Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:51386 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.87) (envelope-from ) id 1cgdq7-0000V7-32 for jbovlaste-admin@lojban.org; Wed, 22 Feb 2017 12:48:48 -0800 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Wed, 22 Feb 2017 12:48:43 -0800 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word facni -- By krtisfranks Date: Wed, 22 Feb 2017 12:48:43 -0800 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 "facni" in the language "English". Differences: 2,2c2,2 < $x_1$ is an n-ary operator which is distributive/linear/homomorphic in or over space/structure $x_2$, under conditions/on (or endowing) set/thereby creating a new space or structure $x_3$; $x_1$ distributes over/through all of the operators of $x_2$. --- > $x_1$ is an n-ary operator/map which is distributive/linear/homomorphic in or over or from space/structure $x_2$, mapping to space or structure $x_3$; $x_1$ distributes over/through all of the operators of $x_2$. 5,5c5,5 < $x_2$ cannot be a mere set; it must be a structure which is a set endowed with at least one operator. For any operator of $x_2$, $x_1$ is commutative with it with respect to functional composition ({fa'ai}) when restricted to the subset which underlies $x_3$. $x_1$ is linear/a linear operator; $x_1$ is a homomorphism; $x_1$ distributes. See also: {socni}, {cajni}, {sezni}, {dukni}; {fa'ai}; {fatri}. --- > $x_2$ and $x_3$ cannot merely be setd; they must be structures which each are a set endowed with at least one operator each; the ith operator endowing one sosce corresponds to exactly the ith operator endowing the other space. For any operator of $x_2$, $x_1$ is commutative with it with respect to functional composition ({fa'ai}) when the (other) operator is 'translated' to the corresponding operator of $x_3$ appropriately. $x_1$ is linear/a linear operator; $x_1$ is a homomorphism; $x_1$ distributes. $x_2$ is homomorphic with $x_3$ under $x_1$; they need not be identical (in fact, their respective operators need not even be identical, just 'homomorphically similar'). For "distributivity"/"distributive property", "linearity of operator", or "homomorphicity of operator", use "ka(m)( )facni" with $x_1$ filled with "{ce'u}"; for "homomorphicity of spaces", use the same thing, but with $x_2$ or $x_3$ filled with "{ce'u}". See also: {socni}, {cajni}, {sezni}, {dukni}; {fa'ai}; {fatri}. 12,13d11 < Word: homomorphism, In Sense: algebra < Word: linear function, In Sense: linear algebra \n15a14,15 \n> Word: homomorphism, In Sense: algebra > [...] Content analysis details: (0.5 points, 5.0 required) pts rule name description ---- ---------------------- -------------------------------------------------- 0.0 URIBL_BLOCKED ADMINISTRATOR NOTICE: The query to URIBL was blocked. See http://wiki.apache.org/spamassassin/DnsBlocklists#dnsbl-block for more information. [URIs: lojban.org] 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 "facni" in the language "English". Differences: 2,2c2,2 < $x_1$ is an n-ary operator which is distributive/linear/homomorphic in or over space/structure $x_2$, under conditions/on (or endowing) set/thereby creating a new space or structure $x_3$; $x_1$ distributes over/through all of the operators of $x_2$. --- > $x_1$ is an n-ary operator/map which is distributive/linear/homomorphic in or over or from space/structure $x_2$, mapping to space or structure $x_3$; $x_1$ distributes over/through all of the operators of $x_2$. 5,5c5,5 < $x_2$ cannot be a mere set; it must be a structure which is a set endowed with at least one operator. For any operator of $x_2$, $x_1$ is commutative with it with respect to functional composition ({fa'ai}) when restricted to the subset which underlies $x_3$. $x_1$ is linear/a linear operator; $x_1$ is a homomorphism; $x_1$ distributes. See also: {socni}, {cajni}, {sezni}, {dukni}; {fa'ai}; {fatri}. --- > $x_2$ and $x_3$ cannot merely be setd; they must be structures which each are a set endowed with at least one operator each; the ith operator endowing one sosce corresponds to exactly the ith operator endowing the other space. For any operator of $x_2$, $x_1$ is commutative with it with respect to functional composition ({fa'ai}) when the (other) operator is 'translated' to the corresponding operator of $x_3$ appropriately. $x_1$ is linear/a linear operator; $x_1$ is a homomorphism; $x_1$ distributes. $x_2$ is homomorphic with $x_3$ under $x_1$; they need not be identical (in fact, their respective operators need not even be identical, just 'homomorphically similar'). For "distributivity"/"distributive property", "linearity of operator", or "homomorphicity of operator", use "ka(m)( )facni" with $x_1$ filled with "{ce'u}"; for "homomorphicity of spaces", use the same thing, but with $x_2$ or $x_3$ filled with "{ce'u}". See also: {socni}, {cajni}, {sezni}, {dukni}; {fa'ai}; {fatri}. 12,13d11 < Word: homomorphism, In Sense: algebra < Word: linear function, In Sense: linear algebra \n15a14,15 \n> Word: homomorphism, In Sense: algebra > Word: linear function, In Sense: linear algebra 16a17,17 \n> Word: homomorphicity, In Sense: Old Data: Definition: $x_1$ is an n-ary operator which is distributive/linear/homomorphic in or over space/structure $x_2$, under conditions/on (or endowing) set/thereby creating a new space or structure $x_3$; $x_1$ distributes over/through all of the operators of $x_2$. Notes: $x_2$ cannot be a mere set; it must be a structure which is a set endowed with at least one operator. For any operator of $x_2$, $x_1$ is commutative with it with respect to functional composition ({fa'ai}) when restricted to the subset which underlies $x_3$. $x_1$ is linear/a linear operator; $x_1$ is a homomorphism; $x_1$ distributes. See also: {socni}, {cajni}, {sezni}, {dukni}; {fa'ai}; {fatri}. Jargon: Gloss Keywords: Word: distributive function, In Sense: Word: homomorphism, In Sense: algebra Word: linear function, In Sense: linear algebra Word: distributive operator, In Sense: Word: distributive property, In Sense: Word: linear operator, In Sense: Place Keywords: New Data: Definition: $x_1$ is an n-ary operator/map which is distributive/linear/homomorphic in or over or from space/structure $x_2$, mapping to space or structure $x_3$; $x_1$ distributes over/through all of the operators of $x_2$. Notes: $x_2$ and $x_3$ cannot merely be setd; they must be structures which each are a set endowed with at least one operator each; the ith operator endowing one sosce corresponds to exactly the ith operator endowing the other space. For any operator of $x_2$, $x_1$ is commutative with it with respect to functional composition ({fa'ai}) when the (other) operator is 'translated' to the corresponding operator of $x_3$ appropriately. $x_1$ is linear/a linear operator; $x_1$ is a homomorphism; $x_1$ distributes. $x_2$ is homomorphic with $x_3$ under $x_1$; they need not be identical (in fact, their respective operators need not even be identical, just 'homomorphically similar'). For "distributivity"/"distributive property", "linearity of operator", or "homomorphicity of operator", use "ka(m)( )facni" with $x_1$ filled with "{ce'u}"; for "homomorphicity of spaces", use the same thing, but with $x_2$ or $x_3$ filled with "{ce'u}". See also: {socni}, {cajni}, {sezni}, {dukni}; {fa'ai}; {fatri}. Jargon: Gloss Keywords: Word: distributive function, In Sense: Word: distributive operator, In Sense: Word: distributive property, In Sense: Word: homomorphism, In Sense: algebra Word: linear function, In Sense: linear algebra Word: linear operator, In Sense: Word: homomorphicity, In Sense: Place Keywords: You can go to to see it.