Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:35220 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.89) (envelope-from ) id 1f2swU-0003Aa-R1 for jbovlaste-admin@lojban.org; Sun, 01 Apr 2018 23:27:48 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Sun, 01 Apr 2018 23:27:46 -0700 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word fi'au -- By krtisfranks Date: Sun, 1 Apr 2018 23:27:46 -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 "fi'au" in the language "English". Differences: 11,12c11,12 < Word: continued fraction, In Sense: < Word: Kettenbruch, In Sense: --- > Word: continued fraction, In Sense: operator/big operator K > Word: Kettenbruch, In Sense: operator/big operator [...] 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 "fi'au" in the language "English". Differences: 11,12c11,12 < Word: continued fraction, In Sense: < Word: Kettenbruch, In Sense: --- > Word: continued fraction, In Sense: operator/big operator K > Word: Kettenbruch, In Sense: operator/big operator K Old Data: Definition: mekso operator: continued fraction, Kettenbruch notation; for ordered input $(X_1, X_2, X_3, X_4)$, where: $X_1$ is an ordered pair of functions and $X_2$ is a free or dummy variable/input/index which ranges through set $X_3$ in order(ing) $X_4$, the result is $K_{(X_2, (X_3, X_4))} (X_1(X_2))$ for Kettenbruch notation $K$. Notes: $X_1$ will be an ordered pair of functions defined on $X_3$ and with input $X_2$. Let $X_1 = (a, b)$ where '$a$' and $b$ are each functions (defined on X_3), $X_3$ be the set of all nonnegative integers which are strictly less than some positive integer or positive infinity (denoted by "n+1") as determined by the context/problem, and $X_4$ be the standard ordering on $X_3$; then the output will be: a(0) + b(0)/(a(1) + b(1)/(a(2) + b(2)/(.../(a(n-1) + b(n-1)/(a(n) + b(n)))))), where division has higher operator priority than addition and where, if n is positive infinity, then the expression never terminates and convergence of subfractions is necessary for well-definition; the inputs of '$a$' and $b$ technically can be ordered tuples so long as they symbolically include $X_2$ and all other parameters are specified.  In general, $a(min(X_3))$, for $min$ being defined according to the ordering $X_4$, will be the formally 'integer'-part of the expression (even if it evaluates to a fraction) - in other words, it is the number which is entirely outside of the nested fractions. This operator is intended to be maximally general; some definition for $X_3$ being the empty set can be devised, or '$a$' or $b$ could be function-valued or otherwise exotic-valued functions (so long as their outputs have sum, division, and closure properties), etc. See also: "{se'au}". If diphthong "eu" is ever accepted into Lojban, this definition would preferably be moved to "{fi'eu}" (because the "eu" would also be etymologically tied to "Kettenbruch", and the "au" diphthong is more basic and should be reserved for higher-priority words). Jargon: Gloss Keywords: Word: continued fraction, In Sense: Word: Kettenbruch, In Sense: Place Keywords: New Data: Definition: mekso operator: continued fraction, Kettenbruch notation; for ordered input $(X_1, X_2, X_3, X_4)$, where: $X_1$ is an ordered pair of functions and $X_2$ is a free or dummy variable/input/index which ranges through set $X_3$ in order(ing) $X_4$, the result is $K_{(X_2, (X_3, X_4))} (X_1(X_2))$ for Kettenbruch notation $K$. Notes: $X_1$ will be an ordered pair of functions defined on $X_3$ and with input $X_2$. Let $X_1 = (a, b)$ where '$a$' and $b$ are each functions (defined on X_3), $X_3$ be the set of all nonnegative integers which are strictly less than some positive integer or positive infinity (denoted by "n+1") as determined by the context/problem, and $X_4$ be the standard ordering on $X_3$; then the output will be: a(0) + b(0)/(a(1) + b(1)/(a(2) + b(2)/(.../(a(n-1) + b(n-1)/(a(n) + b(n)))))), where division has higher operator priority than addition and where, if n is positive infinity, then the expression never terminates and convergence of subfractions is necessary for well-definition; the inputs of '$a$' and $b$ technically can be ordered tuples so long as they symbolically include $X_2$ and all other parameters are specified.  In general, $a(min(X_3))$, for $min$ being defined according to the ordering $X_4$, will be the formally 'integer'-part of the expression (even if it evaluates to a fraction) - in other words, it is the number which is entirely outside of the nested fractions. This operator is intended to be maximally general; some definition for $X_3$ being the empty set can be devised, or '$a$' or $b$ could be function-valued or otherwise exotic-valued functions (so long as their outputs have sum, division, and closure properties), etc. See also: "{se'au}". If diphthong "eu" is ever accepted into Lojban, this definition would preferably be moved to "{fi'eu}" (because the "eu" would also be etymologically tied to "Kettenbruch", and the "au" diphthong is more basic and should be reserved for higher-priority words). Jargon: Gloss Keywords: Word: continued fraction, In Sense: operator/big operator K Word: Kettenbruch, In Sense: operator/big operator K Place Keywords: You can go to to see it.