Today’s number system Asymmetric rules

Mirror of today’s system

Asymmetric rules

Perfect Symmetry

Yin-Yang system

$+\times +=+$

$+\times +=-$

$+\times +=+$

$-\times -=+$

$-\times -=-$

$-\times -=-$

$+\times -=-$

$+\times -=+$

$+\times -=\pm$

$-\times +=-$

$-\times +=+$

$-\times +=\pm$

$-\times +=+$ , principal squared plus

$-\times +=-$ , principal squared negative

$\sqrt{+}=+$ principal root

$\sqrt{+}=i$

$\sqrt{+}=+$

$\sqrt{-}=i$

$\sqrt{-}=-$ principal root

$\sqrt{-}=-$

$\sqrt{\pm }=\mathrm{<mo>\; ?\; </mo>}$ No rule

$\sqrt{\pm }=\mathrm{<mo>\; ?\; </mo>}$ No rule

$\sqrt{\pm }=-\times +$

Numerical examples

$2\times 2=4$

$2\times 2=-4$

$2\times 2=4$

$-2\times -2=4$

$-2\times -2=-4$

$-2\times -2=-4$

$2\times -2=-4$

$2\times -2=4$

$2\times -2=\pm 4$

$-2\times 2=-4$

$-2\times 2=4$

$-2\times 2=\pm 4$

$2\times -2=4$ Principal solution

$-2\times 2=-4$ Principal negative solution

$\sqrt{4}=2$

$\sqrt{4}=2i$

$\sqrt{4}=2$

$\sqrt{-4}=2i$

$\sqrt{-4}=-2$

$\sqrt{-4}=-2$

$\sqrt{\pm 4}=\mathrm{<mo>\; ?\; </mo>}$

$\sqrt{\pm 4}=\mathrm{<mo>\; ?\; </mo>}$

$\sqrt{\pm 4}=\sqrt{-2}\sqrt{2}$

$\sqrt{\pm 4}=\sqrt{2}\sqrt{-2}$

Addition and subtraction identical for all systems, as there is no sign dominance.

$2+2=4$

$2+2=4$

$2+2=4$

$-2+2=0$

$-2+2=0$

$-2+2=0$

$2-2=0$

$2-2=0$

$2-2=0$

$-2-2=-4$

$-2-2=-4$

$-2-2=-4$