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Moist-air norms and inner-products are currently used in atmospheric sciencefor computing dry or moist singular vectors and for determining forecast errorsor sensitivity to observations based on tangent linear and adjoint models. Anew moist-air norm is defined starting from old results published in Marquet(QJRMS 1993) and based on the "Available Enthalpy" approach, namely one of theExergy function defined in general thermodynamics. Some interesting andpromising impacts of this new "Available Enthalpy" norm are described in thisbrief version of a paper to be submitted to the QJRMS.

A moist "available enthalpy" norm: definition and comparison with existing "energy" norms