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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.

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.

- synonym in prose Variation, album by Akina Nakamori Les Variations, a French rock group Variations (Andrew Lloyd Webber album), 1978 Variations (Eddie Rabbitt...

- Variational may refer to: Calculus of variations, a field of mathematical analysis that deals with maximizing or minimizing functionals Variational method...

- he hypothesized that variations in eccentricity, axial tilt, and precession of the Earth's orbit resulted in cyclical variation in the solar radiation...

- Goldberg Variations, BWV 988, are a work written for harpsichord by Johann Sebastian Bach, consisting of an aria and a set of 30 variations. First published...

- Master System games, as well as multiple first and third party licensed variations of the console. Sega created two network services to support the Genesis:...

- Calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima...

- Stephen Thomas. "Mule Variations – Tom Waits". AllMusic. Retrieved November 24, 2015. Browne, David (April 30, 1999). "Mule Variations". Entertainment W****ly...

- 4♥ 5♥ 6♥ 7♥. Very few variations allow runs that have mixed suits. In a few variations of rummy other patterns may be allowed. In some variations the melds (sets...

- suite), Corelli's La Folia Variations, Beethoven's Diabelli Variations, the Finale of Brahms's Fourth Symphony, Variations on a Theme of Haydn, Op. 56...

- containing nearly a billion people. As a result, there are pronounced regional variations in pronunciation, vocabulary, and grammar, and many Mandarin varieties...

- Variational may refer to: Calculus of variations, a field of mathematical analysis that deals with maximizing or minimizing functionals Variational method...

- he hypothesized that variations in eccentricity, axial tilt, and precession of the Earth's orbit resulted in cyclical variation in the solar radiation...

- Goldberg Variations, BWV 988, are a work written for harpsichord by Johann Sebastian Bach, consisting of an aria and a set of 30 variations. First published...

- Master System games, as well as multiple first and third party licensed variations of the console. Sega created two network services to support the Genesis:...

- Calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima...

- Stephen Thomas. "Mule Variations – Tom Waits". AllMusic. Retrieved November 24, 2015. Browne, David (April 30, 1999). "Mule Variations". Entertainment W****ly...

- 4♥ 5♥ 6♥ 7♥. Very few variations allow runs that have mixed suits. In a few variations of rummy other patterns may be allowed. In some variations the melds (sets...

- suite), Corelli's La Folia Variations, Beethoven's Diabelli Variations, the Finale of Brahms's Fourth Symphony, Variations on a Theme of Haydn, Op. 56...

- containing nearly a billion people. As a result, there are pronounced regional variations in pronunciation, vocabulary, and grammar, and many Mandarin varieties...

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