Examples of modern mathematics in everyday life

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For example, I just heard that ATMs are possible thanks to the development of elliptic curve theory. Also that internal cell phone antennas are an application of fractal theory.

Can you share any other specific examples?
 
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A famous example is Google pagerank, which uses linear algebra and advanced probability.
Cell phone antennas also use unitys in group rings.
fingerprint recognitions uses topology, measure theory and a lot of analysis.
Security mechanism everywhere depend on number theory.
 
Hoe modern do you want to consider? All of physics and engineering makes use of mathematics. Also cryptography uses number theory. Statistics is used all over the place.
 
micromass said:
A famous example is Google pagerank, which uses linear algebra and advanced probability.

What kind of probability to be more specific?
 
kramer733 said:
What kind of probability to be more specific?

Stochastic processes and Markov chains. Google sees the web as a giant Markov chain and the pagerank is calculated by the stationary distribution.
 
Bistromath stardrives use the complex calculations involved in fairly splitting up the bill of a light lunch with lattes and scones.