IMAGINARY UNITS
what imaginary units are there? I know, that the only usefull one is "i" and I also know what "j" is, but what are some others (if there are any)?

Question

IMAGINARY UNITS
what imaginary units are there? I know, that the only usefull one is "i" and I also know what "j" is, but what are some others (if there are any)?

amistre64 · Answer

i and j are just different branches defining the same thing

amistre64 · Answer

we can expand the concept of a complex number but what to call them seems to get lost

amistre64 · Answer

a complex number is generally of the form:

a + bi   for some a,b real values.  and i=sqrt(-1)

anonymous · Answer

sqrt is square root, right?

zarkon · Answer

yes...

$i=\sqrt{-1}$

amistre64 · Answer

yes, and cbrt as in cuberoot .... otherwise we can just use stuff like 4rt, 5rt, 2rt  etc

anonymous · Answer

very useful! (I'm only learning this terms in English| :)
and j should be:$$j =\sqrt{1} >when< j \neq 1$$

anonymous · Answer

correct?

amistre64 · Answer

j is a physics or an electricians term

amistre64 · Answer

mathmatiker use i, others use j  but it all refers to the same thing

amistre64 · Answer

im not sure how well hyper numbers and such fit into the foundations of fields and rings and groups and such.  just not educated enough

anonymous · Answer

what about k?

amistre64 · Answer

if we start delving into vectors, then we have general parts called ijk  instead of xyz .. but vectors are not numbers perse

anonymous · Answer

I think I just got lost :D I will check this up later...
Thank you, @amistre64 and @Zarkon !