Received: from 173-13-139-235-sfba.hfc.comcastbusiness.net ([173.13.139.235]:60168 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.86_2) (envelope-from ) id 1c02em-0002ib-5h for jbovlaste-admin@lojban.org; Fri, 28 Oct 2016 01:37:01 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Fri, 28 Oct 2016 01:36:55 -0700 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word torxesu -- By krtisfranks Date: Fri, 28 Oct 2016 01:36:55 -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 krtisfranks has edited a definition of "torxesu" in the language "English". Differences: 2,2c2,2 < $x_1$ is a torus of genus $x_2$ (li; nonnegative integer), having $x_3$ (li; nonnegative integer) cusps, and with other properties/characteristics $x_4$, by standard/in sense $x_5$; $x_1$ is an $x_2$-fold torus. --- > $x_1$ is a torus of genus $x_2$ (li; nonnegative integer), having $x_3$ (li; nonnegative integer) distinct cusps, and with other properties/characteristics $x_4$, by standard/in sense $x_5$; $x_1$ is an $x_2$-fold torus. 5,5c5,5 < A coffee mug is a 1-fold torus by the standard of topology but not by the standard of geometry. $x_2$ can be only a nonnegative integer or some sort of infinity. See also: {cukydjine}, where the material properties and realization of the (physical) object matter. --- > The contextless default for $x_3$ is probably 0. A coffee mug is a 1-fold torus by the standard of topology but not by the standard of geometry. $x_2$ can be only a nonnegative integer or some sort of infinity. See also: {cukydjine}, where the material properties and realization of the (physical) object matter. $x_2 = 0, x_3 = 1$ means that $x_1$ is a horn(ed) torus (the cross-section with the two circles has them intersecting at exactly 1 point); $x_0 = 1, x_3 = 2$ means that $x_1$ is a spindle torus (the cross-section with the two circles has them intersecting at exactly 2 points); $x_2 = 0, x_3 =$ {ro} means that $x_1$ is a sphere (the cross-section with the two circles has them intersecting at all of their points (which also is uncountably infinitely many) so that they are mutually indistinguishable); $x_2 = 1, x_3 = 0$ means that $x_1$ is a standard/basic torus (the cross-section with the two circles has them intersecting at exactly 0 points; the result is a classic 'donut' shape). Old Data: Definition: $x_1$ is a torus of genus $x_2$ (li; nonnegative integer), having $x_3$ (li; nonnegative integer) cusps, and with other properties/characteristics $x_4$, by standard/in sense $x_5$; $x_1$ is an $x_2$-fold torus. Notes: A coffee mug is a 1-fold torus by the standard of topology but not by the standard of geometry. $x_2$ can be only a nonnegative integer or some sort of infinity. See also: {cukydjine}, where the material properties and realization of the (physical) object matter. Jargon: Gloss Keywords: Word: torus, In Sense: mathematically focused Place Keywords: New Data: Definition: $x_1$ is a torus of genus $x_2$ (li; nonnegative integer), having $x_3$ (li; nonnegative integer) distinct cusps, and with other properties/characteristics $x_4$, by standard/in sense $x_5$; $x_1$ is an $x_2$-fold torus. Notes: The contextless default for $x_3$ is probably 0. A coffee mug is a 1-fold torus by the standard of topology but not by the standard of geometry. $x_2$ can be only a nonnegative integer or some sort of infinity. See also: {cukydjine}, where the material properties and realization of the (physical) object matter. $x_2 = 0, x_3 = 1$ means that $x_1$ is a horn(ed) torus (the cross-section with the two circles has them intersecting at exactly 1 point); $x_0 = 1, x_3 = 2$ means that $x_1$ is a spindle torus (the cross-section with the two circles has them intersecting at exactly 2 points); $x_2 = 0, x_3 =$ {ro} means that $x_1$ is a sphere (the cross-section with the two circles has them intersecting at all of their points (which also is uncountably infinitely many) so that they are mutually indistinguishable); $x_2 = 1, x_3 = 0$ means that $x_1$ is a standard/basic torus (the cross-section with the two circles has them intersecting at exactly 0 points; the result is a classic 'donut' shape). Jargon: Gloss Keywords: Word: torus, In Sense: mathematically focused Place Keywords: You can go to to see it.