A ⊕ B = {a+b : a∈A, b∈B}; A ⊖ B = {x : x+B ⊆ A}. Brunn-Minkowski inequality: vol(A⊕B)^(1/d) ≥ vol(A)^(1/d) + vol(B)^(1/d). Foundational for convex geometry, image processing morphology, robotics motion-planning.
A ⊕ B = {a+b : a∈A, b∈B}; A ⊖ B = {x : x+B ⊆ A}. Brunn-Minkowski inequality: vol(A⊕B)^(1/d) ≥ vol(A)^(1/d) + vol(B)^(1/d). Foundational for convex geometry, image processing morphology, robotics motion-planning.