Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:33928 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.86) (envelope-from ) id 1awZAu-0005z1-RY for jbovlaste-admin@lojban.org; Sat, 30 Apr 2016 10:59:30 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Sat, 30 Apr 2016 10:59:28 -0700 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Added At Word po'i'oi -- By krtisfranks Date: Sat, 30 Apr 2016 10:59:28 -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 added a definition of "po'i'oi" in the language "English". New Data: Definition: mekso (2 or 3)-ary operator: convert to polynomial; $X_1$ (ordered list of algebraic structure (probably field) elements) forms the (ordered list of) coefficients of a polynomial/Laurent-like series with respect to indeterminate $X_2$ under ordering rule $X_3$ (default for finite list: the first entry is the coefficient of the highest-degree term and each subsequent entry is the next lesser-degree coefficient via counting by ones and wherein the last entry is the constant term) [...] 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 added a definition of "po'i'oi" in the language "English". New Data: Definition: mekso (2 or 3)-ary operator: convert to polynomial; $X_1$ (ordered list of algebraic structure (probably field) elements) forms the (ordered list of) coefficients of a polynomial/Laurent-like series with respect to indeterminate $X_2$ under ordering rule $X_3$ (default for finite list: the first entry is the coefficient of the highest-degree term and each subsequent entry is the next lesser-degree coefficient via counting by ones and wherein the last entry is the constant term) Notes: In English, there is no good way to distinguish between $x^2 + 2x$ as a function and as a number; typical notation would demand that it is a number but abuse must be adopted since no easy alternative exists for its expression as a function (such as when it is being defined; mapping notation is one of the best options, but is cumbersome). Lojban now allows for such functionality: just apply this word to the ordered list (1,2,0) and do not fill the second terbri ($X_2$: the indeterminate). This word can also be viewed as creating an object in a ring. Termination of the list is extremely important; under normal interpretations, list entries can themselves have operations applied internally; moreover, multiple indetermimates can be introduced by careful application of this word to a list wherein each entry is itself treated as a polynomial. See also: {cpolinomi'a}. Jargon: Gloss Keywords: Word: polynomial coefficient list convert, In Sense: Word: convert list to polynomial, In Sense: Place Keywords: You can go to to see it.