Nalvaizmiku: Import words via API

2026-01-13T15:22:03Z

Import words via API

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==== valsi ====
ka'o'ei
==== type ====
experimental cmavo
==== creator ====
[[personal/krtisfranks|krtisfranks]]
==== time entered ====
Fri Dec 26 05:27:53 2014

== English ==
=== Definition #64011 - Preferred ===

==== 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|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|te'o]], [[ka'o|ka'o]].
==== gloss words ====

<ul><li>[[natlang/en/imaginary i - spherical coordinates|imaginary i - spherical coordinates]]</li></ul>

==== created by ====
[[personal/krtisfranks|krtisfranks]]
==== vote information ====
1

==== time ====
Fri Jun 2 23:06:09 2017

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=== Etymology ===

ka'o'ei - Revision history

Nalvaizmiku: Import words via API