Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:52768 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.89) (envelope-from ) id 1f2Sz6-0001mv-Du for jbovlaste-admin@lojban.org; Sat, 31 Mar 2018 19:44:47 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Sat, 31 Mar 2018 19:44:44 -0700 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word cnanlime -- By krtisfranks Date: Sat, 31 Mar 2018 19:44:44 -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 "cnanlime" in the language "English". Differences: 5,5c5,5 < Possibly dimensionful. If the cardinality of $x_2$ is $n$, then the cardinality of $x_4$ is also $n$ and, moreover, the weights default to $1/n$ each. If $x_3$ is a single extended-real numb [...] Content analysis details: (3.1 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: 0.0009] 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 "cnanlime" in the language "English". Differences: 5,5c5,5 < Possibly dimensionful. If the cardinality of $x_2$ is $n$, then the cardinality of $x_4$ is also $n$ and, moreover, the weights default to $1/n$ each. If $x_3$ is a single extended-real number $p$, then $x_3 = (p, p-1)$ also. If $x_3 = (p, q)$ validly, then $x_1 =$Sum$(w_i y_i^p, i$ in Set$(1,...,n))/$Sum$(w_i y_i^q, i$ in Set$(1,...,n))$, where $y_i$ is the $i$th term of $x_2$ for all $i$, $w_i$ is the $i$th term of $x_4$ for all $i$, and $n$ is the cardinality of $x_2$ (and thus $x_4$). If $x_3$ equals positive infinity ({ma'uci'i}), then the result $x_1$ is the maximum of the data $x_2$; if $x_3$ equals negative infinity ({ni'uci'i}), then the result $x_1$ is the minimum of the data $x_2$. --- > Possibly dimensionful. If the cardinality of $x_2$ is $n$, then the cardinality of $x_4$ is also $n$ and, moreover, the weights default to $1/n$ each. If $x_3$ is a single extended-real number $p$, then $x_3 = (p, p-1)$ also. If $x_3 = (p, q)$ validly for real $p$&$q$, then $x_1 =$Sum$(w_i y_i^p, i$ in Set$(1,...,n))/$Sum$(w_i y_i^q, i$ in Set$(1,...,n))$, where $y_i$ is the $i$th term of $x_2$ for all $i$, $w_i$ is the $i$th term of $x_4$ for all $i$, and $n$ is the cardinality of $x_2$ (and thus $x_4$). If $x_3$ equals positive infinity ({ma'uci'i}), then the result $x_1$ is the maximum of the data $x_2$; if $x_3$ equals negative infinity ({ni'uci'i}), then the result $x_1$ is the minimum of the data $x_2$. Old Data: Definition: $x_1$ is the generalized weighted Lehmer mean of data $x_2$ (completely specified ordered multiset/list of numbers) of Lehmer order $x_3$ (either a single extended-real number xor an ordered pair of two extended-real numbers) with weights $x_4$ (completely specified ordered multiset/list of numbers with the same cardinality as $x_2$; defaults according to the Notes). Notes: Possibly dimensionful. If the cardinality of $x_2$ is $n$, then the cardinality of $x_4$ is also $n$ and, moreover, the weights default to $1/n$ each. If $x_3$ is a single extended-real number $p$, then $x_3 = (p, p-1)$ also. If $x_3 = (p, q)$ validly, then $x_1 =$Sum$(w_i y_i^p, i$ in Set$(1,...,n))/$Sum$(w_i y_i^q, i$ in Set$(1,...,n))$, where $y_i$ is the $i$th term of $x_2$ for all $i$, $w_i$ is the $i$th term of $x_4$ for all $i$, and $n$ is the cardinality of $x_2$ (and thus $x_4$). If $x_3$ equals positive infinity ({ma'uci'i}), then the result $x_1$ is the maximum of the data $x_2$; if $x_3$ equals negative infinity ({ni'uci'i}), then the result $x_1$ is the minimum of the data $x_2$. Jargon: Gloss Keywords: Word: contraharmonic mean, In Sense: Word: Lehmer average, In Sense: Word: Lehmer mean, In Sense: Place Keywords: New Data: Definition: $x_1$ is the generalized weighted Lehmer mean of data $x_2$ (completely specified ordered multiset/list of numbers) of Lehmer order $x_3$ (either a single extended-real number xor an ordered pair of two extended-real numbers) with weights $x_4$ (completely specified ordered multiset/list of numbers with the same cardinality as $x_2$; defaults according to the Notes). Notes: Possibly dimensionful. If the cardinality of $x_2$ is $n$, then the cardinality of $x_4$ is also $n$ and, moreover, the weights default to $1/n$ each. If $x_3$ is a single extended-real number $p$, then $x_3 = (p, p-1)$ also. If $x_3 = (p, q)$ validly for real $p$&$q$, then $x_1 =$Sum$(w_i y_i^p, i$ in Set$(1,...,n))/$Sum$(w_i y_i^q, i$ in Set$(1,...,n))$, where $y_i$ is the $i$th term of $x_2$ for all $i$, $w_i$ is the $i$th term of $x_4$ for all $i$, and $n$ is the cardinality of $x_2$ (and thus $x_4$). If $x_3$ equals positive infinity ({ma'uci'i}), then the result $x_1$ is the maximum of the data $x_2$; if $x_3$ equals negative infinity ({ni'uci'i}), then the result $x_1$ is the minimum of the data $x_2$. Jargon: Gloss Keywords: Word: contraharmonic mean, In Sense: Word: Lehmer average, In Sense: Word: Lehmer mean, In Sense: Place Keywords: You can go to to see it.