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Mathematical derivation process.

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journal contribution
posted on 2024-05-31, 19:40 authored by Yanguang Chen

This file provides a detailed derivation process for the relationship between spatial correlation dimension and spatial autocorrelation function based on Moran’s I.

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    useful mathematical modelsspatial contiguity functionspatial correlation processspatial correlation matrixesmoran &# 8217spatial autocorrelation processesspatial autocorrelation functions>< sub ><spatial correlation modelingspatial correlation dimension3623 ± 0correlation dimension provedcharacteristic length parameters2 >< sub xmlnsspatial autocorrelationcorrelation dimensionspatial modeling>< supcharacteristic length>moran ’fractal parametersfractal dimensionxlink ">urban systemstudy revealsscaling exponentr quantitative analysisorganized evolutionintrinsic relationshipinherent associationindex provedfractal patternsempirical analysiscomplex systemscomplex structurechinese citiesc always associated

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