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| Release 4.0 | ||
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Predefined Functions - loquat
| Function name: | loquat |
| Synopsis: | loquat(x) |
| Input data type | Output data type |
|---|---|
| real | unsupported |
| complex | quaternion |
| quaternion | complex |
Description:
This function lets you create a quaternion number from a complex number and a complex number from a quaternion number.
Given a complex number c=(cr,ci) loquat(c) returns the quaternion number (0,0,cr,ci)
Given a quaternion number q=(qr,qi,qj,qk) loquat(q) returns the complex number (qj,qk)
Thus given a complex number c=(cr,ci) we have loquat(loquat(c))=c
Or given a quaternion number q=(qr,qi,qj,qk) we have loquat(loquat(q))=(0,0,qj,qk)
See also hiquat for converting the real and imaginary part of a quaternion...