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Content
Algebra
Indices
Multiplication
Division
Involution
Evolution
Sources and References
Algebra
Indices
𝑎−𝑛=1𝑎𝑛
𝑎0=1
Multiplication
𝑎1𝑚 ×𝑎1𝑛 =𝑎1𝑚 +1𝑛 =𝑎𝑚+𝑛𝑚𝑛 =𝑚𝑛𝑎𝑚+𝑛
Division
𝑎1𝑚 ÷𝑎1𝑛 =𝑎1𝑚 −1𝑛 =𝑎𝑚−𝑛𝑚𝑛 =𝑚𝑛𝑎𝑚−𝑛
Involution
(𝑎𝑛𝑚 )1𝑛 =𝑎𝑛𝑚 ×1𝑛 =𝑎1𝑚 =𝑚𝑎
Evolution
𝑟𝑎𝑛𝑚 =𝑎𝑛𝑚 ×1𝑟 =𝑎𝑛𝑚𝑟 =𝑟𝑚𝑎𝑛
Sources and References
https://archive.org/details/synopsis-of-elementary-results-in-pure-and-applied-mathematics-pdfdrive
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ID: 210500030 Last Updated: 5/30/2021 Revision: 0 Ref:
References
- B. Joseph, 1978, University Mathematics: A Textbook for Students of Science & Engineering
- Wheatstone, C., 1854, On the Formation of Powers from Arithmetical Progressions
- Stroud, K.A., 2001, Engineering Mathematics
- Coolidge, J.L., 1949, The Story of The Binomial Theorem
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