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Understanding The Formulas.pdf

04-squarecubeexpl.pdf
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📊 Size: 289 KB
📄 Pages: 5 pages
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Summary

The article discusses the mathematical explanation behind the success of two formulas proposed by Ali Ibrahim Hussen for approximating the square root and cube root of an arbitrary positive number. The formulas are found to give fairly satisfactory results, with low percentage errors. The article explains why this is so, using mathematical concepts such as geometric mean, harmonic mean, and binomial theorem. The author analyzes the power series expansions of the formulas and compares them with the actual power series expansions of the square root and cube root functions, showing that they coincide up to a certain degree. The article concludes that the formulas work well because they are based on sound mathematical principles, and the errors are small due to the closeness of the approximations to the actual values.

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Description

The article discusses the mathematical explanation behind the success of two formulas proposed by Ali Ibrahim Hussen for approximating the square root and cube...

Technical Information

  • File Format: PDF
  • File Size: 289 KB
  • Pages: 5
  • Language: EN
  • Total Downloads: 121
  • Last Updated: 1 week ago

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This PDF document about Understanding the formulas provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into Understanding the formulas.

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