Best equations to analyze using Big O

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SUMMARY

The discussion focuses on identifying interesting equations for analysis using Big O notation, particularly in the context of computational complexity and number theory. The participant suggests exploring the satisfiability problem (SAT) within the complexity class P, indicating a desire for equations that appear simple but can lead to complex analyses. The conversation emphasizes the importance of specificity in discussing problems related to Landau symbols and computational science.

PREREQUISITES
  • Understanding of Big O notation and its applications in algorithm analysis.
  • Familiarity with computational complexity classes, particularly P and NP.
  • Knowledge of Landau symbols and their usage in mathematical notation.
  • Basic concepts in number theory relevant to computational problems.
NEXT STEPS
  • Research the satisfiability problem (SAT) and its implications in computational complexity.
  • Explore the use of Landau symbols in algorithm analysis and mathematical proofs.
  • Study the relationship between number theory and computational problems.
  • Investigate additional complexity classes beyond P and NP for a broader understanding.
USEFUL FOR

This discussion is beneficial for computer scientists, mathematicians, and students interested in algorithm analysis, computational complexity, and number theory.

Anonymous_001
What would be interesting equations to work with, using Big O?
I'm searching for something that may look simple at first, but can evolve into something more complex!
 
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How about ##SAT \in \mathcal{P}\,##?

You should be far more specific in order to anybody know what you are talking about? Do you want to practice the use of Landau symbols or are you looking for interesting problems in computation science or number theory?
 
fresh_42 said:
How about ##SAT \in \mathcal{P}\,##?

You should be far more specific in order to anybody know what you are talking about? Do you want to practice the use of Landau symbols or are you looking for interesting problems in computation science or number theory?

I am looking for interesting problems in number theory!
 

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