| 41. | In a vector space of finite dimension, a vector hyperplane is thus a subspace of dimension.
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| 42. | A hyperplane on a topological vector space " X " is either dense or closed.
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| 43. | It's kernel, which is a hyperplane passing through the origin, and its norm.
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| 44. | The reflection of a point " x " about this hyperplane is the linear transformation:
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| 45. | Be sure to note that the vector \ vec w is the normal to the discriminant hyperplane.
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| 46. | Large values of the communalities will indicate that the fitting hyperplane is rather accurately reproducing the correlation matrix.
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| 47. | In particular, the root system must be invariant under reflection through the hyperplane perpendicular to any root.
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| 48. | The topology of hyperplane sections is studied in the topic of the Lefschetz hyperplane theorem and its refinements.
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| 49. | The topology of hyperplane sections is studied in the topic of the Lefschetz hyperplane theorem and its refinements.
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| 50. | There are more than one hyperplane separating a closed convex set and a point lying outside of it.
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