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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
We introduce a new Hausdorff type measure on plane and define a new dimension print associated with this measure. Our main theorems show that this measure is just the generalization of Lebesgue measure and the new dimension print contains more information than the usual one.
Keywords:Dimension print, Hausdorff type measure, Lebesgue measure