Geometric analysis, at its core, integrates methods from differential geometry and partial differential equations to study the properties of spaces endowed with a notion of distance. Metric spaces, ...

Fractal geometry offers a rigorous framework for describing irregular and self-similar structures that are ubiquitous across nature and technology. This field has profoundly influenced our ...

1. Analysis of a non-centring coefficient provides inefficiently oriented principal axes. A similarity coefficient which is suitable for Q-type studies is described. 2. Arcsin square root ...

X-ray diffraction (XRD) is a powerful non-destructive analytical technique used to evaluate crystalline materials and determine their structural properties. As one of the most widely used ...