What does orthant mean?
Definitions for orthant
or·thant
This dictionary definitions page includes all the possible meanings, example usage and translations of the word orthant.
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Wiktionary
orthantnoun
A n-dimensional generalization of the terms quadrant (in two-dimensional Cartesian space) and octant (in three-dimensional space).
Wikipedia
Orthant
In geometry, an orthant or hyperoctant is the analogue in n-dimensional Euclidean space of a quadrant in the plane or an octant in three dimensions. In general an orthant in n-dimensions can be considered the intersection of n mutually orthogonal half-spaces. By independent selections of half-space signs, there are 2n orthants in n-dimensional space.
Wikidata
Orthant
In geometry, an orthant or hyperoctant is the analogue in n-dimensional Euclidean space of a quadrant in the plane or an octant in three dimensions. In general an orthant in n-dimensions can be considered the intersection of n mutually orthogonal half-spaces. By permutations of half-space signs, there are 2 orthants in n-dimensional space. More specifically, a closed orthant in R is a subset defined by constraining each Cartesian coordinate to be nonnegative or nonpositive. Such a subset is defined by a system of inequalities: where each εi is +1 or −1. Similarly, an open orthant in R is a subset defined by a system of strict inequalities where each εi is +1 or −1. By dimension: ⁕In one dimension, an orthant is a ray. ⁕In two dimensions, an orthant is a quadrant. ⁕In three dimensions, an orthant is an octant.
Numerology
Chaldean Numerology
The numerical value of orthant in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of orthant in Pythagorean Numerology is: 6
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"orthant." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/orthant>.
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