Return-path: Envelope-to: jbovlaste-admin@lojban.org Delivery-date: Fri, 12 May 2023 06:01:08 -0700 Received: from [192.168.123.254] (port=53342 helo=web.lojban.org) by 1e8a975bd72a with smtp (Exim 4.94.2) (envelope-from ) id 1pxSOP-000F3U-Kz for jbovlaste-admin@lojban.org; Fri, 12 May 2023 06:01:08 -0700 Received: by web.lojban.org (sSMTP sendmail emulation); Fri, 12 May 2023 13:01:05 +0000 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word va'au'au -- By krtisfranks Date: Fri, 12 May 2023 13:01:05 +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 "va'au'au" in the language "English". Differences: Old Data: Definition: Binary mekso operator: group-theoretic conjugation (group action): maps inputs $(X_1, X_2, X_3)$ to $X_2^{(-X_3)} * X_1 * X_2^{X_3} = \phi_{(X_2^{(-X_3)})}(X_1)$. Default: $X_3 = 1$. Notes: Assumes that the inverse of $X_2$ is defined; inherits the group operator '*' (which is binary and left-groups/evaluates from the left) from context and assumes that it is defined for the given input pairs. $X_3$ will typically be $\pm 1$. Negative 'exponents' denote inverses; an 'exponent' of $0$ denotes the jdentity element for the group. Jargon: Gloss Keywords: Word: change of basis, In Sense: Word: conjugation, In Sense: group theory Word: group-theoretic conjugation, In Sense: Word: Jordan normalization operator, In Sense: Place Keywords: New Data: Definition: Binary mekso operator: group-theoretic conjugation (group action): maps inputs $(X_1, X_2, X_3)$ to $X_2^{(-X_3)} * X_1 * X_2^{X_3} = \phi_{(X_2^{(-X_3)})}(X_1)$. Default: $X_3 = 1$. Notes: Assumes that the inverse of $X_2$ is defined; inherits the group operator '*' (which is binary and left-groups/evaluates from the left) from context and assumes that it is defined for the given input pairs. $X_3$ will typically be $\pm 1$. Negative 'exponents' denote inverses; an 'exponent' of $0$ denotes the jdentity element for the group. Jargon: Gloss Keywords: Word: change of basis, In Sense: Word: conjugation, In Sense: group theory Word: group-theoretic conjugation, In Sense: Word: Jordan normalization operator, In Sense: Place Keywords: You can go to to see it.