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1 (one)

For multidimensional numbers the unit e₀ is the number 1.

 

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Explanation

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

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.

 

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

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