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4 papers · 1 filter
Optimization Approach in Axisymmetric Problems of Manipulating DC Currents
Gennady Alekseev, Dmitry Tereshko, Yury Shestopalov
Inverse problems of electric conductivity are studied that arise in the design of spherical shielding or cloaking shells and other functional devices used to control DC electric fi…
Why Topology Matters in Predicting Human Activities
Ding Ma, Itzhak Omer, Toshihiro Osaragi +2
Geographic space is better understood through the topological relationship of the underlying streets (note: entire streets rather than street segments), which enables us to see sca…
Spatial Heterogeneity, Scale, Data Character, and Sustainable Transport in the Big Data Era
Bin Jiang
In light of the emergence of big data, I have advocated and argued for a paradigm shift from Tobler's law to scaling law, from Euclidean geometry to fractal geometry, from Gaussian…
A Smooth Curve as a Fractal Under the Third Definition
Ding Ma, Bin Jiang
It is commonly believed in the literature that smooth curves, such as circles, are not fractal, and only non-smooth curves, such as coastlines, are fractal. However, this paper dem…