Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:35004 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.89) (envelope-from ) id 1fBCKq-0003nK-RI for jbovlaste-admin@lojban.org; Tue, 24 Apr 2018 21:47:18 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Tue, 24 Apr 2018 21:47:16 -0700 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word tei'au -- By krtisfranks Date: Tue, 24 Apr 2018 21:47:16 -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 "tei'au" in the language "English". Differences: 2,2c2,2 < 4-ary mekso operator: Taylor expansion/polynomial term; for ordered input $(X_1, X_2, X_3, X_4)$, output is the $X_3$th Taylor polynomial term of at-least-$X_3$-smooth function $X_2$ which w [...] 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: 0.0000] 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 "tei'au" in the language "English". Differences: 2,2c2,2 < 4-ary mekso operator: Taylor expansion/polynomial term; for ordered input $(X_1, X_2, X_3, X_4)$, output is the $X_3$th Taylor polynomial term of at-least-$X_3$-smooth function $X_2$ which was expanded around point $X_4$ and which is evaluated at point $X_1$, namely $(1/(X_3!)) (D^{X_3}(X_2))(X_4) (X_1-X_4)^{X_3}$. --- > 4-ary mekso operator: Taylor expansion/polynomial term; for ordered input $(X_1, X_2, X_3, X_4)$, output is the $X_3$th Taylor polynomial term of at-least-$X_3$-smooth function $X_2$ which was expanded around point $X_4$ and which is evaluated at point $X_1$, namely $(1/(X_3!)) * (D^{X_3}(X_2))(X_4) * (X_1-X_4)^{X_3}$. 5,5c5,5 < All of the usual assumptions must apply in order to be well-defined. $X_3$ must be a nonnegative integer. $X_2$ must be a function with at least $X_3$ derivatives on the interval disc/interval defined by $X_1$ and $X_4$ such that said derivative takes values for which the other operators make sense (and finity is usually assumed). $X_1$ and $X_4$ must be elements of the domain of $X_2$ (and the $X_3$th derivative thereof in the latter case). --- > All of the usual assumptions must apply in order to be well-defined. $X_3$ must be a nonnegative integer. $X_2$ must be a function with at least $X_3$ derivatives on the interval disc/interval defined by $X_1$ and $X_4$ such that said derivative takes values for which the other operators make sense (and finity is usually assumed). $X_1$ and $X_4$ must be elements of the domain of $X_2$ (and the $X_3$th derivative thereof in the latter case). The notation "$(D^{X_3}(X_2))(X_4)$" represents the $X_3$th derivative of $X_2$, applied to $X_4$; the "$!$" notation represents the factorial. 11,11d10 < Word: Taylor term, In Sense: \n13a13,13 \n> Word: Taylor term, In Sense: Old Data: Definition: 4-ary mekso operator: Taylor expansion/polynomial term; for ordered input $(X_1, X_2, X_3, X_4)$, output is the $X_3$th Taylor polynomial term of at-least-$X_3$-smooth function $X_2$ which was expanded around point $X_4$ and which is evaluated at point $X_1$, namely $(1/(X_3!)) (D^{X_3}(X_2))(X_4) (X_1-X_4)^{X_3}$. Notes: All of the usual assumptions must apply in order to be well-defined. $X_3$ must be a nonnegative integer. $X_2$ must be a function with at least $X_3$ derivatives on the interval disc/interval defined by $X_1$ and $X_4$ such that said derivative takes values for which the other operators make sense (and finity is usually assumed). $X_1$ and $X_4$ must be elements of the domain of $X_2$ (and the $X_3$th derivative thereof in the latter case). Jargon: Gloss Keywords: Word: Taylor term, In Sense: Word: Taylor expansion term, In Sense: Word: Taylor polynomial term, In Sense: Place Keywords: New Data: Definition: 4-ary mekso operator: Taylor expansion/polynomial term; for ordered input $(X_1, X_2, X_3, X_4)$, output is the $X_3$th Taylor polynomial term of at-least-$X_3$-smooth function $X_2$ which was expanded around point $X_4$ and which is evaluated at point $X_1$, namely $(1/(X_3!)) * (D^{X_3}(X_2))(X_4) * (X_1-X_4)^{X_3}$. Notes: All of the usual assumptions must apply in order to be well-defined. $X_3$ must be a nonnegative integer. $X_2$ must be a function with at least $X_3$ derivatives on the interval disc/interval defined by $X_1$ and $X_4$ such that said derivative takes values for which the other operators make sense (and finity is usually assumed). $X_1$ and $X_4$ must be elements of the domain of $X_2$ (and the $X_3$th derivative thereof in the latter case). The notation "$(D^{X_3}(X_2))(X_4)$" represents the $X_3$th derivative of $X_2$, applied to $X_4$; the "$!$" notation represents the factorial. Jargon: Gloss Keywords: Word: Taylor expansion term, In Sense: Word: Taylor polynomial term, In Sense: Word: Taylor term, In Sense: Place Keywords: You can go to to see it.