21. The parameters of the maximum-margin hyperplane are derived by solving the optimization. 22. N is a normal vector of this hyperplane . 23. Hence, there must be a separating hyperplane . 24. Logical knowledge is represented by linear equations, or geometrically, a certainty hyperplane . 25. The hyperplane arrangement can be constructed from a cuboctahedron ( a platonic solid ): 26. Change of normalisation : mapping the null cone from the hyperplane to the hyperplane. 27. Change of normalisation : mapping the null cone from the hyperplane to the hyperplane . 28. Also, let be the hyperplane that splits the longest side of in two. 29. Any hyperplane can be written as the set of points \ mathbf { x } satisfying 30. In the first version of the theorem, evidently the separating hyperplane is never unique.
