Return-path: Envelope-to: jbovlaste-admin@lojban.org Delivery-date: Sat, 26 Jun 2021 01:17:41 -0700 Received: from [192.168.123.254] (port=53322 helo=web.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.94) (envelope-from ) id 1lx3VS-000kcZ-Or for jbovlaste-admin@lojban.org; Sat, 26 Jun 2021 01:17:41 -0700 Received: by web.digitalkingdom.org (sSMTP sendmail emulation); Sat, 26 Jun 2021 08:17:38 +0000 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Added At Word ji'i'u'u -- By krtisfranks Date: Sat, 26 Jun 2021 08:17:38 +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 added a definition of "ji'i'u'u" in the language "English". New Data: Definition: mekso, at-most-5-ary; rounding function. (See notes). Notes: This word is mathematically equivalent to "{ji'i'u}", except that every occurrence of "abs$(x)$" in its definition is here replaced simply with "$x$" and every occurrence of "sgn$(x)$" in its definition is here replaced with "$1$". In other words, where "ji'i'u" really rounds toward or away from $0$, this word rounds toward negative or positive infinity. The behaviors coincide for nonnegative $x$, but differ for $x < 0$; for example, for $x < 0$, a 'negative-type' rounding for "ji'i'u" would round toward $0$, which is actually an increase in value (just decrease in absolute value) while remaining negative, whereas a 'negative-type' rounding here would round toward negative infinity, which is a decrease in value (but an increase in absolute value) while remaining negative. This function corresponds more closely with a simple floor or ceiling function, but can be annoying in certain common contexts due to the need to define behavior involving it piecewisely for negative $x$. Jargon: Gloss Keywords: Word: rounding function, In Sense: rounds at given digit Word: round up, In Sense: Word: round down, In Sense: Word: ceiling function, In Sense: Word: floor function, In Sense: Word: round to nearest integer, In Sense: Place Keywords: You can go to to see it.