High Quality Content by WIKIPEDIA articles! In geometry, two sets of points in a two-dimensional space are linearly separable if they can be completely separated by a single line. In general, two point sets are linearly separable in n-dimensional space if they can be separated by a hyperplane.A hyperplane is a concept in geometry. It is a generalization of the concept of a plane into a different number of dimensions. Analogous with a plane which defines a two-dimensional subspace in a three-dimensional space, a hyperplane defines a k-dimensional subspace within an n-dimensional space, where k<n. A line, for example, is a one-dimensional hyperplane in a space with any number of dimensions. High dimensional hyperplanes are difficult to visualize, but they share many mathematical properties in common with regular lines and planes.

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