Are there any recent advances in Maths that have real world applications?

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Recent advances in mathematics, particularly in wavelet theory, have significantly impacted data processing by enabling more efficient storage of images and videos. Wavelets allow for the compression of data while preserving essential features, making them crucial in various applications. The discussion highlights ongoing research in this area, emphasizing its relevance and potential for further development. Additionally, there is interest in applying wavelet techniques to construct time-series data, similar to Fourier transforms. Overall, these mathematical innovations continue to play a vital role in real-world applications.
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Can you think of some recent advances in Maths (i.e. an physics undergrad won't know) that are at least vaguely related to some real world applications (i.e. life would be harder without them)?
Some new tools, tricks or methods?
Maybe some new concept apart from algorithmic improvements for speed.
 
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Wavelets. It basically revolutionized the field of data processing, and it caused images and movies to take up less space.

It's still a very, very, very popular area of research!
 
Thanks. Interesting!
I once read something about basic wavelets and it seemed a simple idea. But I guess I have to read more about it.
Good suggestion :)
 
Does anyone know if i can construct-compose time-series consist of wavlets? e.g. if i have as data a characteristic wave height and a wave length i can produce time-series with Fourier transform which equals of a superposition of sinus waves. i want to do the same but with wavelets. possible?
 
Gerenuk: cryptography?
 
http://en.wikipedia.org/wiki/Percolation_theory"
 
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