Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun Plural form of hyperplane.

Etymologies

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Examples

  • In particular, descriptions of the state of systems in different foliations of spacetime into parallel spacelike hyperplanes, which correspond to different inertial reference frames, are to be related to each other by the Lorentz transformations.

    Action at a Distance in Quantum Mechanics Berkovitz, Joseph 2007

  • That is, in the EPR/B experiment a collapse occurs along all the hyperplanes of simultaneity that intersect the spacetime region of the L-measurement.

    Action at a Distance in Quantum Mechanics Berkovitz, Joseph 2007

  • Similarly, a collapse occurs along all the hyperplanes of simultaneity that intersect the distant (space-like separated) spacetime region of the R-measurement.

    Action at a Distance in Quantum Mechanics Berkovitz, Joseph 2007

  • In their theory, state collapse occurs along an infinite number of spacelike hyperplanes that intersect the spacetime region of the measurements.

    Action at a Distance in Quantum Mechanics Berkovitz, Joseph 2007

  • How many equal three-dimensional spaces would a hypersphere be cut into by hyperplanes at right angles to each other?

    Orphans of Chaos 2005

  • The spacetime structure that is implied by special relativity is thus an affine space, like Newtonian spacetime, but it is not objectively divided into hypersurfaces of absolute simultaneity; the sets of simultaneous events for any inertial frame are the hyperplanes orthogonal to the trajectories that determine that frame.

    Space and Time: Inertial Frames DiSalle, Robert 2002

  • "I think I followed projecting the n-dimensional hyperplanes into n-1 dimensional spaces, but I got a little tangled up when they started to intersect."

    THE WRATH OF KHAN VONDA N.McINTYRE 1990

  • "I think I followed projecting the n-dimensional hyperplanes into n-1 dimensional spaces, but I got a little tangled up when they started to intersect."

    THE WRATH OF KHAN VONDA N.McINTYRE 1990

  • "I think I followed projecting the n-dimensional hyperplanes into n-1 dimensional spaces, but I got a little tangled up when they started to intersect."

    THE WRATH OF KHAN VONDA N.McINTYRE 1990

  • "I think I followed projecting the n-dimensional hyperplanes into n-1 dimensional spaces, but I got a little tangled up when they started to intersect."

    THE WRATH OF KHAN VONDA N.McINTYRE 1990

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