Compute Integer to Any Real Power Algorithm

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SUMMARY

The discussion centers on the absence of a digit-by-digit algorithm for computing an integer raised to any real power. While algorithms for square roots and cube roots exist, they are outdated and rarely utilized in modern computing. Participants suggest that if such algorithms are not readily available online, one may need to consult historical texts or resources. The conversation highlights a gap in contemporary computational methods for this specific mathematical operation.

PREREQUISITES
  • Understanding of exponentiation and real numbers
  • Familiarity with digit-by-digit algorithms
  • Knowledge of historical computational methods
  • Basic mathematical concepts related to roots
NEXT STEPS
  • Research historical algorithms for computing square and cube roots
  • Explore modern alternatives for real number exponentiation
  • Investigate the use of numerical methods in computational mathematics
  • Study the implementation of algorithms in programming languages like Python or C++
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Mathematicians, computer scientists, and software developers interested in numerical methods and historical algorithms for exponentiation.

michalll
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Hi, I was wondering if there exists an algorithm for one by one digit computation of an integer to the power of any real number? Couldn't find anything on the net.
 
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michalll said:
Hi, I was wondering if there exists an algorithm for one by one digit computation of an integer to the power of any real number? Couldn't find anything on the net.

There are digit-by-digit algorithms for square roots and even cube roots. But nobody uses them any more, not even computers use them. If they are not on the Internet, then you may have to go and look in an old-fashioned paper book. (You know, the kind copied by ancient monks using pens made from goose quills.)
 

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