An Etymological Dictionary of Astronomy and Astrophysics
English-French-Persian

Of or relating to analysis, in contrast with → synthetic. Also analytical.

M.L. analyticus, from Gk. analytikos, from analy-, → analysis, + -tikos, -tic, equivalent to → -ic.

Pertaining to ânâlas, → analysis.

A curve whose parametric equations are real → analytic functions of a single real variable.

→ analytic; → curve.

A function which can be represented by a convergent → power series.

→ analytic; → function.

The study of the geometry of figures by algebraic representation and manipulation of equations describing their positions, configurations, and separations.

→ analytic; → geometry.

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.

→ analytic; → language.

Same as → analytic.

→ analysis; → -al.

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.

→ analytical; → mechanics.