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| valsi |
ka'o'ei |
| type |
experimental cmavo |
| creator |
krtisfranks |
| time entered |
Fri Dec 26 05:27:53 2014 |
Examples
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English
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Definition #64011
- Preferred
[edit]
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| 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 |
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| created by |
krtisfranks |
| vote information |
1
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| time |
Fri Jun 2 23:06:09 2017 |
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[View
Comments For This Definition] |
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Examples
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| krtisfranks | {ka'o} + "e" for the number e ({te'o}) + "i" for the imaginary unit i | [edit] |
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