Of or relating to analysis, in contrast with → synthetic. Also analytical.
Pertaining to ânâlas, → analysis.
Fr.: courbe analytique
A curve whose parametric equations are real → analytic functions of a single real variable.
Fr.: fonction analytique
A function which can be represented by a convergent → power series.
Fr.: géométrie analytique
The study of the geometry of figures by algebraic representation and manipulation of equations describing their positions, configurations, and separations.
Fr.: langue analytique
A language that is characterized largely by the fact that it depends on word order, rather than on inflections (grammatical endings), to convey sentence meanings. In an analytic language relations between nouns and adjectives are expressed using prepositions. English and (to a lesser extent) French, and Persian are considered analytic languages, while German and Russian are → synthetic languages.
Same as → analytic.
Fr.: mécanique analytique
A branch of → mechanics based on → variational principle that describes systems by their → Lagrangian or → Hamiltonian. Analytical mechanics provides a formalism that is different from that of Newton and does not use the concept of force. Among other things, analytical mechanics gives a more simple description of continuous and constrained systems. Moreover, its mathematical structure allows it an easier transition to quantum mechanical topics.