From: "Apache" <apache@digitalkingdom.org>
To: curtis289@att.net
Reply-To: webmaster@lojban.org
Subject: [jvsw] Definition Added At Word cnansari -- By krtisfranks
Date: Sat, 31 Mar 2018 22:01:25 -0700
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 Content preview:  In jbovlaste, the user krtisfranks has added a definition
   of "cnansari" in the language "English". New Data: Definition: $x_1$ is the
    mean-value theorem mean/forward-difference-quotient mean of the elements
   of multiset $x_2$ (2-element set) under/for function $x_3$. 
 
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In jbovlaste, the user krtisfranks has added a
definition of "cnansari" in the language "English".

New Data:

	Definition:
		$x_1$ is the mean-value theorem mean/forward-difference-quotient mean of the elements of multiset $x_2$ (2-element set) under/for function $x_3$.

	Notes:
		Let the sumti of $x_3$ be a real-valued, univariate function $f$ which is defined and continuous on at least the closed interval [$min(x_2), max(x_2)$] and differentiable on at least the open interval $(min(x_2), max(x_2))$, such that the derivative $f'$ is injective. Then $x_1 = (f')^{(-1)} ((f(max(x_2)) - f(min(x_2)))/(max(x_2)-min(x_2)))$ if $x_2$ has cardinality 2; if $x_2$ has cardinality 1, then $x_1$ is the sole element of that set; other repairs may be necessary, depending on $f$.

	Jargon:
		

	Gloss Keywords:
		Word: log mean, In Sense: 
		Word: logarithm mean, In Sense: 
		Word: MVT mean, In Sense: Mean-Value Theorem mean
		Word: forward-difference-quotient mean, In Sense: 

	Place Keywords:


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