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Rename PMComplex >> conjugated to complexConjugate #192
Description
Because numbers can also be conjugate in a different sense: 5 + 5 sqrt is conjugate to 5 - 5 sqrt.
https://math.stackexchange.com/questions/3397053/whats-the-correct-definition-of-conjugate-and-do-we-identify-them
Also, this message should be implemented by Number
5 complexConjugate. "5"
(5 + 3i) complexConjugate. "5 - 3i"And testing:
5 isComplexConjugateOf: 5. "true"
(5 + 3i) isComplexConjugateOf: (5 - 3i). "true"
Activity
[-]Rename PMComplex >> conjugated to conjugated [/-][+]Rename PMComplex >> conjugated to complexConjugate[/+][-]Rename PMComplex >> conjugated to complexConjugate[/-][+]Rename ``PMComplex >> conjugated`` to ``complexConjugate``[/+]hemalvarambhia commentedon Apr 10, 2022
hemalvarambhia commentedon Apr 11, 2022
I am noticing now that the Complex Number Test Class has a large number of methods. A refactor might split this up, and there are a number of ways to do that (I'll provide a list in a moment...).
nicolas-cellier-aka-nice commentedon Apr 23, 2022
Because quaternions also have a conjugate operation, will you need yet another
quaternionConjugateselector?hemalvarambhia commentedon Apr 23, 2022
I referred to Wikipedia, and the word used there is conjugation:
The conjugation of a quaternion, in stark contrast to the complex setting, can be expressed with multiplication and addition of quaternions:
{\displaystyle q^{*}=-{\frac {1}{2}}(q+,\mathbf {i} ,q,\mathbf {i} +,\mathbf {j} ,q,\mathbf {j} +,\mathbf {k} ,q,\mathbf {k} )~.}
hemalvarambhia commentedon Apr 23, 2022
Are we discovering that conjugate may have meanings in different contexts? I.e. bounded contexts.