Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
|
| gptkbp:alsoKnownAs |
quaternion algebra
|
| gptkbp:application |
gptkb:theoretical_physics
control theory robotics 3D computer graphics |
| gptkbp:associative |
true
|
| gptkbp:basisFor |
1
i k j |
| gptkbp:centralTo |
real numbers
|
| gptkbp:conjugate |
a - bi - cj - dk
|
| gptkbp:dimensions |
4
|
| gptkbp:discoveredBy |
gptkb:William_Rowan_Hamilton
|
| gptkbp:discoveredIn |
1843
|
| gptkbp:divisionAlgebra |
true
|
| gptkbp:field |
real numbers
|
| gptkbp:form |
a + bi + cj + dk
|
| gptkbp:generalizes |
complex numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hamilton quaternion algebra
|
| gptkbp:multiplicationRule |
i^2 = j^2 = k^2 = ijk = -1
|
| gptkbp:noncommutative |
true
|
| gptkbp:norm |
a^2 + b^2 + c^2 + d^2
|
| gptkbp:usedFor |
representing rotations in 3D space
|
| gptkbp:bfsParent |
gptkb:Lipschitz_quaternion_order
|
| gptkbp:bfsLayer |
7
|