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Dictionary record

This is a "best guess" listing for the word "ka'o'ei" in language English, meaning that only one of the definitions for this word will be shown (the one with the highest total votes). See all the definitions for ka'o'ei.


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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 16:06:09 2017
[View Comments For This Definition]

Examples
Etymology

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