Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:56931 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.80.1) (envelope-from ) id 1Y53yL-0001sK-8q; Sat, 27 Dec 2014 18:52:50 -0800 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Sat, 27 Dec 2014 18:52:49 -0800 From: "Apache" Date: Sat, 27 Dec 2014 18:52:49 -0800 To: webmaster@lojban.org, curtis289@att.net Subject: [jvsw] Definition Edited At Word be'ei'oi -- By krtisfranks Bcc: jbovlaste-admin@lojban.org Message-ID: <549f7081.CFf9ZRjH7hPGpnss%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 edited a definition of "be'ei'oi" in the language "English". Differences: 5,5c5,5 < x1 must be a positive integer. x2 must be a strictly monotonic increasing function mapping from all of the positive integers to a subset (not necessarily proper) thereof. x3 must be a sequence of natural numbers. x2 without context will default to the same value as x1 (it is simple linear on the set of positive integers), x3 without context will be a sequence all and only of 1's, x4 without context defaults to the set of all non-negative integers. Let p_i be a prime for all i, with p_1 = 2 and the ith prime (in the normal monotonic increasing order) being p_i. Let all other symbols match the aforementioned conditions. Represent the nth term of the sequence x3 by x3_n; represent the function in x2 being applied to the number m by x2(m). Then x1 be'ei'oi x2 boi x3 boi x4 produces the set of all numbers of the form x3_n * (p_1)^(e_1) *...* (p_(x1))^(e_(x1)), where e_j belongs to the intersection of the interval [0, x2(x1)] with x4. --- > x1 must be a positive integer. x2 must be a strictly monotonic increasing function mapping from all of the positive integers to a subset (not necessarily proper) thereof. x3 must be a sequence of natural numbers. x2 without context will default to the same value as x1 (it is simple linear on the set of positive integers), x3 without context will be a sequence all and only of 1's, x4 without context defaults to the set of all non-negative integers. Let p_i be a prime for all i, with p_1 = 2 and the ith prime (in the normal monotonic increasing order) being p_i. Let all other symbols match the aforementioned conditions. Represent the nth term of the sequence x3 by x3_n; represent the function in x2 being applied to the number m by x2(m). Then x1 be'ei'oi x2 boi x3 boi x4 produces the set of all numbers of the form x3_(x1) * (p_1)^(e_1) *...* (p_(x1))^(e_(x1)), where e_j belongs to the intersection of the interval [0, x2(x1)] with x4. [...] 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 "be'ei'oi" in the language "English". Differences: 5,5c5,5 < =09=09x1 must be a positive integer. x2 must be a strictly monotonic = increasing function mapping from all of the positive integers to a subs= et (not necessarily proper) thereof. x3 must be a sequence of natural n= umbers. x2 without context will default to the same value as x1 (it is = simple linear on the set of positive integers), x3 without context will= be a sequence all and only of 1's, x4 without context defaults to the = set of all non-negative integers. Let p_i be a prime for all i, with p_= 1 =3D 2 and the ith prime (in the normal monotonic increasing order) be= ing p_i. Let all other symbols match the aforementioned conditions. Rep= resent the nth term of the sequence x3 by x3_n; represent the function = in x2 being applied to the number m by x2(m). Then x1 be'ei'oi x2 boi = x3 boi x4 produces the set of all numbers of the form x3_n * (p_1)^(e_1= ) *...* (p_(x1))^(e_(x1)), where e_j belongs to the intersection of th= e interval [0, x2(x1)] with x4. --- > =09=09x1 must be a positive integer. x2 must be a strictly monotonic = increasing function mapping from all of the positive integers to a subs= et (not necessarily proper) thereof. x3 must be a sequence of natural n= umbers. x2 without context will default to the same value as x1 (it is = simple linear on the set of positive integers), x3 without context will= be a sequence all and only of 1's, x4 without context defaults to the = set of all non-negative integers. Let p_i be a prime for all i, with p_= 1 =3D 2 and the ith prime (in the normal monotonic increasing order) be= ing p_i. Let all other symbols match the aforementioned conditions. Rep= resent the nth term of the sequence x3 by x3_n; represent the function = in x2 being applied to the number m by x2(m). Then x1 be'ei'oi x2 boi = x3 boi x4 produces the set of all numbers of the form x3_(x1) * (p_1)^(= e_1) *...* (p_(x1))^(e_(x1)), where e_j belongs to the intersection of= the interval [0, x2(x1)] with x4. Old Data: =09Definition: =09=09ternary mekso operator: $x_1$th Bergelson multiplicative interval= with exponents bounded from above by function $x_2$ and with sequence = of shifts $x_3$, where exponents belong to set $x_4$ =09Notes: =09=09x1 must be a positive integer. x2 must be a strictly monotonic in= creasing function mapping from all of the positive integers to a subset= (not necessarily proper) thereof. x3 must be a sequence of natural num= bers. x2 without context will default to the same value as x1 (it is si= mple linear on the set of positive integers), x3 without context will b= e a sequence all and only of 1's, x4 without context defaults to the se= t of all non-negative integers. Let p_i be a prime for all i, with p_1 = =3D 2 and the ith prime (in the normal monotonic increasing order) bein= g p_i. Let all other symbols match the aforementioned conditions. Repre= sent the nth term of the sequence x3 by x3_n; represent the function in= x2 being applied to the number m by x2(m). Then x1 be'ei'oi x2 boi x3= boi x4 produces the set of all numbers of the form x3_n * (p_1)^(e_1) = *...* (p_(x1))^(e_(x1)), where e_j belongs to the intersection of the = interval [0, x2(x1)] with x4. =09Jargon: =09=09 =09Gloss Keywords: =09=09Word: Bergelson multiplicative interval, In Sense:=20 =09Place Keywords: New Data: =09Definition: =09=09ternary mekso operator: $x_1$th Bergelson multiplicative interval= with exponents bounded from above by function $x_2$ and with sequence = of shifts $x_3$, where exponents belong to set $x_4$ =09Notes: =09=09x1 must be a positive integer. x2 must be a strictly monotonic in= creasing function mapping from all of the positive integers to a subset= (not necessarily proper) thereof. x3 must be a sequence of natural num= bers. x2 without context will default to the same value as x1 (it is si= mple linear on the set of positive integers), x3 without context will b= e a sequence all and only of 1's, x4 without context defaults to the se= t of all non-negative integers. Let p_i be a prime for all i, with p_1 = =3D 2 and the ith prime (in the normal monotonic increasing order) bein= g p_i. Let all other symbols match the aforementioned conditions. Repre= sent the nth term of the sequence x3 by x3_n; represent the function in= x2 being applied to the number m by x2(m). Then x1 be'ei'oi x2 boi x3= boi x4 produces the set of all numbers of the form x3_(x1) * (p_1)^(e_= 1) *...* (p_(x1))^(e_(x1)), where e_j belongs to the intersection of t= he interval [0, x2(x1)] with x4. =09Jargon: =09=09 =09Gloss Keywords: =09=09Word: Bergelson multiplicative interval, In Sense:=20 =09Place Keywords: You can go to to see it.