From: "Apache" <apache@digitalkingdom.org>
To: curtis289@att.net
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Subject: [jvsw] Definition Edited At Word ka'o'ei -- By krtisfranks
Date: Fri, 31 Mar 2017 13:14:41 -0700
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In jbovlaste, the user krtisfranks has edited a
definition of "ka'o'ei" in the language "English".

Differences:

5,5c5,5
< 		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), but it need not be so restricted; x will almost certainly be real. r is necessarily nonnegative and real. See also: {te'o}, {ka'o}.
---
> 		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); in this situation, 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}.


Old Data:

	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), but it need not be so restricted; x will almost certainly be real. r is necessarily nonnegative and real. See also: {te'o}, {ka'o}.

	Jargon:
		

	Gloss Keywords:
		Word: imaginary i - spherical coordinates, In Sense: 

	Place Keywords:


New Data:

	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); in this situation, 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}.

	Jargon:
		

	Gloss Keywords:
		Word: imaginary i - spherical coordinates, In Sense: 

	Place Keywords:


You can go to <http://jbovlaste.lojban.org/dict/ka'o'ei> to see it.