| In this thesis, first we briefly introduce the definition and properties of Haus-dorff measure and net measure in the fractal theory, and some advanced studiesabout fractal measures. Among these studies, there is one related the definitionand properties of multi-measures. In this thesis, we continue to study the prop-erties of the multi-dimension and multiple measure, and propose the concept ofmultiple net measure at first time. Furthermore, we proved that the multiple netmeasure is equivalent to the multi-measure and investigated the properties of themultiple net measure. |
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