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/ˈhaɪ.pəˌsfɪə/ · noun
(geometry) The set of all points in a given hyperspace that are at a given distance from a given point; a generalization of a sphere in four or more dimensions..
The timing and location of these battles have not been established. “Sphere” in this context is a hypersphere made up of complexes of two and three-D surfaces, or membranes, shortened in this translation to “branes,” extending into higher dimensions that combine vectors of transit, but also scalar tactical probabilities—a difficult concept to grasp, but essential to understanding Forerunner warfare.
To prove that the hypersphere is a manifold we wish to divide it into polyhedral solids.
Use hypersphere when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Hypersphere means (geometry) The set of all points in a given hyperspace that are at a given distance from a given point; a generalization of a sphere in four or more dimensions..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
The timing and location of these battles have not been established. “Sphere” in this context is a hypersphere made up of complexes of two and three-D surfaces, or membranes, shortened in this translation to “branes,” extending into higher dimensions that combine vectors of transit, but also scalar tactical probabilities—a difficult concept to grasp, but essential to understanding Forerunner warfare.
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