Lagrangian mechanics: Difference between revisions

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en>DVdm
→‎Lagrangian and action: (null edit) re my prev. edit summary ("... erhaps a wikilinks ..."): did I write that? Time to go to sleep :-)
en>BG19bot
m WP:CHECKWIKI error fix for #61. Punctuation goes before References. Do general fixes if a problem exists. - using AWB (9957)
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{{Portal:Logic/Selected article/Layout
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  |image=Formal languages.svg
  |size=
  |caption=This diagram shows the [[Syntax (logic)|syntactic entities]] which may be constructed from [[formal language]]s. The [[symbol (formal)|symbols]] and [[string (computer science)|strings of symbols]] may be broadly divided into [[nonsense]] and [[well-formed formula]]s. A formal language can be thought of as identical to the set of its well-formed formulas. The set of well-formed formulas may be broadly divided into [[theorem]]s and non-theorems. However, quite often, a formal system will simply define all of its well-formed formula as theorems.<ref>Godel, Escher, Bach: An Eternal Golden Braid, [[Douglas Hofstadter]]</ref>
  |text=In the [[formal language]]s used in [[mathematical logic]] and [[computer science]], a '''well-formed formula''' or simply '''formula'''<ref>Because non-well-formed formulas are rarely considered, some authors ignore them altogether. For these authors, "formula" and "well-formed formula" are synonyms. Other authors use the term "formula" for any string of symbols in the language; certain of these strings are then singled out as the well-formed formulas.</ref> (often abbreviated '''wff''', pronounced "wiff" or "wuff") is an [[idea]], [[abstraction]] or [[concept]] which is expressed using the [[symbol (formal)|symbol]]s and [[formation rule]]s (also called the [[formal grammar]]) of a particular formal language. To say that a [[string (computer science)|string]] of symbols <math>\ S</math> is a wff with respect to a given formal grammar <math>\ G</math> is equivalent to saying that <math>\ S</math> belongs to the language generated by <math>\ G</math>. A formal language can be identified with the set of its wffs.
  |link=Well-formed formula
}}

Revision as of 10:13, 5 March 2014

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