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Complex geometry studies spaces that locally resemble complex coordinate systems and examines their intrinsic curvature and topological properties. Central to this field is Kähler geometry, where a ...

Researchers at Cardiff University have presented two studies at the 2026 International Conference on Machine Learning (ICML ...

Algebraic geometry and the theory of complex manifolds together form a foundational pillar of modern mathematics, interweaving geometric intuition with algebraic precision. Algebraic geometry studies ...

Are two sets of data genuinely different, or is it because of randomness? This question, known as the two-sample testing problem, becomes notoriously difficult in modern datasets, because they are ...

Whether it’s a 3D printed robot chassis or a stained glass window, looking at a completed object and trying to understand how it was designed and put together can be intimidating. But upon closer ...

In spite of their name, “imaginary” numbers are as real as any other numbers, especially when it comes to hunting for lost treasure. For our first Insights puzzle of 2019, let’s go on a treasure hunt.

Here’s what you’ll learn when you read this story: A team of German physicists has built a fully working version of quantum mechanics that uses only real numbers. Complex numbers, built from a ...