halfspace

listen to the pronunciation of halfspace
الإنجليزية - التركية
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الإنجليزية - الإنجليزية
Either of the two parts of a three-dimensional object cut by a two-dimensional plane
A simple mathematical model of the structure of the Earth, as used in seismology
A mathematical model bounded by a planar surface but otherwise infinite Properties within the model are commonly assumed to be homogeneous and isotropic, unlike the Earth itself, which is heterogeneous and anisotropic
A mathematical model used to approximate the earth when performing some calculations in seismology The model is much simpler than the real earth
Consider the hyperplane, {x in R^n: a'x = b} (where a is in R^n\{0}) This partitions R^n into two (closed) half spaces: {x: a'x <= b} and {x: a'x >= b} The two associated open halfspaces are {x: a'x < b} and {x: a'x > b}
halfspace
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