Constant of integration


Constant of integration
Constant Con"stant, n. 1. That which is not subject to change; that which is invariable. [1913 Webster]

2. (Math.) A quantity that does not change its value; -- used in countradistinction to {variable}. [1913 Webster]

3. (Astron.) A number whose value, when ascertained (as by observation) and substituted in a general mathematical formula expressing an astronomical law, completely determines that law and enables predictions to be made of its effect in particular cases. [Webster 1913 Suppl.]

4. (Physics) A number expressing some property or condition of a substance or of an instrument of precision; as, the dielectric constant of quartz; the collimation constant of a transit instrument. [Webster 1913 Suppl.]

5. (Computers) a data structure that does not change during the course of execution of a program. It may be a number, a string, or a more complex data structure; -- contrasted with {variable}. [PJC]

{Aberration constant}, or {Constant of aberration} (Astron.), a number which by substitution in the general formula for aberration enables a prediction to be made of the effect of aberration on a star anywhere situated. Its value is 20[sec].47.

{Absolute constant} (Math.), one whose value is absolutely the same under all circumstances, as the number 10, or any numeral.

{Arbitrary constant}, an undetermined constant in a differential equation having the same value during all changes in the values of the variables.

{Gravitation constant} (Physics), the acceleration per unit of time produced by the attraction of a unit of mass at unit distance. When this is known the acceleration produced at any distance can be calculated.

{Solar constant} (Astron.), the quantity of heat received by the earth from the sun in a unit of time. It is, on the C. G. S. system, 0.0417 small calories per square centimeter per second. --Young. [Webster 1913 Suppl.]

{Constant of integration} (Math.), an undetermined constant added to every result of integration. [1913 Webster + Webster 1913 Suppl.]


The Collaborative International Dictionary of English. 2000.

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  • Constant of integration — In calculus, the indefinite integral of a given function (i.e., the set of all antiderivatives of the function) is only defined up to an additive constant, the constant of integration.[1][2] This constant expresses an ambiguity inherent in the… …   Wikipedia

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  • constant of integration — integravimo konstanta statusas T sritis fizika atitikmenys: angl. constant of integration vok. Integrationskonstante, f rus. константа интегрирования, f; постоянная интегрирования, f pranc. constante d’intégration, f …   Fizikos terminų žodynas

  • constant of integration — Math. a constant that is added to the function obtained by evaluating the indefinite integral of a given function, indicating that all indefinite integrals of the given function differ by, at most, a constant. * * * …   Universalium

  • constant of integration — Math. a constant that is added to the function obtained by evaluating the indefinite integral of a given function, indicating that all indefinite integrals of the given function differ by, at most, a constant …   Useful english dictionary

  • constant of integration — noun An unspecified constant term added to a particular antiderivative to make it represent its whole family of antiderivatives …   Wiktionary

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  • Constant — Con stant, n. 1. That which is not subject to change; that which is invariable. [1913 Webster] 2. (Math.) A quantity that does not change its value; used in countradistinction to {variable}. [1913 Webster] 3. (Astron.) A number whose value, when… …   The Collaborative International Dictionary of English

  • Constant of aberration — Constant Con stant, n. 1. That which is not subject to change; that which is invariable. [1913 Webster] 2. (Math.) A quantity that does not change its value; used in countradistinction to {variable}. [1913 Webster] 3. (Astron.) A number whose… …   The Collaborative International Dictionary of English

  • Integration by parts — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia