Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:59044 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.89) (envelope-from ) id 1f36sa-0000PO-I0 for jbovlaste-admin@lojban.org; Mon, 02 Apr 2018 14:20:42 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Mon, 02 Apr 2018 14:20:40 -0700 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word facni -- By krtisfranks Date: Mon, 2 Apr 2018 14:20:40 -0700 MIME-Version: 1.0 Content-Type: text/plain; charset="UTF-8" Message-Id: X-Spam-Score: 3.1 (+++) X-Spam_score: 3.1 X-Spam_score_int: 31 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: 5,5c5,5 < $x_2$ 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 it [...] Content analysis details: (3.1 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 2.6 TO_NO_BRKTS_DYNIP To: lacks brackets and dynamic rDNS In jbovlaste, the user krtisfranks has edited a definition of "facni" in the language "English". Differences: 5,5c5,5 < $x_2$ 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}. --- > $x_2$ and $x_3$ cannot merely be sets; 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}. This is a structure-preserving function, and thus is an example of a {stodraunju}. Old 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 $x_3$, thereby producing a new space/structure $x_4$ which is the 'union' of $x_2$ and $x_3$ endowed with $x_1$; $x_1$ 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: homomorphicity, In Sense: Word: homomorphism, In Sense: algebra Word: linear function, In Sense: linear algebra 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 $x_3$, thereby producing a new space/structure $x_4$ which is the 'union' of $x_2$ and $x_3$ endowed with $x_1$; $x_1$ distributes over/through all of the operators of $x_2$. Notes: $x_2$ and $x_3$ cannot merely be sets; 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}. This is a structure-preserving function, and thus is an example of a {stodraunju}. Jargon: Gloss Keywords: Word: distributive function, In Sense: Word: distributive operator, In Sense: Word: distributive property, In Sense: Word: homomorphicity, In Sense: Word: homomorphism, In Sense: algebra Word: linear function, In Sense: linear algebra Word: linear operator, In Sense: Place Keywords: You can go to to see it.