Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:55592 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.87) (envelope-from ) id 1daCgN-0002gn-9z for jbovlaste-admin@lojban.org; Tue, 25 Jul 2017 20:08:21 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Tue, 25 Jul 2017 20:08:19 -0700 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word modju -- By krtisfranks Date: Tue, 25 Jul 2017 20:08:19 -0700 MIME-Version: 1.0 Content-Type: text/plain; charset="UTF-8" Message-Id: X-Spam-Score: 0.5 (/) X-Spam_score: 0.5 X-Spam_score_int: 5 X-Spam_bar: / X-Spam-Report: Spam detection software, running on the system "stodi.digitalkingdom.org", has NOT identified this incoming email as spam. The original message has been attached to this so you can view it or label similar future email. If you have any questions, see the administrator of that system for details. Content preview: In jbovlaste, the user krtisfranks has edited a definition of "modju" in the language "English". Differences: 5,5c5,5 < 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 strictly positive integer (in particular, $x_3$ is nonzero) 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 residue (the unique element in the space which is congruent to $x_1$ mod $x_3$ and which is greater than or equal to 0 and strictly less than $x_3$) or the minimal residue (denoting the common residue by $c$, the minimal residue is either $c$ xor $c - x_3$, whichever is strictly less than the other in absolute value), and this may even be considered as its contextless default meaning (such as in "lo se modju"). See also: {dilcu}, {dunli}, {mintu}, {simsa}, {panra}. --- > 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 strictly positive integer (in particular, $x_3$ is nonzero) 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 residue (the unique element in the space which is congruent to $x_1$ mod $x_3$ and which is greater than or equal to 0 and strictly less than $x_3$) or the minimal residue (denoting the common residue by $c$, the minimal residue is either $c$ xor $c - x_3$, whichever is strictly less than the other in absolute value), and this may even be considered as its contextless default meaning [...] Content analysis details: (0.5 points, 5.0 required) pts rule name description ---- ---------------------- -------------------------------------------------- 1.4 RCVD_IN_BRBL_LASTEXT RBL: No description available. [173.13.139.235 listed in bb.barracudacentral.org] -1.9 BAYES_00 BODY: Bayes spam probability is 0 to 1% [score: 0.0000] 1.0 RDNS_DYNAMIC Delivered to internal network by host with dynamic-looking rDNS In jbovlaste, the user krtisfranks has edited a definition of "modju" in the language "English". Differences: 5,5c5,5 < 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 strictly positive integer (in particular, $x_3$ is nonzero) 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 residue (the unique element in the space which is congruent to $x_1$ mod $x_3$ and which is greater than or equal to 0 and strictly less than $x_3$) or the minimal residue (denoting the common residue by $c$, the minimal residue is either $c$ xor $c - x_3$, whichever is strictly less than the other in absolute value), and this may even be considered as its contextless default meaning (such as in "lo se modju"). See also: {dilcu}, {dunli}, {mintu}, {simsa}, {panra}. --- > 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 strictly positive integer (in particular, $x_3$ is nonzero) 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 residue (the unique element in the space which is congruent to $x_1$ mod $x_3$ and which is greater than or equal to 0 and strictly less than $x_3$) or the minimal residue (denoting the common residue by $c$, the minimal residue is either $c$ xor $c - x_3$, whichever is strictly less than the other in absolute value), and this may even be considered as its contextless default meaning (such as in "lo se modju"). See also: {dilcu}, {dunli}, {mintu}, {simsa}, {panra}, {dilma} (a particularly close relative and generalization of this word with slightly different focus). This word is essentially identical with {dilcrmadjulu}; consider this word to be its gismu equivalent. It is not the modulus operator; for that, use {veldilcu}. It is a specific type of {terpanryziltolju'i}, although both occupy the word "modulo" in English. Old 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 strictly positive integer (in particular, $x_3$ is nonzero) 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 residue (the unique element in the space which is congruent to $x_1$ mod $x_3$ and which is greater than or equal to 0 and strictly less than $x_3$) or the minimal residue (denoting the common residue by $c$, the minimal residue is either $c$ xor $c - x_3$, whichever is strictly less than the other in absolute value), 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: congruent, In Sense: modulo Word: modulo, In Sense: divison remainder congruence Word: modulus, In Sense: of a congruence relation Place Keywords: 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 strictly positive integer (in particular, $x_3$ is nonzero) 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 residue (the unique element in the space which is congruent to $x_1$ mod $x_3$ and which is greater than or equal to 0 and strictly less than $x_3$) or the minimal residue (denoting the common residue by $c$, the minimal residue is either $c$ xor $c - x_3$, whichever is strictly less than the other in absolute value), and this may even be considered as its contextless default meaning (such as in "lo se modju"). See also: {dilcu}, {dunli}, {mintu}, {simsa}, {panra}, {dilma} (a particularly close relative and generalization of this word with slightly different focus). This word is essentially identical with {dilcrmadjulu}; consider this word to be its gismu equivalent. It is not the modulus operator; for that, use {veldilcu}. It is a specific type of {terpanryziltolju'i}, although both occupy the word "modulo" in English. Jargon: Gloss Keywords: Word: congruent, In Sense: modulo Word: modulo, In Sense: divison remainder congruence Word: modulus, In Sense: of a congruence relation Place Keywords: You can go to to see it.