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
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Examples
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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
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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
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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
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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
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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
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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
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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.
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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.
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On the monodromy theorem for isolated hypersurface singularities.
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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
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