Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:35048 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.86) (envelope-from ) id 1awZRR-0006X6-Vm for jbovlaste-admin@lojban.org; Sat, 30 Apr 2016 11:16:38 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Sat, 30 Apr 2016 11:16:33 -0700 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word cpolinomi'a -- By krtisfranks Date: Sat, 30 Apr 2016 11:16:33 -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 edited a definition of "cpolinomi'a" in the language "English". Differences: 2,2c2,2 < $x_1$ is a formal polynomial with coefficients $x2$ (ordered list) of degree $x_3$ over structure/ring $x_4$ (to which coefficients $x_2$ all belong) and in indeterminant $x_5$ --- > $x_1$ is a formal polynomial with coefficients $x2$ (ordered list) of degree $x_3$ (li; nonnegative integer) over structure/ring $x_4$ (to which coefficients $x_2$ all belong) and in indeterminant $x_5$ 5,5c5,5 < If x2 is presented as an ordered list, the entries represent the 'coefficients' of the particular polynomial and are specified in the order such that the ith entry/term is the (i-1)th 'coefficient' for all natural numbers i between 1 and n+1 inclusively; thus, the first entry is the constant term (when treated as a function), the second term is the coefficient of the argument of x5 (when treated as a function), and the nth term is the coefficient of the argument of x5 exponentiated by (n-1). See also: {tefsujme'o} (polynomial function) --- > $x_3$ must be greater than or equal to the number of entries in $x_2$; if these two values are not equal, then the explicitly mentioned entries of $x_2$ are the values of the coefficients as will be described next, starting with the most important one; all the following coefficients (which are not explicitly mentioned) are {xo'ei} (taking appropriate values) until and including once the constant term's coefficient (when understood as a function) is reached. If $x_2$ is presented as an ordered list, the entries represent the 'coefficients' of the particular polynomial and are specified in the order such that the $i$th entry/term is the $(n-i+1)$th 'coefficient', for all natural numbers $i$ between $1$ and $n+1$ inclusively, where the ordering of 'coefficients' is determined by the exponent of the indeterminate associated therewith (when treated as a function); thus, the last entry is the constant term (when treated as a function), the penultimate term is the coefficient of the argument of $x_5$ (when treated as a function), and the first term is the coefficient of the argument [...] 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 "cpolinomi'a" in the language "English". Differences: 2,2c2,2 < $x_1$ is a formal polynomial with coefficients $x2$ (ordered list) of degree $x_3$ over structure/ring $x_4$ (to which coefficients $x_2$ all belong) and in indeterminant $x_5$ --- > $x_1$ is a formal polynomial with coefficients $x2$ (ordered list) of degree $x_3$ (li; nonnegative integer) over structure/ring $x_4$ (to which coefficients $x_2$ all belong) and in indeterminant $x_5$ 5,5c5,5 < If x2 is presented as an ordered list, the entries represent the 'coefficients' of the particular polynomial and are specified in the order such that the ith entry/term is the (i-1)th 'coefficient' for all natural numbers i between 1 and n+1 inclusively; thus, the first entry is the constant term (when treated as a function), the second term is the coefficient of the argument of x5 (when treated as a function), and the nth term is the coefficient of the argument of x5 exponentiated by (n-1). See also: {tefsujme'o} (polynomial function) --- > $x_3$ must be greater than or equal to the number of entries in $x_2$; if these two values are not equal, then the explicitly mentioned entries of $x_2$ are the values of the coefficients as will be described next, starting with the most important one; all the following coefficients (which are not explicitly mentioned) are {xo'ei} (taking appropriate values) until and including once the constant term's coefficient (when understood as a function) is reached. If $x_2$ is presented as an ordered list, the entries represent the 'coefficients' of the particular polynomial and are specified in the order such that the $i$th entry/term is the $(n-i+1)$th 'coefficient', for all natural numbers $i$ between $1$ and $n+1$ inclusively, where the ordering of 'coefficients' is determined by the exponent of the indeterminate associated therewith (when treated as a function); thus, the last entry is the constant term (when treated as a function), the penultimate term is the coefficient of the argument of $x_5$ (when treated as a function), and the first term is the coefficient of the argument of $x_5$ exponentiated by $n$ (which is the degree of the polynomial). See also: {tefsujme'o} (polynomial function) Old Data: Definition: $x_1$ is a formal polynomial with coefficients $x2$ (ordered list) of degree $x_3$ over structure/ring $x_4$ (to which coefficients $x_2$ all belong) and in indeterminant $x_5$ Notes: If x2 is presented as an ordered list, the entries represent the 'coefficients' of the particular polynomial and are specified in the order such that the ith entry/term is the (i-1)th 'coefficient' for all natural numbers i between 1 and n+1 inclusively; thus, the first entry is the constant term (when treated as a function), the second term is the coefficient of the argument of x5 (when treated as a function), and the nth term is the coefficient of the argument of x5 exponentiated by (n-1). See also: {tefsujme'o} (polynomial function) Jargon: Gloss Keywords: Word: coefficient, In Sense: polynomial Word: coefficient ring, In Sense: of polynomial Word: indeterminant, In Sense: of formal polynomial Word: polynomial, In Sense: formal, ring element (not as: a function or a funcion evaluated at a particular input value) Place Keywords: Word: degree, In Sense: polynomial, For Place: 1 New Data: Definition: $x_1$ is a formal polynomial with coefficients $x2$ (ordered list) of degree $x_3$ (li; nonnegative integer) over structure/ring $x_4$ (to which coefficients $x_2$ all belong) and in indeterminant $x_5$ Notes: $x_3$ must be greater than or equal to the number of entries in $x_2$; if these two values are not equal, then the explicitly mentioned entries of $x_2$ are the values of the coefficients as will be described next, starting with the most important one; all the following coefficients (which are not explicitly mentioned) are {xo'ei} (taking appropriate values) until and including once the constant term's coefficient (when understood as a function) is reached. If $x_2$ is presented as an ordered list, the entries represent the 'coefficients' of the particular polynomial and are specified in the order such that the $i$th entry/term is the $(n-i+1)$th 'coefficient', for all natural numbers $i$ between $1$ and $n+1$ inclusively, where the ordering of 'coefficients' is determined by the exponent of the indeterminate associated therewith (when treated as a function); thus, the last entry is the constant term (when treated as a function), the penultimate term is the coefficient of the argument of $x_5$ (when treated as a function), and the first term is the coefficient of the argument of $x_5$ exponentiated by $n$ (which is the degree of the polynomial). See also: {tefsujme'o} (polynomial function) Jargon: Gloss Keywords: Word: coefficient, In Sense: polynomial Word: coefficient ring, In Sense: of polynomial Word: indeterminant, In Sense: of formal polynomial Word: polynomial, In Sense: formal, ring element (not as: a function or a funcion evaluated at a particular input value) Place Keywords: Word: degree, In Sense: polynomial, For Place: 1 You can go to to see it.