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A more intuitive sufficient condition is given for the concentration cancellation phenomena in 2- or 3-D incompressible fluid flows; that is,if the projection of concentration set of the weak-star defect measure associated with the approximate solution sequence onto space Rxn(n=2,3) is a set with Hausdorff dimension less than 1,then the weak L2 limit of the approximate solution sequence is a classical weak solution of Euler equation.Using this condition,an example is given to elucidate concentration-cancellation phenomena.