The Logical Language Group Online Dictionary Query

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1 definition found
From Lojban to English :

        Word: ka'o'ei [jbovlaste]
        Type: experimental cmavo (YOU RISK BEING MISUNDERSTOOD IF YOU USE THIS WORD)
  Gloss Word: imaginary i - spherical coordinates
     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.

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