View source for salri

==== valsi ====
salri
==== type ====
experimental gismu
==== creator ====
[[personal/krtisfranks|krtisfranks]]
==== time entered ====
Fri Jan 30 22:46:09 2015
 
== English ==
=== Definition #64495 - Preferred ===
 
==== definition ====
x<sub>1</sub> is the differintegral of x<sub>2</sub> with respect to x<sub>3</sub> of order x<sub>4</sub>, with differintegration being according to definition/specification or of type x<sub>5</sub>.
==== notes ====

All integrals are indefinite. Definition of which differintegral operator is being used is context-dependent if not specified explicitly by <span class="MATH"><i>x</i><sub>5</sub></span>. Dimensionality of <span class="MATH"><i>x</i><sub>1</sub></span> and <span class="MATH"><i>x</i><sub>2</sub></span> may be similarly specified. Output <span class="MATH"><i>x</i><sub>1</sub></span> is a function, not a value (that is, it is some <span class="MATH"><i>f</i></span> rather than <span class="MATH"><i>f</i> (<i>x</i>)</span>); it must be specified/restricted to a value in order to be a value; thus, output may be <span class="MATH"><i>g'</i></span> but not <span class="MATH"><i>g'</i>(<i>a</i>)</span> for some <span class="MATH"><i>a</i></span>; similarly, definite integrals and integration constants must be defined with additional effort. <span class="MATH"><i>x</i><sub>2</sub></span> is likewise a function. If <span class="MATH"><i>x</i><sub>2</sub></span> is univariate, then <span class="MATH"><i>x</i><sub>3</sub></span> defaults to that input/variable; when <span class="MATH"><i>x</i><sub>2</sub></span> is physical, without context, time will probably usually but not necessarily be assumed as the default of <span class="MATH"><i>x</i><sub>3</sub></span> (but may be made explicit by "[[temsalri|temsalri]]"). Positive values of <span class="MATH"><i>x</i><sub>4</sub></span> are integrals, negative values are derivatives, and zero is identity; at the least, any real value may be supplied for <span class="MATH"><i>x</i><sub>4</sub></span>; <span class="MATH"><i>x</i><sub>4</sub></span> 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: "[[salrixo|salrixo]]" (synonymous zi'evla).

==== gloss words ====

<ul><li>[[natlang/en/derivative|derivative ; mathematical]]</li><li>[[natlang/en/differintegral|differintegral ; brivla]]</li><li>[[natlang/en/integral|integral ; mathematical; continuous sum]]</li></ul>

==== created by ====
[[personal/krtisfranks|krtisfranks]]
==== vote information ====
2
     
==== time ====
Thu Oct  8 18:14:47 2020

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=== Etymology ===