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hyperplane

Dimension vs Hyperplane - What's the difference?

dimension | hyperplane |


In geometry terms the difference between dimension and hyperplane

is that dimension is the number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates while hyperplane is an n-dimensional generalization of a plane; an affine subspace of dimension n-1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane..

As nouns the difference between dimension and hyperplane

is that dimension is a single aspect of a given thing while hyperplane is an n-dimensional generalization of a plane; an affine subspace of dimension n-1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane..

As a verb dimension

is to mark, cut or shape something to specified dimensions.

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