Return-path: Envelope-to: jbovlaste-admin@lojban.org Delivery-date: Wed, 26 Oct 2022 22:47:11 -0700 Received: from [192.168.123.254] (port=58286 helo=jiten.lojban.org) by d7893716a6e6 with smtp (Exim 4.94.2) (envelope-from ) id 1onvjQ-007EzB-Ip for jbovlaste-admin@lojban.org; Wed, 26 Oct 2022 22:47:11 -0700 Received: by jiten.lojban.org (sSMTP sendmail emulation); Thu, 27 Oct 2022 05:47:08 +0000 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word pi'ei'oi -- By krtisfranks Date: Thu, 27 Oct 2022 05:47:08 +0000 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Message-Id: X-Spam-Score: -2.9 (--) X-Spam_score: -2.9 X-Spam_score_int: -28 X-Spam_bar: -- In jbovlaste, the user krtisfranks has edited a definition of "pi'ei'oi" in the language "English". Differences: 2,2c2,2 < mathematical ternary operator: prime-generating function --- > mathematical ternary operator: prime-generating function. 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 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 (or, more generally, ordinals) 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 p_1 = 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 (or, more generally, ordinals) 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 p_1 = 2. Usually denoted "p_i" or "Prime()" in the literature. See also: "{fei'i}", "{pau'au}". 14a15,16 \n> Word: nth prime, In Sense: p_n > Word: Prime(), 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 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 (or, more generally, ordinals) 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 p_1 = 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-generating function, In Sense: Word: prime number, In Sense: ith prime under some ordering 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 (or, more generally, ordinals) 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 p_1 = 2. Usually denoted "p_i" or "Prime()" in the literature. See also: "{fei'i}", "{pau'au}". Jargon: Gloss Keywords: Word: p_i, In Sense: ith prime number Word: prime generating function, In Sense: Word: prime-generating function, In Sense: Word: prime number, In Sense: ith prime under some ordering Word: nth prime, In Sense: p_n Word: Prime(), In Sense: Place Keywords: You can go to to see it.