From: "Apache" <apache@digitalkingdom.org>
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Subject: [jvsw] Definition Edited At Word cnanlagau -- By krtisfranks
Date: Sat, 31 Mar 2018 18:56:39 -0700
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 Content preview:  In jbovlaste, the user krtisfranks has edited a definition
    of "cnanlagau" in the language "English". Differences: 2,2c2,2 < $x_1$ is
    the generalized arithmetic-geometric mean of the elements of the 2-element
    set $x_2$ (set; cardinality must be 2) of order $x_3$ (either single extended-real
    number xor an ordered p [...] 
 
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In jbovlaste, the user krtisfranks has edited a
definition of "cnanlagau" in the language "English".

Differences:

2,2c2,2
< 		$x_1$ is the generalized arithmetic-geometric mean of the elements of the 2-element set $x_2$ (set; cardinality must be 2) of order $x_3$ (either single extended-real number xor an ordered pair of extended-real numbers).
---
> 		$x_1$ is the generalized arithmetic-geometric mean of the elements of the 2-element set $x_2$ (set; cardinality must be 2) of order $x_3$ (either single extended-real number xor an unordered pair/2-element set of extended-real numbers).
5,5c5,5
< 		Elements of $x_2$ must have the same units/dimensionality; the result has the same units/dimensionality as them.
---
> 		Elements of $x_2$ must have the same units/dimensionality; the result has the same units/dimensionality as them. If $x_3=p$ for a single extended-real number $p$, then $x_3=(p,p-1)$ also. If $x_3 = (p,q)$ then the algorithm uses the $p$th-power mean ({cnanfadi}) and the $q$th-power mean; thus $x_3 = (1,0)$ corresponds to the standard arithmetic-geometric mean, $x_3 = (0, -1)$ corresponds to the geometric-harmonic mean. A poor choice of $x_3$ will lead to non-convergence of the sequences produced by the algorithm and, thus, leave $x_1$ undefined (NAN error).
11,11d10
< 		Word: arithmetic-geometric mean, In Sense: 
\n12a12,12
\n> 		Word: arithmetic-geometric mean, In Sense: 


Old Data:

	Definition:
		$x_1$ is the generalized arithmetic-geometric mean of the elements of the 2-element set $x_2$ (set; cardinality must be 2) of order $x_3$ (either single extended-real number xor an ordered pair of extended-real numbers).

	Notes:
		Elements of $x_2$ must have the same units/dimensionality; the result has the same units/dimensionality as them.

	Jargon:
		

	Gloss Keywords:
		Word: arithmetic-geometric mean, In Sense: 
		Word: AGM, In Sense: arithmetic-geometric mean

	Place Keywords:


New Data:

	Definition:
		$x_1$ is the generalized arithmetic-geometric mean of the elements of the 2-element set $x_2$ (set; cardinality must be 2) of order $x_3$ (either single extended-real number xor an unordered pair/2-element set of extended-real numbers).

	Notes:
		Elements of $x_2$ must have the same units/dimensionality; the result has the same units/dimensionality as them. If $x_3=p$ for a single extended-real number $p$, then $x_3=(p,p-1)$ also. If $x_3 = (p,q)$ then the algorithm uses the $p$th-power mean ({cnanfadi}) and the $q$th-power mean; thus $x_3 = (1,0)$ corresponds to the standard arithmetic-geometric mean, $x_3 = (0, -1)$ corresponds to the geometric-harmonic mean. A poor choice of $x_3$ will lead to non-convergence of the sequences produced by the algorithm and, thus, leave $x_1$ undefined (NAN error).

	Jargon:
		

	Gloss Keywords:
		Word: AGM, In Sense: arithmetic-geometric mean
		Word: arithmetic-geometric mean, In Sense: 

	Place Keywords:


You can go to <http://jbovlaste.lojban.org/dict/cnanlagau> to see it.