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Other than imaginary numbers what else is there? Like is there

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Other than imaginary numbers what else is there?

Like is there imaginary sets or imaginary vectors?
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>>9060904
Anything that's in the complex number set ?
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>>9060904
>Like is there imaginary sets or imaginary vectors?
Of course.
There are also functions, etc..
>>
>>9060904
What a stupid question. If I said "yes" to there being imaginary sets or imaginary vectors, does that actually mean anything to you? You don't know what you're asking.
>>
>>9060904
Quaternions. Octonions (?). Iirc more than 8 dimensions in an imaginary system is supposed to be impossible, but I never learned why.

Quaternions are good for singularity-free rotations.
>>
Complex vector spaces exist.
So do complex manifolds.
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>>9061990
That's not what quaternions are. You don't know what you're talking about.
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>>9060904
Wait til you hear about negative complex numbers.
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>>9060904

(((facebook)))/Numberfeel/
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>>9061990
They exist, but they're no longer nice algebraically. Check the Cayley-Dickinson construction.
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>>9060912
>complex number set
highschool student detected
>>9061872
this post seems spot on. why bother answering a question when it would take multiple lectures to give a proper response
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>>9061872
What a stupid answer. You are suppose to instill interests in your subordinates as opposed to curb it.
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>>9064153
Explain what's wrong with "complex number set".

Go ahead and try. I'm waiting.
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>>9060904
sure. usually when people learn linear algebra you study it over two main fields: R and C.

there are also plenty of subfields of C which contain i. e.g. Q(i) - the collection of numbers of form a+bi where a and b are rationals.
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>>9060904
I don't really know what you could mean by an "imaginary set" though. Sets are stated in terms of elementhood relations, not numbers.
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>>9060904

You could have vector fields over C or sets of complex numbers if that's what you mean.
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>>9060904
That's not the right way to extrapolate though, it should be days between legal marriage age and actual marriage date.
>>
>>9060904
>0 not on the y-axis

Am I the only one who got triggered by this?
>>
>>9060904
holy shit what if you had complex vectors in infinite dimensional space woah and then tried to do quantum mechanics i wonder what would happen then!!
Thread posts: 19
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