31. A value equal to 1.0 indicates all data fit perfectly within the hyperplane . 32. Together with the weights, the threshold defines a dividing hyperplane in the instance space. 33. In that case, the intersection point mentioned above lies on the hyperplane at infinity. 34. The locus " t " = 0 is called the hyperplane at infinity. 35. The supporting hyperplane theorem is a special case of the Hahn Banach theorem of functional analysis. 36. These two convex, non-intersecting sets allow us to apply the separating hyperplane theorem. 37. The exponents of the monomials of a critical Lagrangian define a hyperplane in an exponent space. 38. A hyperplane is a subspace of one dimension less than the dimension of the full space. 39. Where is a given smooth projective variety in the ambient projective space and is a hyperplane . 40. Other similar methods, such as Maximum Marginal Hyperplane , choose data with the largest W.
