信息检索与数据挖掘 2019年4月16日 例：可用超平面来分割多维空间 .A hyperplane is a set of the form {x aTx=b),where a∈Rn,a≠0，andb∈R. Geometrically,the hyperplane {x aTx=b}can be interpreted as the set of points with a constant inner product to a given vector a,or as a hyperplane with normal vector a;the constant b E R determines the offset of the hyperplane from the origin. A hyperplane divides Rn into two halfspaces.A (closed)halfspace is a set of the form {x aTx<b), 11信息检索与数据挖掘 2019年4月16日 例：可用超平面来分割多维空间 • A hyperplane is a set of the form {x | aTx = b}, where a ∈ Rn , a ≠ 0, and b ∈ R. • Geometrically, the hyperplane {x | aTx = b} can be interpreted as the set of points with a constant inner product to a given vector a, or as a hyperplane with normal vector a; the constant b ∈ R determines the offset of the hyperplane from the origin. • A hyperplane divides Rn into two halfspaces. A (closed) halfspace is a set of the form {x | aTx ≤ b}, 11