Examples of modern mathematics in everyday life

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Discussion Overview

The discussion explores various applications of modern mathematics in everyday life, highlighting specific examples from technology, physics, engineering, and cryptography. Participants share insights into how mathematical theories and concepts underpin practical systems and tools.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants mention that elliptic curve theory enables ATMs and that fractal theory is applied in internal cell phone antennas.
  • Others highlight Google PageRank as a significant example, noting its reliance on linear algebra and advanced probability.
  • Fingerprint recognition is cited as utilizing topology, measure theory, and analysis, while security mechanisms are said to depend on number theory.
  • One participant questions the timeframe of "modern" mathematics, suggesting that all of physics and engineering heavily rely on mathematical principles.
  • There is a request for clarification regarding the type of probability used in Google PageRank, leading to a mention of stochastic processes and Markov chains.
  • A humorous example of "bistromath stardrives" is introduced, referencing complex calculations for splitting bills.

Areas of Agreement / Disagreement

Participants present multiple competing views on the examples of mathematics in everyday life, with no consensus reached on a definitive list or the scope of "modern" mathematics.

Contextual Notes

Some claims depend on specific definitions of mathematical concepts and their applications, which remain unresolved in the discussion.

kaleidoscope
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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?
 
Last edited:
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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.
 

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