Mathematics in Education, Research and Applications (MERAA), 2025(11), 1
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Published online 2025-12-10
DOI:https://doi.org/10.15414/meraa.2025.11.01.1-8
Complex numbers with new definitions of imaginary base numbers
Mehmet Pakdemirli
Manisa Celal Bayar University, Department of Mechanical Engineering, Muradiye, Yunusemre, Manisa, Turkey
Article Fulltext (PDF), pp. 1–8
- A systematic way of producing new imaginary base numbers is outlined. The new imaginary bases are distinguished from the usual imaginary number i by
employing another symbol j. The relationships of the new base numbers with the usual one are discussed. Several different imaginary base numbers are derived.
Complex roots of algebraic equations can be expressed in terms of the new base numbers also. Basic arithmetic operations can be conducted in the new base
system by using the definitions. Some potential application areas of the new base systems are also discussed
- Keywords: imaginary number, roots of functions, basic operations
- JEL Classification: C20, C60