Statements (35)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
hypercomplex number system
|
| gptkbp:algebraOver |
real numbers
|
| gptkbp:alsoKnownAs |
coquaternions
para-quaternions |
| gptkbp:associative |
true
|
| gptkbp:basisFor |
1
i k j |
| gptkbp:dimensions |
4
|
| gptkbp:discoveredBy |
James Cockle
|
| gptkbp:discoveredIn |
1849
|
| gptkbp:hasZeroDivisors |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
split quaternions
|
| gptkbp:imaginaryPart |
vector part
|
| gptkbp:multiplicationRule |
ij = k
ik = -j ji = -k jk = i ki = j kj = -i i^2 = 1 j^2 = 1 k^2 = -1 |
| gptkbp:noncommutative |
true
|
| gptkbp:nonDivisionAlgebra |
true
|
| gptkbp:realPart |
scalar part
|
| gptkbp:relatedTo |
quaternions
split-complex numbers |
| gptkbp:signature |
(2,2)
|
| gptkbp:usedIn |
gptkb:geometry
gptkb:special_relativity mathematical physics |
| gptkbp:bfsParent |
gptkb:octonion_algebra_(split_form)
|
| gptkbp:bfsLayer |
8
|