Definitions
from The Century Dictionary.
 noun An (n—1)dimensional plane, defined in ndimensional space by a homogeneous linear equation between its homogeneous coördinates.
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun geometry An n
dimensional generalization of aplane ; anaffine subspace of dimension n1 thatsplits an ndimensional space. (In a onedimensional space, it is apoint ; In twodimensional space it is aline ; In threedimensional space, it is an ordinary plane)
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Examples

Alternatively, you could use discriminant analysis: find the hyperplane in role playing, sexual orientation, minority group space that best separates those with mental health problems from those without.

We want to see Richard Seaton blow up the Fenacrhone spacebattlewagon with his thirdorder zone of force, assuming he can escape from the fourthdimensional evil of the hyperplane.

The hyperplanedependent theory is genuinely relativistic.
Action at a Distance in Quantum Mechanics Berkovitz, Joseph 2007

In any case, Myrvold's proposal demonstrates that even if state collapses are not hyperplane dependent, they need not be incompatible with relativity theory.
Action at a Distance in Quantum Mechanics Berkovitz, Joseph 2007

This time, I could clearly see the sphere, extending "above" and "below" the hyperplane of threedimensional space in smooth hemispheres.
Orphans of Chaos 2005

Phillips seems to go further and say something to the effect that any vector of random noise can be explained presumably meaning something other than the trivial “you pick the significance of the explanation, and I pick an explaining hyperplane”.

Their little hyperplane was skimming at the brink of space, and the crew was locked inside the cockpit, and the two of them were sharing the little foldout bed.

The Unit Theorem implies that this map has the roots of unity as kernel and maps '' U '' to a lattice of full rank in a hyperplane.
Citizendium, the Citizens' Compendium  Recent changes [en] 2009

The Unit Theorem implies that this map has the roots of unity as kernel and maps '' U '' to a lattice of full rank in a hyperplane.
Citizendium, the Citizens' Compendium  Recent changes [en] 2009

Each of the training examples which supports the dividing line (or more accurately the dividing hyperplane) has a value in the array lagrangeMults which effectively defines it's weight.
Planet PHP 2009
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