From: "Apache" <apache@digitalkingdom.org>
Date: Sun, 03 Aug 2014 22:13:47 -0700
To: webmaster@lojban.org, curtis289@att.net
Subject: [jvsw] Definition Edited At Word di'ei'o'au -- By krtisfranks
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In jbovlaste, the user krtisfranks has edited a
definition of "di'ei'o'au" in the language "English".

Differences:

5,5c5,5
< 		$a,b$ are arithmetic functions, $c$ is an integer (the output is defined for at least strictly positive integers $c$). $(f*g)(n) = \sum_{(a,b) \in (\Z^{+} \cross \Z^{+}) \cap \{ab\,=\,n, a \neq b \}}f(a)g(b)$.
---
> 		$a,b$ are arithmetic functions, $c$ is an integer (the output is defined for at least strictly positive integers $c$). $(a*b)(c)$ is given by the sum (over all of the distinct ordered pairs $(n,m)$ belonging to the Cartesian product of the set of all strictly positive integers with itself, such that $n$ is not equal to $m$ and such that $nm = c$) of $a(n)b(m)$ (where adjacency represents typical multiplication).
11,11d10
< 		Word: convolution, In Sense: Dirichlet; arithmetic functions
\n12a12,12
\n> 		Word: convolution, In Sense: Dirichlet; arithmetic functions


Old Data:

	Definition:
		mathematical ternary operator: Dirichlet convolution $(a*b)(c)$

	Notes:
		$a,b$ are arithmetic functions, $c$ is an integer (the output is defined for at least strictly positive integers $c$). $(f*g)(n) = \sum_{(a,b) \in (\Z^{+} \cross \Z^{+}) \cap \{ab\,=\,n, a \neq b \}}f(a)g(b)$.

	Jargon:
		

	Gloss Keywords:
		Word: convolution, In Sense: Dirichlet; arithmetic functions
		Word: Dirichlet convolution, In Sense: 

	Place Keywords:


New Data:

	Definition:
		mathematical ternary operator: Dirichlet convolution $(a*b)(c)$

	Notes:
		$a,b$ are arithmetic functions, $c$ is an integer (the output is defined for at least strictly positive integers $c$). $(a*b)(c)$ is given by the sum (over all of the distinct ordered pairs $(n,m)$ belonging to the Cartesian product of the set of all strictly positive integers with itself, such that $n$ is not equal to $m$ and such that $nm = c$) of $a(n)b(m)$ (where adjacency represents typical multiplication).

	Jargon:
		

	Gloss Keywords:
		Word: Dirichlet convolution, In Sense: 
		Word: convolution, In Sense: Dirichlet; arithmetic functions

	Place Keywords:


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