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valsi 
ka'o'ei 
type 
experimental cmavo 
creator 
krtisfranks 
time entered 
Fri Dec 26 05:27:53 2014 
Examples


English


Definition #64011
 Preferred
[edit]


selma'o 
PA5 
definition 
imaginary i, comma  spherical coordinates: first coordinate gives magnitude (complex modulus/radius) of the number, the second number gives the angle from the positive real axis measured counterclockwise toward the 'positive' imaginary axis (default: in the primary branch/Arg) as measured in some units (which that number should contain; the contextless default will suppose radians); the angle is not normalized. 
notes 
The number (r, x) = r*e^(i x); this would be denoted by "ry ka'o'ei xy". The angle x is (by default) measured in radians and is not normalized (contains no hidden/inherent multiples of pi); it will canonically be between 0 and tau radians (inclusive on only one side; "tau" here means "tau'u"), but it need not be so restricted; x will almost certainly be real. r is necessarily nonnegative and real. r = 0 implies that (r,x) = 0 (as a complex number  id est: complex zero); r being infinite implies that (r,x) is complex infinity (on the Riemann sphere, for example); in either of these situations, x will default to x = 0 if possible  otherwise, to the least value allowed by its domain which is congruent to 0 modulo tau radians. See also: te'o, ka'o. 
gloss words 

created by 
krtisfranks 
vote information 
1

time 
Fri Jun 2 23:06:09 2017 

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Comments For This Definition] 

Examples



krtisfranks  {ka'o} + "e" for the number e ({te'o}) + "i" for the imaginary unit i  [edit] 

