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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.

- Look up variation in Wiktionary, the free dictionary. Variation or Variations may refer to: Variation (astronomy), any perturbation of the mean motion...

- Variational may refer to: Look up variational or variation in Wiktionary, the free dictionary. Calculus of variations, a field of mathematical analysis...

- Edward Elgar composed his Variations on an Original Theme, Op. 36, po****rly known as the Enigma Variations, between October 1898 and February 1899. It...

- Rococo Variations may refer to: Variations on a Rococo Theme by Tchaikovsky Rococo Variations (ballet) by Christopher Wheeldon made to the Tchaikovsky...

- The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and...

- Aria to Variation 9 Variations 10 to 22 Variations 23 to Aria Da Capo All of the above performed by David Ezra Okonşar Problems playing these files? See...

- Finale of Brahms's Fourth Symphony, Variations on a Theme of Haydn, Op. 56, Elgar's Enigma Variations, Franck's Variations Symphoniques, and Richard Strauss's...

- Powers's 'Gold Bug Variations'". Mosaic. 31 (4). Winnipeg: 151. December 1, 1998. Wikiquote has quotations related to The Gold Bug Variations. Bibliography...

- 32 Variations in C minor performed in 2010 Problems playing this file? See media help. 32 Variations on an Original Theme in C minor, WoO 80 (German:...

- November 2023, Sheeran performed Autumn Variations in its entirety at the Royal Albert Hall, London. Autumn Variations received a score of 62 out of 100 on...

- Variational may refer to: Look up variational or variation in Wiktionary, the free dictionary. Calculus of variations, a field of mathematical analysis...

- Edward Elgar composed his Variations on an Original Theme, Op. 36, po****rly known as the Enigma Variations, between October 1898 and February 1899. It...

- Rococo Variations may refer to: Variations on a Rococo Theme by Tchaikovsky Rococo Variations (ballet) by Christopher Wheeldon made to the Tchaikovsky...

- The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and...

- Aria to Variation 9 Variations 10 to 22 Variations 23 to Aria Da Capo All of the above performed by David Ezra Okonşar Problems playing these files? See...

- Finale of Brahms's Fourth Symphony, Variations on a Theme of Haydn, Op. 56, Elgar's Enigma Variations, Franck's Variations Symphoniques, and Richard Strauss's...

- Powers's 'Gold Bug Variations'". Mosaic. 31 (4). Winnipeg: 151. December 1, 1998. Wikiquote has quotations related to The Gold Bug Variations. Bibliography...

- 32 Variations in C minor performed in 2010 Problems playing this file? See media help. 32 Variations on an Original Theme in C minor, WoO 80 (German:...

- November 2023, Sheeran performed Autumn Variations in its entirety at the Royal Albert Hall, London. Autumn Variations received a score of 62 out of 100 on...

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