Definition of Variation. Meaning of Variation. Synonyms of Variation

Here you will find one or more explanations in English for the word Variation. Also in the bottom left of the page several parts of wikipedia pages related to the word Variation and, of course, Variation synonyms and on the right images related to the word Variation.

Definition of Variation

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Calculus of variations
Calculus Cal"cu*lus, n.; pl. Calculi. [L, calculus. See Calculate, and Calcule.] 1. (Med.) Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc. 2. (Math.) A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation. Barycentric calculus, a method of treating geometry by defining a point as the center of gravity of certain other points to which co["e]fficients or weights are ascribed. Calculus of functions, that branch of mathematics which treats of the forms of functions that shall satisfy given conditions. Calculus of operations, that branch of mathematical logic that treats of all operations that satisfy given conditions. Calculus of probabilities, the science that treats of the computation of the probabilities of events, or the application of numbers to chance. Calculus of variations, a branch of mathematics in which the laws of dependence which bind the variable quantities together are themselves subject to change. Differential calculus, a method of investigating mathematical questions by using the ratio of certain indefinitely small quantities called differentials. The problems are primarily of this form: to find how the change in some variable quantity alters at each instant the value of a quantity dependent upon it. Exponential calculus, that part of algebra which treats of exponents. Imaginary calculus, a method of investigating the relations of real or imaginary quantities by the use of the imaginary symbols and quantities of algebra. Integral calculus, a method which in the reverse of the differential, the primary object of which is to learn from the known ratio of the indefinitely small changes of two or more magnitudes, the relation of the magnitudes themselves, or, in other words, from having the differential of an algebraic expression to find the expression itself.

Meaning of Variation from wikipedia

- Variation or Variations may refer to: Variation (astronomy), any perturbation of the mean motion or orbit of a planet or satellite, particularly of the...
- In probability theory and statistics, the coefficient of variation (CV), also known as relative standard deviation (RSD),[citation needed] is a standardized...
- The calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima...
- Variational may refer to: Calculus of variations, a field of mathematical analysis that deals with maximizing or minimizing functionals Variational method...
- In music, variation is a formal technique where material is repeated in an altered form. The changes may involve melody, rhythm, harmony, counterpoint...
- analysis, a function of bounded variation, also known as BV function, is a real-valued function whose total variation is bounded (finite): the graph of...
- In mathematics, the total variation identifies several slightly different concepts, related to the (local or global) structure of the codomain of a function...
- Genetic variation is the difference in DNA among individuals or the differences between po****tions. The multiple sources of genetic variation include...
- The 33 Variations on a waltz by Anton Diabelli, Op. 120, commonly known as the Diabelli Variations, is a set of variations for the piano written between...
- In linguistics, free variation is the phenomenon of two (or more) sounds or forms appearing in the same environment without a change in meaning and without...