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

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SUMMARY

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 decomposition of signals into components, facilitating applications such as time-series analysis. The discussion highlights the ongoing research in this area and its relevance to real-world applications, including potential uses in cryptography and percolation theory.

PREREQUISITES
  • Understanding of wavelet theory and its applications in data processing
  • Familiarity with Fourier transforms and their role in signal analysis
  • Basic knowledge of time-series analysis techniques
  • Awareness of cryptography principles and percolation theory
NEXT STEPS
  • Explore advanced wavelet techniques for time-series analysis
  • Research the applications of wavelets in image and video compression
  • Investigate the relationship between wavelets and Fourier transforms
  • Learn about the implications of percolation theory in mathematical modeling
USEFUL FOR

Mathematicians, data scientists, researchers in signal processing, and professionals in cryptography seeking to understand the latest mathematical advancements with practical applications.

Gerenuk
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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.
 
Mathematics news on Phys.org
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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