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1 (one)

For multidimensional numbers the unit e0 is the real number 1.

 


Explanation

In a number with multiple dimensions, the different terms consist of the real numbers xa and the units ea

Real number x = x0 e0
Complex number z = x0 e0 + x1 e1
Quarternion q = x0 e0 + x1 e1 + x2 e2 + x3 e3
Octonion w = x0 e0 + x1 e1 + x2 e2 + x3 e3 + x4 e4 + x5 e5 + x6 e6 + x7 e7

Where e0 is the real number 1 and e1 is the imaginary unit i.

 


History

This notation was proposed in 1844 by the German mathematician Hermann Grassmann, who developed linear algebra.


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