Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:55319 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.80.1) (envelope-from ) id 1XwiuS-0006V8-TP; Thu, 04 Dec 2014 18:46:22 -0800 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Thu, 04 Dec 2014 18:46:20 -0800 From: "Apache" Date: Thu, 04 Dec 2014 18:46:20 -0800 To: webmaster@lojban.org, curtis289@att.net Subject: [jvsw] Definition Added At Word te'i'ai -- By krtisfranks Bcc: jbovlaste-admin@lojban.org Message-ID: <54811c7c.MCwwfDoEntrHv1RG%webmaster@lojban.org> User-Agent: Heirloom mailx 12.5 7/5/10 MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: quoted-printable 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 @@CONTACT_ADDRESS@@ for details. Content preview: In jbovlaste, the user krtisfranks has added a definition of "te'i'ai" in the language "English". New Data: Definition: 6-ary mekso/mathematical operator: Heaviside function/step/Theta function of a, of order b, in structure c, using distribution d, within approximated limit e, with value f at 0 [...] 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 "te'i'ai" in the language "English". New Data: =09Definition: =09=096-ary mekso/mathematical operator: Heaviside function/step/Theta = function of a, of order b, in structure c, using distribution d, within= approximated limit e, with value f at 0 =09Notes: =09=09Explanation: A sequence/family of (strictly monotonically increas= ingly, ordered) indexed function distributions (d), each of which is of= /with respect to/in variable/indeterminant a, is considered; they must = have the property that, as the index increases, they converge to some v= alue (described later and determined by b) for all a. This happens on s= tructure c, which defines what various values and limits mean. b is the= 'order' of the result of this convergence (so that it is the bth-order= integral (equivalently, -bth-order derivative) of the Heaviside step/T= heta function with respect to a so that b =3D -1 yields the Dirac delta= 'function' centered/with interesting point at 0, b =3D 0 yields the He= aviside step/Theta function with respect to a centered at/with interest= ing point 0, etc.). Natural numbers (or 0) for b yield yield a 'specia= l' polynomial (let us call it p) of that order in indeterminant a to th= e right and 0 to the left so that p(a) =3D a^b Theta(a). Input e is for= when the particular functions in d are of interest and only e of them = have been computed (so that, for finite e, the output is not exactly th= e bth order Heaviside function); in other words, the limit of the famil= y indices is being taken to e; this is of particular importance for neg= ative values of b: |b| > 1, since they will not be identically 0 in som= e sense (else, all information is lost about the special structure/natu= re of this function). The contextless defaults are: b =3D 0, c is the f= ield of real numbers, d is bth-order integral of ((1 + y + z erf(k a/(2= ^(1/2))))/2)-like functions that are properly normalized and are of pro= per height, e is infinity (countable). Heaviside(0,0) =3D 1/2 =3D f_0 i= s typical and is a contextless default; for values of b other than 0, f= _b =3D 0 is the contextless default. =09Jargon: =09=09 =09Gloss Keywords: =09=09Word: Heaviside function, In Sense: mekso operator; of any order =09=09Word: Dirac delta, In Sense: mekso operator =09=09Word: Theta function, In Sense: mekso operator; Heaviside; step f= unction given by family of distributions =09=09Word: step function, In Sense: mekso operator; Heaviside =09Place Keywords: You can go to to see it.