Mathematical definition
D 0 { {D}_{0}} D0And D 1 { {D}_{1}}D1Are two point sets in n-dimensional Euclidean space. If there are n-dimensional vector w and scalar b, so that all belong to D 0 { {D}_{0}}D0Point xi { {x}_{i}}xi都有 w x i + b > 0 w{ {x}_{i}}+b>0 wxi+b>0 , and for all belonging toD 1 { {D}_{1}}D1Point xj { {x}_{j}}xj则有 w x j + b < 0 w{ {x}_{j}}+b<0 wxj+b<0 , then we callD 0 { {D}_{0}}D0And D 1 { {D}_{1}}D1Linearly separable.
