Definitions

from The Century Dictionary.

  • noun In space of n-dimensions, Sn, the aggregate of points whose coördinates satisfy a rational homogeneous equation with integral coefficients.

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

  • noun mathematics A n.-dimensional surface in a space (often a Euclidean space) of dimension n.+1

Etymologies

Sorry, no etymologies found.

Support

Help support Wordnik (and make this page ad-free) by adopting the word hypersurface.

Examples

  • The Weyl curvature is zero on both the future boundary and past boundary, hence the Big Bang is still well-defined in the cyclic model as the unique hypersurface on which the Weyl curvature vanishes.

    Archive 2009-05-01 Gordon McCabe 2009

  • Found via Exporting the past into the future, or, "The Possibility Jelly lives on the hypersurface of the present" which in turn came via a tweet.

    The location-aware future is here (and why cities suck but are good) Mia 2009

  • Found via Exporting the past into the future, or, "The Possibility Jelly lives on the hypersurface of the present" which in turn came via a tweet.

    Archive 2009-02-01 Mia 2009

  • The far future of our universe is therefore representable by de Sitter space-time, and in this type of space-time the future timelike boundary is a spacelike hypersurface.

    Archive 2009-05-01 Gordon McCabe 2009

  • Now, in an open or flat Friedmann-Robertson-Walker cosmological model with no cosmological constant, whilst the past 'Big-Bang' singularity corresponds to a spacelike hypersurface in the boundary of the conformal compactification, the future timelike infinity corresponds to a single point.

    Archive 2009-05-01 Gordon McCabe 2009

  • Given an initial condition on a time-like hypersurface as a mathematical model for the universe, we can determine in which direction a dynamics (supposed here to be deterministic, whether applied to a quantum or to a classical state) causes the entropy to increase or to decrease.

    Arrow of Time FAQ Sean 2007

  • Oh and BTW, the mind is a maximum hypersurface and thought a trajectory on it and the amygdala and hippocampus are Hopf maps of it.

    Mind Hacks: Chris McKinstry has left the building 2006

  • Oh and BTW, the mind is a maximum hypersurface and thought a trajectory on it and the amygdala and hippocampus are Hopf maps of it.

    Mind Hacks: February 2006 Archives 2006

  • On the monodromy theorem for isolated hypersurface singularities.

    RegEM « Climate Audit 2006

  • The shock waves the hypersphere gave off were only "sound" along one surface (hypersurface?) of the concentrically expanding ripples of pressure.

    Orphans of Chaos 2005

Comments

Log in or sign up to get involved in the conversation. It's quick and easy.