated dimensions."""

        dims = dict(calculate_dimensions(variables))
        return self._replace(
            variables, coord_names, dims, attrs, indexes, inplace=inplace)