Phrase Hound found 20 phrases and 1 compound words that contain integrals. The most common are listed below. Open integrals in the live search for definitions, filters, and the full list.
Phrases 20
- fundamental theorem of calculus for line integralsA generalization of the fundamental theorem of calculus to line integrals of vector fields, which states that the line integral of a conservative vector field along a path can be computed by evaluating the potential function at the …
- definite integralsplural of definite integral: The integral of a function between an upper and lower limit
- improper integralsplural of improper integral: An integral where at least one of the endpoints is taken as a limit, either to a specific number or to infinity.
- indefinite integralsplural of indefinite integral: The set of all functions whose derivative is a given function; the set of all antiderivatives of a given function.
- line integralsplural of line integral: An integral whose integrand's domain is a curve.
- volume integralsplural of volume integral: An integral over a 3-dimensional domain.
- iterated integralsplural of iterated integral: In multivariable calculus, the result of applying integrals to a function of more than one variable in such a way that each of the integrals considers some of the variables as given constants.
- Riemann-Stieltjes integralsplural of Riemann-Stieltjes integral: A generalization of the Riemann integral, serving as a precursor of the Lebesgue integral and a means of unifying equivalent forms of statistical theorems that apply to discrete and continuous …
- Barnes integralsplural of Barnes integral: A contour integral involving a product of gamma functions, closely related to generalized hypergeometric series.
- contour integralsplural of contour integral: The integral of a function around a contour on the complex plane.
- Jackson integralsplural of Jackson integral: The series expansion ∫₀ᵃf(x),rm d_qx=(1-q),a∑ₖ₌₀ ᪲qᵏf(qᵏa). for real variable a and function of a real variable f(x).
- particular integralsplural of particular integral: Any solution to a differential equation.
- surface integralsplural of surface integral: An integral over a 2-dimensional domain
- logarithmic integralsplural of logarithmic integral: A special function written using the symbol li and defined as operatorname lix=∫₀ˣ(dt)/(ln t).
- Riemann integralsplural of Riemann integral: A type of integral whose computation involves dividing the interval of integration into smaller sub-intervals, summing sample values of the integrand inside those sub-intervals multiplied by their lengths, and …
- Lebesgue integralsplural of Lebesgue integral: An integral which has more general application than that of the Riemann integral, because it allows the region of integration to be partitioned into not just intervals but any measurable sets for which the …
- Hellinger integralsplural of Hellinger integral: A special case of the Kolmogorov integral, used to define the Hellinger distance in probability theory.
- Choquet integralsplural of Choquet integral: A kind of subadditive or superadditive integral to measure the expected utility of an uncertain event.
- Sugeno integralsplural of Sugeno integral: A type of integral with respect to a fuzzy measure.
- Mellin-Barnes integralsplural of Mellin-Barnes integral: A contour integral involving a product of gamma functions, closely related to generalized hypergeometric series.
Compound words 1
- differintegralsplural of differintegral: Any type of mathematical operator which combines the properties of the fractional derivative and the fractional integral.