What if numbers speak a hidden language?
Have you ever wondered why some numbers seem to behave mysteriously when viewed from different angles? Mathematicians...
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What is the limit of many processes' minima?
Imagine having several groups of random processes that evolve over time with sudden jumps (cadlag processes). Each...
Math operators: the secret to perfect convergence?
Imagine reconstructing a distorted signal using only "maximum" and "minimum" operations between neighboring values,...
Robots that Talk Less to Each Other but Learn Better: The Secret Is in Compression
Imagine a thousand robots that need to solve a problem together, but can only communicate with very short messages. How...
When math 'cancels' limits: the secret of Riesz potentials
Imagine having to measure how 'smooth' or 'rough' a function is. In mathematical analysis, Riesz potentials are tools...
How to tame chaos? Is there a way to stabilize unpredictable systems?
Imagine having to fly a drone in the middle of a sudden storm or managing a robot moving on unstable ground. In these...
When graphs fall in line: the secret of linear resolutions
Imagine a friendship network: each person is a dot (vertex) and each friendship is a line (edge) connecting two dots....
Extreme mathematics: how do you define an invisible object?
Imagine having to describe an object you cannot see, but which follows very precise mathematical rules. Scientists have...
Extreme Mathematics: How do you decompose a 'difficult' operator?
Imagine having a puzzle where the pieces don't fit together perfectly as usual. In mathematics, operators are like...