Difference between revisions of "Complete differential"
From Encyclopedia of Mathematics
(Importing text file) |
Ulf Rehmann (talk | contribs) m (tex encoded by computer) |
||
| Line 1: | Line 1: | ||
| − | + | <!-- | |
| + | c0237501.png | ||
| + | $#A+1 = 3 n = 0 | ||
| + | $#C+1 = 3 : ~/encyclopedia/old_files/data/C023/C.0203750 Complete differential | ||
| + | Automatically converted into TeX, above some diagnostics. | ||
| + | Please remove this comment and the {{TEX|auto}} line below, | ||
| + | if TeX found to be correct. | ||
| + | --> | ||
| − | The same as the [[Differential|differential]] of the function at that point. The term complete differential is used to contrast it with the term partial differential. The concept of the complete differential of a function in | + | {{TEX|auto}} |
| + | {{TEX|done}} | ||
| + | |||
| + | ''of a function in $ n $ | ||
| + | variables at a point $ x _ {0} \in \mathbf R ^ {n} $'' | ||
| + | |||
| + | The same as the [[Differential|differential]] of the function at that point. The term complete differential is used to contrast it with the term partial differential. The concept of the complete differential of a function in $ n $ | ||
| + | variables can be extended to the case of mappings of open sets in linear topological spaces into similar spaces (see [[Gâteaux differential|Gâteaux differential]]; [[Fréchet differential|Fréchet differential]]; [[Differentiation of a mapping|Differentiation of a mapping]]). | ||
Latest revision as of 17:45, 4 June 2020
of a function in $ n $
variables at a point $ x _ {0} \in \mathbf R ^ {n} $
The same as the differential of the function at that point. The term complete differential is used to contrast it with the term partial differential. The concept of the complete differential of a function in $ n $ variables can be extended to the case of mappings of open sets in linear topological spaces into similar spaces (see Gâteaux differential; Fréchet differential; Differentiation of a mapping).
How to Cite This Entry:
Complete differential. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Complete_differential&oldid=15689
Complete differential. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Complete_differential&oldid=15689
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article