Tropical geometry
In mathematics, tropical geometry is the study of polynomials and their geometric properties when addition is replaced with minimization and multiplication is replaced with ordinary addition: x ⊕ y = min { x , y } {\displaystyle x\oplus y=\min\{x,y\}} , x ⊗ y = x + y {\displaystyle x\otimes y=x+y} . So for example, the classical polynomial x 3 + x y + y 4 {\displaystyle x^{3}+xy+y^{4}} would become min { x + x + x , x + y , y + y + y + y } {\displaystyle \min\{x+x+x,\;x+y,\;y+y+y+y\}} .