Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:50502 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.80.1) (envelope-from ) id 1X7t4F-0004n8-Ur; Thu, 17 Jul 2014 14:18:21 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Thu, 17 Jul 2014 14:18:19 -0700 From: "Apache" Date: Thu, 17 Jul 2014 14:18:19 -0700 To: webmaster@lojban.org, curtis289@att.net Subject: [jvsw] Definition Edited At Word pi'ei'oi -- By krtisfranks Bcc: jbovlaste-admin@lojban.org Message-ID: <53c83d9b.FfAhh2e/RtHophpa%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: 7bit X-Spam-Score: -0.9 (/) X-Spam_score: -0.9 X-Spam_score_int: -8 X-Spam_bar: / In jbovlaste, the user krtisfranks has edited a definition of "pi'ei'oi" in the language "English". Differences: 5,5c5,5 < The a-th prime according to ordering rules b in ring c; contextless default for c is the standard/typical ring of integers (Z,+,*); contextless default for b is the standard typical ordering of the ring, which is normal absolute value (signless difference/distance with/from 0) for the standard ring (Z,+,*); thus, it will usually operate as an unary operator. The function must be defined over the set of strictly positive integers in/for the first operand; generalizations may be possible. Ignores units and 0. It begins counting at 1 [in/for the first operand]; under contextless default conditions, the outputs increase strictly monotonically with respect to increase in the first input [a], starting with the least prime in (Z,+,*), namely 2. Usually denoted "p_i" or "Prime" in the literature. --- > The a-th prime according to ordering rules b in ring c; contextless default for c is the standard/typical ring of integers (Z,+,*); contextless default for b is the standard typical ordering of the ring, which is the 'normal' absolute value (signless difference/distance with/from 0) for the standard ring (Z,+,*); thus, it will usually operate as an unary operator. The function must be defined over the set of strictly positive integers in/for the first operand; generalizations may be possible. Ignores units and 0. It begins counting at 1 [in/for the first operand]; under contextless default conditions, the outputs increase strictly monotonically with respect to increase in the first input [a], starting with the least prime in (Z,+,*), namely 2. Usually denoted "p_i" or "Prime" in the literature. 11,11c11,11 < Word: prime-generating function, In Sense: --- > Word: p_i, In Sense: ith prime number 14,14c14,14 < Word: p_i, In Sense: ith prime number --- > Word: prime-generating function, In Sense: Old Data: Definition: mathematical ternary operator: prime-generating function Notes: The a-th prime according to ordering rules b in ring c; contextless default for c is the standard/typical ring of integers (Z,+,*); contextless default for b is the standard typical ordering of the ring, which is normal absolute value (signless difference/distance with/from 0) for the standard ring (Z,+,*); thus, it will usually operate as an unary operator. The function must be defined over the set of strictly positive integers in/for the first operand; generalizations may be possible. Ignores units and 0. It begins counting at 1 [in/for the first operand]; under contextless default conditions, the outputs increase strictly monotonically with respect to increase in the first input [a], starting with the least prime in (Z,+,*), namely 2. Usually denoted "p_i" or "Prime" in the literature. Jargon: Gloss Keywords: Word: prime-generating function, In Sense: Word: prime generating function, In Sense: Word: prime number, In Sense: ith prime under some ordering Word: p_i, In Sense: ith prime number Place Keywords: New Data: Definition: mathematical ternary operator: prime-generating function Notes: The a-th prime according to ordering rules b in ring c; contextless default for c is the standard/typical ring of integers (Z,+,*); contextless default for b is the standard typical ordering of the ring, which is the 'normal' absolute value (signless difference/distance with/from 0) for the standard ring (Z,+,*); thus, it will usually operate as an unary operator. The function must be defined over the set of strictly positive integers in/for the first operand; generalizations may be possible. Ignores units and 0. It begins counting at 1 [in/for the first operand]; under contextless default conditions, the outputs increase strictly monotonically with respect to increase in the first input [a], starting with the least prime in (Z,+,*), namely 2. Usually denoted "p_i" or "Prime" in the literature. Jargon: Gloss Keywords: Word: p_i, In Sense: ith prime number Word: prime generating function, In Sense: Word: prime number, In Sense: ith prime under some ordering Word: prime-generating function, In Sense: Place Keywords: You can go to to see it.