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hyperplane

[ hahy-per-pleyn, hahy-per-pleyn ]

noun

, Mathematics.
  1. a subspace of a vector space that has dimension one less than the dimension of the vector space.


hyperplane

/ ˈhaɪpəˌpleɪn /

noun

  1. maths a higher dimensional analogue of a plane in three dimensions. It can be represented by one linear equation
“Collins English Dictionary — Complete & Unabridged” 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word History and Origins

Origin of hyperplane1

First recorded in 1900–05; hyper- + plane 1
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Example Sentences

Mathematically, this piece of paper is called a hyperplane.

Many safety check algorithms work by generating this hyperplane at a single point in time.

However, each time the robot moves, a new hyperplane needs to be recomputed to perform the safety check.

Instead, this new technique generates a hyperplane function that moves with the robot, so it can prove that an entire trajectory is collision-free rather than working one hyperplane at a time.

This function is an equation that describes where the hyperplane needs to be at each point in the planned trajectory so it remains collision-free.

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