From: "Apache" <apache@digitalkingdom.org>
To: curtis289@att.net
Reply-To: webmaster@lojban.org
Subject: [jvsw] Definition Added At Word modju -- By krtisfranks
Date: Tue, 25 Jul 2017 19:54:38 -0700
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 Content preview:  In jbovlaste, the user krtisfranks has added a definition
   of "modju" in the language "English". New Data: Definition: $x_1$ (li; number)
    is congruent to $x_2$ (li; number; see description for canonical/traditional/contextless
    default usage) modulo $x_3$ (li; number); $\frac{(x_1 - x_2)}{x_3}$ is an
    integer. [...] 
 
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In jbovlaste, the user krtisfranks has added a
definition of "modju" in the language "English".

New Data:

	Definition:
		$x_1$ (li; number) is congruent to $x_2$ (li; number; see description for canonical/traditional/contextless default usage) modulo $x_3$ (li; number); $\frac{(x_1 - x_2)}{x_3}$ is an integer.

	Notes:
		In order to be clear (in case of poor display), ($x_1$ - $x_2$)/$x_3$ is an integer, possibly (but not necessarily) nonpositive. Traditionally, but not necessarily, $x_3$ is a positive integer and is called "(the) modulus"; if $x_3 = 1$, then $x_1$ and $x_2$ differ only by an integer amount - in other words, they have the same fractional part. Technically, $x_1$ and $x_2$ are symmetric under mutual exchange and can even be equivalent; however, in a manner morally analogous to "{srana}", $x_2$ is canonically/traditionally either the common remainder or the least remainder, and this may even be considered as its contextless default meaning (such as in "lo se modju"). See also: {dilcu}, {dunli}, {mintu}, {simsa}, {panra}.

	Jargon:
		

	Gloss Keywords:
		Word: modulo, In Sense: divison remainder congruence
		Word: modulus, In Sense: of a congruence relation
		Word: congruent, In Sense: modulo

	Place Keywords:


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