Return-path: Envelope-to: jbovlaste-admin@lojban.org Delivery-date: Wed, 12 Oct 2022 23:13:52 -0700 Received: from [192.168.123.254] (port=38770 helo=jiten.lojban.org) by d7893716a6e6 with smtp (Exim 4.94.2) (envelope-from ) id 1oirTZ-005wiH-T4 for jbovlaste-admin@lojban.org; Wed, 12 Oct 2022 23:13:52 -0700 Received: by jiten.lojban.org (sSMTP sendmail emulation); Thu, 13 Oct 2022 06:13:49 +0000 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word bi'oi'au -- By krtisfranks Date: Thu, 13 Oct 2022 06:13:49 +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 "bi'oi'au" in the language "English". Differences: Old Data: Definition: digit/number: $$ interval/range indicator for significant digits (determined by lesser endpoint). Notes: Given a finite, well-formed digit string "$x_{n} x_{n-1} ... x_{m}$ bi'oi'au $x_{m-1} x_{m-2} ...$", where "$x_i$" is a member of selma'o PA (other than this word; including at most one instance of "{pi}") for all $i$, the usage of this word in the digit string yields an output of the interval $[\sum_{i = 0}^{\infty}{(x_{n-i} b^{n-i})}, \sum_{i = 0}^{n-m+1}{(x_{n-i} b^{n-i})} + (x_{m} + 1)b^{m} + \sum_{i = m+1}^{n}{(x_{i} b^{i})})$, where $b$ is the base (taken to be ten by cultural convention in most human cases unless specified otherwise). Importantly this generates an interval, not a specific number - meaning that equality to such an expression would mean set equality, not numeric equality, among other things. As an example, where "b" represents this word: "2b000" yields [2000, 3000); "20b00" yields [2000, 2100). This is useful for dates (example: "the 2000s"), ages (example: "they are in their twenties"), or any estimate wherein the significant digits are known. Note that, for example, this functionality supports simple calendrical centuries (example: "1900 to 2000, exclusive of the latter only"), canonical calendrical centuries (example: "1901 to 2001, exclusive of the latter only"), and complicated century-long time intervals (example: "1969 to 2069, exclusive of the latter only"); and analogy applies, of course. The interval which is generated in a complete (math jargon) subset of the real numbers - there are no gaps and, in particular, the interval is not discrete (for example: it is not restricted to only the integers). Jargon: Gloss Keywords: Word: interval-from-number determined by lesser endpoint, In Sense: Place Keywords: New Data: Definition: digit/number: $$ interval/range indicator for significant digits (determined by lesser endpoint). Notes: Given a finite, well-formed digit string "$x_{n} x_{n-1} ... x_{m}$ bi'oi'au $x_{m-1} x_{m-2} ...$", where "$x_i$" is a member of selma'o PA (other than this word; including at most one instance of "{pi}") for all $i$, the usage of this word in the digit string yields an output of the interval $[\sum_{i = 0}^{\infty}{(x_{n-i} b^{n-i})}, \sum_{i = 0}^{n-m+1}{(x_{n-i} b^{n-i})} + (x_{m} + 1)b^{m} + \sum_{i = m+1}^{n}{(x_{i} b^{i})})$, where $b$ is the base (taken to be ten by cultural convention in most human cases unless specified otherwise). Importantly this generates an interval, not a specific number - meaning that equality to such an expression would mean set equality, not numeric equality, among other things. As an example, where "b" represents this word: "2b000" yields [2000, 3000); "20b00" yields [2000, 2100). This is useful for dates (example: "the 2000s"), ages (example: "they are in their twenties"), or any estimate wherein the significant digits are known. Note that, for example, this functionality supports simple calendrical centuries (example: "1900 to 2000, exclusive of the latter only"), canonical calendrical centuries (example: "1901 to 2001, exclusive of the latter only"), and complicated century-long time intervals (example: "1969 to 2069, exclusive of the latter only"); and analogy applies, of course. The interval which is generated in a complete (math jargon) subset of the real numbers - there are no gaps and, in particular, the interval is not discrete (for example: it is not restricted to only the integers). Jargon: Gloss Keywords: Word: interval-from-number determined by lesser endpoint, In Sense: Place Keywords: You can go to to see it.