Alternate dimensions aren’t outside our everyday experience. In fact, we can use exotic dimensions, like fractional dimensions, to measure things as common as coastlines. Find out about the Hausdorff ...

Geometric measure theory provides a framework for analysing the interplay between geometric structures and measure, and is particularly adept at characterising the complexity of fractal sets through ...

Traditional inequality measures fail to capture the geographical distribution of income. The failure to consider such distribution implies that, holding income constant, different spatial patterns ...

We prove that the upper and lower local dimensions of a finite measure μ are equal to the upper and lower limit of — log α/ logfr̂ αμ (x), where is the mean distance to the closest point for the ...

When decisions are driven by data, it matters what the data are and, more importantly, what they measure. The metric can become an organization’s mission, influence a policy’s objectives and goals, ...

I wholeheartedly agree with science and the rigorous process of the scientific method, together with logic and reason. The boundaries of the previously inexplicable have vastly been pushed further and ...

Scientists have measured gravity at an extremely short distance, in what they hope will tell us more about extra dimensions. The rest of this article is behind a paywall. Please sign in or subscribe ...