Received: from [192.168.123.254] (port=48318 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.92) (envelope-from ) id 1kQaUF-0008KG-4M for jbovlaste-admin@lojban.org; Thu, 08 Oct 2020 11:17:57 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Thu, 08 Oct 2020 11:17:55 -0700 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word salrixo -- By krtisfranks Date: Thu, 8 Oct 2020 11:17:55 -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 edited a definition of "salrixo" in the language "English". Differences: 2,2c2,2 < $x_1$ is the differintegral of $x_2$ with respect to $x_3$ of order $x_4$ with starting point $x_5$ --- > $x_1$ is the differintegral of $x_2$ with respect to $x_3$ of order $x_4$, with differintegration being according to definition/specification or of type $x_5$. 5,5c5,5 < Definition of which differintegral operator is being used is context dependent. Output x1 is a function, not a value (that is, it is f rather than f(x)); it must be specified/restricted to a value in order to be a value. x2 is likewise a function. If the function has only one variable, x3 defaults to that variable; when x2 is physical, without context, time will probably usually be assumed as the default of x3 (but may be made explicit by {temci zei salrixo}). Positive values of x4 are integrals, negative values are derivatives, and zero is identity; at the least, any real value may be supplied for x4; x4 has no default value. Useful for making lujvo for physics, for specifying career/total/sum versus peak/instantaneous value, for distinguishing between instantaneous versus average values/quantities, for specifying rates, etc. See also: {salri} (synonymous gismu). --- > All integrals are indefinite. Definition of which differintegral operator is being used is context-dependent if not specified explicitly by $x_5$. Dimensionality of $x_1$ and $x_2$ may be similarly specified. Output $x_1$ is a function, not a value (that is, it is some $f$ rather than $f(x)$); it must be specified/restricted to a value in order to be a value; thus, output may be $g'$ but not $g'(a)$ for some $a$; similarly, definite integrals and integration constants must be defined with additional effort. $x_2$ is likewise a function. If $x_2$ is univariate, then $x_3$ defaults to that input/variable; when $x_2$ is physical, without context, time will probably usually but not necessarily be assumed as the default of $x_3$ (but may be made explicit by "{temci} {zei} salrixo" or merely "{temsalri}"). Positive values of $x_4$ are integrals, negative values are derivatives, and zero is identity; at the least, any real value may be supplied for $x_4$; $x_4$ has no default value. Useful for making lujvo for physics, for specifying career/total/sum versus peak/instantaneous value, for distinguishing between instantaneous versus average values/quantities, for specifying rates, generalized densities (including pressure), "per" for smooth quantities, etc. See also: "{salri}" (synonymous gismu). Old Data: Definition: $x_1$ is the differintegral of $x_2$ with respect to $x_3$ of order $x_4$ with starting point $x_5$ Notes: Definition of which differintegral operator is being used is context dependent. Output x1 is a function, not a value (that is, it is f rather than f(x)); it must be specified/restricted to a value in order to be a value. x2 is likewise a function. If the function has only one variable, x3 defaults to that variable; when x2 is physical, without context, time will probably usually be assumed as the default of x3 (but may be made explicit by {temci zei salrixo}). Positive values of x4 are integrals, negative values are derivatives, and zero is identity; at the least, any real value may be supplied for x4; x4 has no default value. Useful for making lujvo for physics, for specifying career/total/sum versus peak/instantaneous value, for distinguishing between instantaneous versus average values/quantities, for specifying rates, etc. See also: {salri} (synonymous gismu). Jargon: Gloss Keywords: Word: derivative, In Sense: mathematical Word: differintegral, In Sense: brivla Word: integral, In Sense: mathematical; continuous sum Place Keywords: New Data: Definition: $x_1$ is the differintegral of $x_2$ with respect to $x_3$ of order $x_4$, with differintegration being according to definition/specification or of type $x_5$. Notes: All integrals are indefinite. Definition of which differintegral operator is being used is context-dependent if not specified explicitly by $x_5$. Dimensionality of $x_1$ and $x_2$ may be similarly specified. Output $x_1$ is a function, not a value (that is, it is some $f$ rather than $f(x)$); it must be specified/restricted to a value in order to be a value; thus, output may be $g'$ but not $g'(a)$ for some $a$; similarly, definite integrals and integration constants must be defined with additional effort. $x_2$ is likewise a function. If $x_2$ is univariate, then $x_3$ defaults to that input/variable; when $x_2$ is physical, without context, time will probably usually but not necessarily be assumed as the default of $x_3$ (but may be made explicit by "{temci} {zei} salrixo" or merely "{temsalri}"). Positive values of $x_4$ are integrals, negative values are derivatives, and zero is identity; at the least, any real value may be supplied for $x_4$; $x_4$ has no default value. Useful for making lujvo for physics, for specifying career/total/sum versus peak/instantaneous value, for distinguishing between instantaneous versus average values/quantities, for specifying rates, generalized densities (including pressure), "per" for smooth quantities, etc. See also: "{salri}" (synonymous gismu). Jargon: Gloss Keywords: Word: derivative, In Sense: mathematical Word: differintegral, In Sense: brivla Word: integral, In Sense: mathematical; continuous sum Place Keywords: You can go to to see it.