In
Euclidean geometry,
linear separability is a geometric property of a pair of sets of
points. This is most easily visualized in two dimensions (the
Euclidean plane) by thinking of one set of points as being colored blue and the other set of points as being colored red. These two sets are
linearly separable if there exists at least one
line in the plane with all of the blue points on one side of the line and all the red points on the other side. This idea immediately generalizes to higher-dimensional Euclidean spaces if line is replaced by
hyperplane.