Orthant
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In geometry of n dimensions, an orthant is one of the 2n parts of Euclidean space defined by constraining each Cartesian coordinate axis to be positive or negative. That is, an orthant is the analogue of a quadrant in the plane, and is defined by a system of inequalities
- εixi ≥ 0 for 1 ≤ i ≤ n
on the coordinates xi, where εi is +1 or −1.
