Abstract: This paper introduces a framework based on piecewise functions for bidimensional extended object tracking and classification. Piecewise functions are used to represent extended objects with ...

There is a rule in mathematics that feels so obvious it barely seems worth stating. Yet accepting it leads to objects with no size, spheres that duplicate themselves, and sets that cannot be measured ...

Summary: A new study demonstrates that some highly gifted dogs can categorize objects not just by appearance, but by how they are used. When taught words like “pull” or “fetch,” these dogs later ...

Experts have confirmed that the mysterious object hurtling towards us, previously dubbed A11pl3Z, is an "interstellar object." The cosmic interloper, officially named 3I/ATLAS, is only the third of ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

This film discusses the concept of functions in mathematics, emphasizing their importance and modern formulations. It explains how to create ordered pairs from a set of numbers and illustrates how ...

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