Received: from [192.168.123.254] (port=41402 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.92) (envelope-from ) id 1hN4ZM-0005vD-V6 for jbovlaste-admin@lojban.org; Sat, 04 May 2019 16:59:55 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Sat, 04 May 2019 16:59:52 -0700 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Added At Word fau'a -- By krtisfranks Date: Sat, 4 May 2019 16:59:52 -0700 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 "fau'a" in the language "English". New Data: Definition: Convert operator to being entrywise. Notes: Applied to an operator by immediately following it; breaks the symmetry which that operator may have had: the first argument of the operator is to be a tensor or (multidimensional) list, or a set, or something with many internal terms, entries, elements, components, etc; the subsequent arguments of the operator are arbitrary. The result is to apply the operator with the subsequent arguments to each term, entry, elements, etc. of the first argument individually. For example, for matrix A=((1, 2), (3, 4)), A^2 = ((7, 10), (15, 22)); howwver, A^(fau'a)2 = ((1, 4), (9, 16)); likewise, sin(A) = A - (1/3)A^3 + (1/5)A^5 - ..., but sin(fau'a)(A) = ((sin(1), sin(2)), (sin(3), sin(4))), which is meant to show the distribution of the sin() function to each entry of A, although it also happens to be equivalent to applying the Taylor expansion to A via "fau'a" as well. Jargon: Gloss Keywords: Word: distribution of function to entries, In Sense: Word: entrywise function application, In Sense: Place Keywords: You can go to to see it.