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Peter Badge. Mathematics often feels like a collection of isolated islands. Each one operates with its own rules, and ...

Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry.

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Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. In chemical reaction network theory, ordinary differential equations are used to model ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...