Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:34626 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.91) (envelope-from ) id 1fs401-0003P8-Dj for jbovlaste-admin@lojban.org; Tue, 21 Aug 2018 03:34:59 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Tue, 21 Aug 2018 03:34:57 -0700 From: "Apache" To: lynn@foldr.moe Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word utka -- By lalxu Date: Tue, 21 Aug 2018 03:34:57 -0700 MIME-Version: 1.0 Content-Type: text/plain; charset="UTF-8" Message-Id: X-Spam-Score: -0.9 (/) X-Spam_score: -0.9 X-Spam_score_int: -8 X-Spam_bar: / In jbovlaste, the user lalxu has edited a definition of "utka" in the language "English". Differences: 5,5c5,5 < For example, "lo stedu ku utka lo birka lo ka (ce'u ce'u) lamji" is true, with $x_4$ equal to something like "lo cnebo ce'o lo cutne ce'o lo janco". (Also: "lo stedu ku {lamji'utka} lo birka".) Formally, "utka$(A, B, P,$ [$L_1...L_n$]$)$" is equivalent to "$P(A, L_1)$ and $P(L_1, L_2)$ and ... and $P(L_{(n-1)}, L_n)$ and $P(L_n, B)$". The $x_4$ may be empty ("lo {nomei}") if there are no intermediate steps (id est: the relevant path-linking between $x_1$ and $x_2$ is direct). $x_4$ is a list of only (some of) the intermediate steps between $x_1$ and $x_2$ and does not include $x_1$ or $x_2$ themselves. Transposition/commutation of $x_1$ and $x_2$ requires a SE conversion of $x_3$ (although this may be identical to the original) and an internal reversal of $x_4$; since $x_3$ and $x_4$ are both directed/ordered, leaving them fixed while commutating $x_1$ and $x_2$ is a nontrivial assertion which is additional to the original expression (where $x_1$ and $x_2$ are not commutated) - in other words, for fixed $x_3$ and $x_4$, "$x_1\, x_2\, x_3\, x_4$ utka" does not logically imply or get implied by "$x_2\, x_1\, x_3\, x_4$ utka" (they are logically independent claims). See also: ".{efku}", "{ki'irsi}", "{takni}", "{taknyklojyzilpra}". --- > For example, "lo stedu ku utka lo birka lo ka (ce'u ce'u) lamji" is true, with $x_4$ equal to something like "lo cnebo ce'o lo cutne ce'o lo janco". (Also: "lo stedu ku {lamji'utka} lo birka".) Formally, "utka$(A, B, P,$ [$L_1...L_n$]$)$" is equivalent to "$P(A, L_1)$ and $P(L_1, L_2)$ and ... and $P(L_{(n-1)}, L_n)$ and $P(L_n, B)$". The $x_4$ may be empty ("lo {nomei}") if there are no intermediate steps (id est: the relevant path-linking between $x_1$ and $x_2$ is direct). $x_4$ is a list of only the intermediate steps between $x_1$ and $x_2$ and does not include $x_1$ or $x_2$ themselves. The predicate may be asymmetrical. See also: {efku}, {ki'irsi}, {takni}, {taknyklojyzilpra}. Old Data: Definition: $x_1$ and $x_2$ are path-linked by binary predicate $x_3$ (ka) via steps $x_4$ (ce'o (ordered) list) Notes: For example, "lo stedu ku utka lo birka lo ka (ce'u ce'u) lamji" is true, with $x_4$ equal to something like "lo cnebo ce'o lo cutne ce'o lo janco". (Also: "lo stedu ku {lamji'utka} lo birka".) Formally, "utka$(A, B, P,$ [$L_1...L_n$]$)$" is equivalent to "$P(A, L_1)$ and $P(L_1, L_2)$ and ... and $P(L_{(n-1)}, L_n)$ and $P(L_n, B)$". The $x_4$ may be empty ("lo {nomei}") if there are no intermediate steps (id est: the relevant path-linking between $x_1$ and $x_2$ is direct). $x_4$ is a list of only (some of) the intermediate steps between $x_1$ and $x_2$ and does not include $x_1$ or $x_2$ themselves. Transposition/commutation of $x_1$ and $x_2$ requires a SE conversion of $x_3$ (although this may be identical to the original) and an internal reversal of $x_4$; since $x_3$ and $x_4$ are both directed/ordered, leaving them fixed while commutating $x_1$ and $x_2$ is a nontrivial assertion which is additional to the original expression (where $x_1$ and $x_2$ are not commutated) - in other words, for fixed $x_3$ and $x_4$, "$x_1\, x_2\, x_3\, x_4$ utka" does not logically imply or get implied by "$x_2\, x_1\, x_3\, x_4$ utka" (they are logically independent claims). See also: ".{efku}", "{ki'irsi}", "{takni}", "{taknyklojyzilpra}". Jargon: Gloss Keywords: Place Keywords: New Data: Definition: $x_1$ and $x_2$ are path-linked by binary predicate $x_3$ (ka) via steps $x_4$ (ce'o (ordered) list) Notes: For example, "lo stedu ku utka lo birka lo ka (ce'u ce'u) lamji" is true, with $x_4$ equal to something like "lo cnebo ce'o lo cutne ce'o lo janco". (Also: "lo stedu ku {lamji'utka} lo birka".) Formally, "utka$(A, B, P,$ [$L_1...L_n$]$)$" is equivalent to "$P(A, L_1)$ and $P(L_1, L_2)$ and ... and $P(L_{(n-1)}, L_n)$ and $P(L_n, B)$". The $x_4$ may be empty ("lo {nomei}") if there are no intermediate steps (id est: the relevant path-linking between $x_1$ and $x_2$ is direct). $x_4$ is a list of only the intermediate steps between $x_1$ and $x_2$ and does not include $x_1$ or $x_2$ themselves. The predicate may be asymmetrical. See also: {efku}, {ki'irsi}, {takni}, {taknyklojyzilpra}. Jargon: Gloss Keywords: Place Keywords: You can go to to see it.